when the sun is 35° above the horizon. how long is the shadow cast by a building 15 metres high?​

Answers

Answer 1

Therefore , the solution of the given problem of trigonometry comes out to be approximately 21.424 metres long when the sun is 35 degrees above the horizon.

What is trigonometry?

Some people assert that the growth of astrophysics was influenced by the merging of various fields. Many metric problems can be solved or the result of a calculation can be ascertained with the use of exact mathematical techniques. Trigonometry is the study of the six basic geometric calculations from a scientific perspective. They go by many other names and acronyms, including sine, variance, direction, and others. (csc).

Here,

When the sun is at a 35° elevation angle and the structure is 15 metres tall, we want to determine the length of the shadow (on the next side).

Let x represent the desired shadow's length. Next, we have

=> tan 35° = 15/x

When we multiply both sides by x, we obtain:

=> x tan 35° = 15

By dividing both sides by 35° of tan, we obtain:

=> x = 15 / tan 35°

We may calculate the value of the tangent of 35 degrees using a calculator:

=> tan 35° ≈ 0.7002

Next, we have

=> 15x/0.702x=21.424 metres

Consequently, a building 15 metres high will create a shadow that is approximately 21.424 metres long when the sun is 35 degrees above the horizon.

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Related Questions

8 is less than or equal to -3x +26

Answers

The solution is: x ≥ 6.

What is linear inequalities?

Linear inequality is an equation or expression that do not have a definite solution. Thus it consist of either of greater than, less than, greater than or equal to, less than or equal to etc.

In the given inequality question, we have;

8 is less than or equal to -3x +26

This can be expressed as;

8 ≤ -3x +26

so that collecting like terms,

8 - 26 ≤ -3x

-18 ≤ -3x

-18/ -3 ≤ x

6 ≤ x

Therefore, x ≥ 6.

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Casey is going to wear a gray sportscoat and is trying to decide what tie he should wear to work. In his​ closet, he has 29 ​ties, 15 of which he feels go well with the sport coat. If Casey selects one tie at​ random, determine the probability and the odds of the tie going well or not going well with the sport coat.

Answers

The probability of Casey selecting a tie that goes well with the sport coat is 0.517.

The probability of Casey selecting a tie that does not go well with the sport coat is 0.483

What are the probability and the odds of the tie going well or not going well with the sport coat?

The probability of Casey selecting a tie that goes well with the sport coat is:

P(goes well) = 15/29

P(goes well) ≈ 0.517

The probability of Casey selecting a tie that does not go well with the sport coat is:

P(does not go well) = 1 - P(goes well)

P(does not go well) = 1 - 15/29 = 14/29

P(does not go well) ≈ 0.483

The odds in favor of the tie going well with the sport coat are:

P(goes well) : P(does not go well) = 15/29 : 14/29

P(goes well) : P(does not go well) = 15:14

The odds against the tie going well with the sport coat are:

P(does not go well) : P(goes well) = 14/29 : 15/29

P(does not go well) : P(goes well) = 14:15

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Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 14 gallons of fuel, the airplane weighs 2091 pounds. When carrying 48 gallons of fuel, it weighs 2312 pounds. How much does the airplane weigh if it is carrying 52 gallons of fuel?

Answers

The airplane weigh if it is carrying 52 gallons of fuel will be, 2338 pounds

Let,

Weight of airplane = y

Amount of fuel = x

The general linear equation can be written as, y=mx + c, where, (m) is slope, and (c) is a constant.

It is given,

2091 = 14m + c ..... (1)

2312 = 48m + c ..... (2)

On subtracting, (1) with (2), we get

221 = 34m

m= (221/34)= 6.5

Now, on putting the value of (m) in (1), we get,

2091 = 14(6.5) + c

So,

c = 2000

Therefore, the linear equation can be written as,

y = (6.5)mx + 2000

Now to find the airplane weight at 52 gallons of fuel, we put x = 52, to find y.

That is,

y = (6.5)(52) + 2000

y = 2338

So, the airplane weigh if it is carrying 52 gallons of fuel will be, 2338 pounds.

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Lou is 1,200 feet from the base of a building that stands 500 feet tall. Assuming Lou's height is negligible, determine the angle of elevation from him to the top of the building. First, choose which angle represents the angle of elevation and then select the measure of that angle from the choices provided.
Select TWO correct answers.

Answers

We can see from the calculation that the angle of elevation of the building is 22.6 degrees.

Explain angle of elevation

The angle of elevation is the angle between the horizontal plane and the line of sight from an observer to an object that is above the observer's level. It is the upward angle from the observer's eye to the object being observed.

We have that;

Tan θ = 500/1200

θ = tan-1 (500/1200)

θ = 22.6 degrees

Thus the angle of elevation is obtained as 22.6 degrees as we can see here.

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Evaluate (11/16−(3/4)2)×1

Answers

Answer:

-166/, -0.82,

Step-by-step explanation:

The above fraction, decimal are all evaluated answer for (11/16−(3/4)2)×1

Prepare the journal entry to record Jevonte Company's issuance of 29,000 shares of its common stock assuming the shares have a
a. $3 par value and sell for $16 cash per share.
b. $3 stated value and sell for $16 cash per share.
View transaction list
Journal entry worksheet
<
2
Record the issuance of 29,000 shares of common stock assuming the shares
have a $3 par value and sell for $16 cash per share.
Note: Enter debits before credits.
Transaction
General Journal
Cash
Common stock, $3 par value
Paid-in capital in excess
Debit
Credit

Answers

The journal entry to record the transaction is given:

Account Debit Credit

Cash $464,000

Common Stock, $3 par value $87,000

Paid-in capital in excess of par  $377,000

What is a journal entry?

A journal entry is used to record a business transaction in the accounting records of a business.

A journal entry is usually recorded in the general ledger. Alternatively, it may be recorded in a subsidiary ledger that is then summarized and rolled forward into the general ledger

Assuming the shares have a $3 par value and sell for $16 cash per share:

Cash reeived from issuance of 29,000 common shares = 29,000 x $16 = $464,000

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Christian earned a grade of 67% on his multiple choice science final that had a total of 200 problems. How many problems on the final exam did Christian answer correctly?

Answers

Answer: 134.

Step-by-step explanation:

First revert 67% into it's decimal form. You get 0.67. Then, multiply 0.67 by 200 because there were 200 problems.

0.67 x 200

67 x 2

134

So, christian got 134 out of 200 problems correct.

Which sequence below would best model the description? 50 points!

Answers

The amount of oxygen released by the tree grows at a rate of 12% per year, but the tree cannot generate more than 6000 pounds of oxygen per year. So, the function should grow by 12% each year until it reaches a maximum value of 6000 pounds per year.

Therefore, the correct sequence to model the description is:

a) f(n) = 1.12f (n - 1) if f(n-1) < 6000

where:
- f(n) is the amount of oxygen released in pounds in year n
- f(n-1) is the amount of oxygen released in pounds in year n-1

The initial value is f(1) = 250 pounds, which is the amount of oxygen released by the tree in its first year.

Option (a) represents this sequence correctly. It says that the amount of oxygen released in year n is 1.12 times the amount released in year n-1, but only if the amount released in year n-1 is less than 6000 pounds.

The approximate number of zombies in a certain city over time is given in the table below. Answer the questions below to determine what kind of function would best fit the data, linear or exponential.
Number of Hours Since Zombies First Spotted, x
1
2
3
4
Approximate Number of Zombies, f(x)
24
56
88
122


function would best fit the data because as x increases, the y values change
. Rounded to the nearest .5, the
of this function is approximately

Answers

A linear function would be the best fit for the given data because as x increase the y-values change linearly.

Rounded to the .5 the slope of the function is approximately 32.5

Which type of function models the population?

A linear relation means that any increase of 1 unit in the independent variable (x) has always the same impact in the other variable (y).

In this particular case, the increases in the y-value are:

56 - 24 = 32

88 - 56 = 32

122 - 88 = 34

The mean of that, rounded to .5, is (32 + 32 + 34)/3 = 32.5

So the change is almost the same one, then this seems to be a linear relation.

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whats the answer to this

Answers

The calculated length of XY in the right triangle XYZ is 6

Calculating the length of XY in the right triangle

From the question, we have the following parameters that can be used in our computation:

The right triangle

The value of XY in the right triangle can be calculated using the following sine ratio

sin(30) = XY/XZ

So, we have

sin(30) = XY/12

Cross multiply the equation

So, we have

XY = 12 * sin(30)

Evaluate the products

XY = 6

Hence, the length of XY in the right triangle is 6

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The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 73.6% of their carbon-14. How old were the bones at the time they were discovered?
The bones were about how many years old?

Answers

The age of the radioactive element of half-life 5750 years is 11047.8  years.

What is a radioactive element?

Radioactive elements are atoms that are unstable in normal conditions and are converted in another different atoms.

To calculate how old is the bone at the time it was discovered, we use the formula below.

Formula:

R/R' = [tex]2^{t/n}[/tex]...................... Equation 1

Where:

R = Original percentage of the boneR' = Percentage of the bone after decayt = Years of the bonen = Half-life

From the question,

Given:

R = 100%R' = 100-73.6 = 26.4%n = 5750 years

Substitute these values into equation 1 and solve for t

100/26.4 = [tex]2^{t/5750}[/tex][tex]2^{t/5750}[/tex] = 3.7878 t/5750 = log[tex]2^{3.7878}[/tex][tex]{t/5750}[/tex] = t/5750 = 1.921t = 1.921×5750t = 11047.8 years

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The table shows the home state of the 175 high school students who attended a tri-state debate tournament. The ratio of Illinois students to Michigan students was 6:5. How many students were from Indiana?

Answers

Let's start by setting up a proportion to represent the ratio of Illinois students to Michigan students:

Illinois students / Michigan students = 6/5

We can simplify this proportion by multiplying both sides by 5:

Illinois students = 6/5 * Michigan students

Next, we can use the information in the table to set up an equation that relates the number of Illinois students, Michigan students, and Indiana students:

Illinois students + Michigan students + Indiana students = 175

We can substitute the expression we obtained for the number of Illinois students into this equation:

6/5 * Michigan students + Michigan students + Indiana students = 175

Multiplying both sides by 5 to eliminate the fraction, we get:

6 * Michigan students + 5 * Michigan students + 5 * Indiana students = 875

Combining like terms, we get:

11 * Michigan students + 5 * Indiana students = 875

Now we can use the fact that the ratio of Illinois students to Michigan students is 6:5 to set up another equation:

Illinois students / Michigan students = 6/5

Substituting the values from the table, we get:

Illinois students / Michigan students = 24/20

Cross-multiplying, we get:

Illinois students * 20 = Michigan students * 24

Simplifying, we get:

Illinois students = 6/5 * Michigan students = 24/20 * Michigan students = 6/5 * 24 Michigan students = 28.8 Michigan students

Since the number of students must be a whole number, we can round 28.8 up to 29. This means that there were 29 Michigan students.

Substituting this into the equation we obtained earlier, we get:

11 * 29 + 5 * Indiana students = 875

Solving for Indiana students, we get:

5 * Indiana students = 875 - 11 * 29 = 546

Dividing both sides by 5, we get:

Indiana students = 546/5 = 109.2

Since the number of students must be a whole number, we can round 109.2 up to 110. This means that there were 110 Indiana students.

Therefore, the answer is 110 students from Indiana.

Need this answer please and show work

Answers

The value of the "trigonometric-expressions' are :

(a) tan(5π/2) is undefined,

(b) sec(315°) is √2.

Part(a) : The expression "tan(5π/2)" is undefined because the tangent function is undefined at odd multiples of π/2, which includes 5π/2.

Part(b) : To find the value of sec(315°), we use the identity: sec(θ) = 1/cos(θ),

First, we convert 315° to radians:

Which is : 315° = (7π/4) radians;

Next, we find the value of cos(7π/4):

⇒ cos(7π/4) = cos(π/4) = (√2)/2;

Finally, we substitute in the identity for sec(θ);

So, Sec(7π/4) = 1/cos(7π/4) = 1/[(√2)/2] = √2.

Therefore, value of sec(315°) is √2.

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The given question is incomplete, the complete question is

Find the value of the trigonometric expressions :

(a) tan(5π/2)

(b) sec(315°)

A patient weighs 160 pounds and needs medication with dosage instructions of 15 mg/kg/day. It is to be given in 3 doses each day. How much medication should they receive per dose? Remember, 2.2 pounds is equal to 1 kilogram. Round to the nearest whole number.

Answers

The amount of medication should they receive per dose is,

⇒ 363.6 mg

Given that;

A patient weighs 160 pounds and needs medication with dosage instructions of 15 mg/kg/day.

And, It is to be given in 3 doses each day.

Hence, We get;

1 pounds = 1/2.2 kg

160 pounds = 160 x 1/2.2 kg

                  = 72.72 kg

Since, It is to be given in 3 doses each day.

Hence, The amount of medication should they receive per dose is,

⇒ 72.72 x 15 / 3

⇒ 363.6 mg

Thus, The amount of medication should they receive per dose is,

⇒ 363.6 mg

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You are trying to determine if a router you’re thinking of purchasing will give off a strong enough wifi signal to cover the area in your house. The router you have selected will cover an area of 850 ft^2
HELP ME PLEASE AND SHOW WORK THANK YOU WILL MARK BRAINLIEST.

Answers

Based on the image, we can infer that the router cannot cover the kitchen area.

How to calculate if the router covers the living room and kitchen area?

To calculate if the router covers the living room and kitchen area, we must identify the area that the router can cover. In this case, the router covers an area of 850 square feet. However, we must take into account that this area is counted around the router.

From the above, we can infer that the router has signal coverage of 14 meters around it, so it would only cover the living room area.

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A triangle is translated by using the rule (x,y) → (x-4.y+1). Which describes how the figure is moved?
O four units left and one unit down
O four units left and one unit up
O one unit right and four units down
O one unit right and four units up
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

Four units left and one unit up

Step-by-step explanation:

Since we're subtracting from x, the figure is going to go toward the left side of the coordinate plane, and since we're adding to y, the figure is going to go up.

if you are standing 350 feet away from a "1000" foot tall skyscraper, what angle of elevation is needed for you to look up and see the top of the building? when your angle of elevation is at 25 degrees you see your friend waving at the window. exactly how far apart are you?

Answers

Answer:

70.7°

350 feet

Im not too sure about the last one

If x=3t+t^2 and y=7−2t, find an equation y=mx+b of the tangent to the curve at t=2.
m=
b=

Answers

The values of m and b after evaluation is -2 and 23 under the condition that If x=3t+t² and y=7−2t, and  tangent to the curve at t=2.

In orde to evaluate the equation of the tangent to the curve at t=2, we have to calculate the slope of the curve at t=2.
The slope of the curve at t=2 is presented by the derivative of y with respect to x at t=2.
y = 7 - 2t
x = 3t + t²
dy/dx = -2
Then, the slope of the tangent to the curve at t=2 is -2.
Now we have to evaluate the point on the curve at t=2.
x = 3(2) + (2)² = 10
y = 7 - 2(2) = 3
So, the point on the curve at t=2 is (10,3).
Applying  point-slope form of equation of line:
y - y₁ = m(x -x₁)
Here,
m = slope and (x₁,y1) is a point on the line.
Staging m=-2 and (x₁,y₁)=(10,3),
y - 3 = -2(x - 10)
Applying simplification
y = -2x + 23
Then, the equation of the tangent to the curve at t=2 is y=-2x+23.
So, m=-2 and b=23.
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What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent

Answers

The coordinates of the midpoints of the given line segment is:

(3.5, 1.5)

How to find the midpoints of a line segment?

The midpoint of a line segment is simply referred to as the center of that specific line segment.

Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.

The coordinates of the endpoints of the line are:

(4,6) and (3,-3)

The formula to find the coordinates of the midpoint of the line is:

(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Thus, we have:

(x, y) = (4 + 3)/2, (6 - 3)/2

= (3.5, 1.5)

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Write the coordinates of the vertices after a reflection over the x-axis.
y
x
-10
10
-10
10
0
T
U
V


T(-1, 7)

T′(
,
)
U(-1, 8)

U′(
,
)
V(9, 6)

V′(
,
)

Answers

T(-1, 7)

T′(-1, -7)

U(-1, 8)

U′(-1, -8)

V(9, 6)

V′(9, -6)

Write an equation that can be used to determine the angle measure, in degrees, of angle DBC. Let n represent the measure of angle DBC. Then determine the measure of n

Answers

An equation that can be used to determine the angle measure, in degrees, of angle DBC is 67 + n = 90.

The measure of n is equal to 23 degrees.

What is a complementary angle?

In Mathematics and Geometry, a complementary angle refers to two (2) angles or arc whose sum is equal to 90 degrees (90°).

By substituting the given parameters into the complementary angle formula, the sum of the angles is given by the following mathematical equation;

∠ABD + ∠DBC = 90

∠ABD + n = 90

67 + n = 90.

n = 90 - 67

n = 23°

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The sum of two numbers is 998
The difference between them is 10
What are the two numbers?

Answers

Answer:

The two numbers are 494 and 504

Step-by-step explanation:

Let x = one of the numbers

Let y = the other number

x + y = 998

x - y = 10   or x = y + 10

Substitute y + 10 for x in the first equation and solve for y

x + y = 998

y + 10 + y = 998  Subtract 10 from both sides

y + y = 988  Combine like terms

2y = 988  Divide both sides by 2

y = 494

One of the numbers is 494.

x = y + 10  Substitute 494 for y

x = 494 + 10

x = 504

The other number is 504.

Check:

x + y = 998

504 + 494 = 998

998 = 998 checks

x - y = 10

504 - 494 = 10

10 = 10 checks

Helping in the name of Jesus.

The diagonal of a square is 32 cm. What is the length of one side of the square rounded to the nearest tenth?

Answers

The length of the square with a diagonal of 32 cm is 22.6 cm.

What is a square?

A square is a plane shape with all sides and angles equal.

To calculate the length of the square from its diagonal, we use Pythagoras formula

Formula:

d² = l²+l².................... Equation 1

Where:

d = Diagonal of the squarel = length of the square

From the question,

Given:

d = 32 cm

Substitute these values into equation 1 and solve for l

32² = l²+l²1024 = 2l²l² = 1024/2l² = 512l = √512l = 22.6 cm

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1. A biologist hypothesizes that the mean life expectancy of a cockroach is 17 days. Researchers believe the true mean is less than 17 days and they plan a hypothesis test at the 10% significance level on a random sample of 80 of these cockroaches. If the alternative hypothesis is correct, for which of the following values of μ is the power of the test greatest?
A. μ = 9
B. μ = 10
C. μ = 17
D. μ = 20
E. μ = 21
2.Automobile tires can have a symmetric tread or an asymmetric tread. An experiment is to be conducted to determine whether the stopping distance is the same for both types of tire treads. In previous studies, it was determined that automobile size (small, medium, large) is associated with stopping distance, but automobile type (van, truck, SUV, and so on) is not associated with stopping distance. How could the experiment BEST be conducted?
A. By blocking on stopping distance
B. By blocking on tire tread type
C. By blocking on automobile type
D. By blocking on automobile size
E. Without blocking
3. A popular podcast wants to know the proportion of listeners that think assault weapons should be banned for civilians. Listeners are asked to text "Y" for yes or "N" for no to a provided number. Sixty-five percent of the 1,500 people that responded texted "Y." Which condition for inference has NOT been met?
A. All conditions appear to be met.
B. The sample is an SRS of the population.
C. N > 10n
D. np ≥ 10 and n(1 - p) ≥ 10
E. Inference about a proportion is the objective.
4.Fifteen pairs of measurements were taken at random to estimate the relation between variables X and Y. A least-squares line was fitted to the collected data. The resulting residual plot is shown.
Which of the following conclusions is appropriate?
A. A line is an appropriate model to describe the relation between X and Y.
B. A line is not an appropriate model to describe the relation between X and Y.
C. The assumption of the Law of Averages has been violated.
D. The variables X and Y are not related at all.
E. There is not enough information about the variables X and Y to form a conclusion.

Answers

For 1 is 17 that is the answer for 1

Pls help
Me i have alot and this is due tomorrow

Answers

Answer:12

8,8,8,8, 9 ,10,12,12,14

(7x^9)^2*3x^11

^ is the exponent sign

Answers

The answer in exponent form is 147x^29.

What is a scientific notation?

A scientific notation is a method of expressing very large numbers in the form of exponent.

In the given question, we have;

(7x^9)^2*3x^11

applying the law of indices,

(7x^9)^2*3x^11 = (7^2)*x^(9*2)*3x^11

                        = 49x^18*3x^11

                        = (49*3)*x^(18+11)

                        = 147x^29

Thus, the expression can be simplified as: 147x^29.

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Lin has 9 plates she puts 1/4 of a sandwich on each plate which expression represents the sandwiches in the situation
A. 9x4
B. 9x1/4
C. 4x9
D. 4x1/9

Answers

Answer: B

Explanation:
It says there are 9 PLATES
she puts 1/4 of a sandwhich on EACH!
meaning that each plate of the 9 plates have 1/4.

PLEASE HELP ITS DUE TOMORROW!!!

Answers

Answer:

Step-by-step explanation:

House

B) Down Payment: $151,800

C) $607,200

D) $819,720

E) $1,426,920

F) $47,564

Car:

B) $2,902.50

C) $16,447.50

D) $3,700.6875 = $3,700.69

E) $20,148.1875 = $20,148.19

F) $335.803125 = $335.80


DONE !!! :)

Find the volume of the cylinder. Use π = 3.14.
(If answered correctly with an explanation giving brainlyest)

A. 321.54 ft3

B. 10,048 ft3

C. 8,038.4 ft3

D. 100.48 ft3

Answers

The volume of a cylinder whose diameter measures 32 feet and has a height of 10 feet is equal to: C. 8,038.4 ft³.

How to calculate the volume of a cylinder?

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.

Note: Radius = diameter/2 = 32/2 = 16 ft.

By substituting the parameters, we have:

Volume of cylinder, V = 3.14 × 16² × 10

Volume of cylinder, V = 8,038.4 cubic feet.

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9. Which statements contradict each other? I. triangle ABC is a right triangle. II. m angle A = 41° III. m angle B = 103° A. I and II B. I and III C. II and III D. None of the statements are contradictory. 1​

Answers

The contradicting statement is

B. I and III

How to know the contradictory statement

The contradictory statement is that of I and III since the sum of angles in a triangle is always 180 degrees.

Given that

I. triangle ABC is a right triangle. say angle C = 90 degrees and

angle B = 103 degrees,

So the sum of the angles in the triangle would be:

= angle B + m angle C

= 103 + 91

= 194

This is against the law of angles of a triangle

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Other Questions
In what ways is crooks even more lonely than the other men on the ranch? and what do we learn about his past? in the book Of mice and men? How far is the aircraft from station P? An aircraft is picked up by radar station P and Radar Q which are 120 miles apart Which of erikson's psychosocial stages of development focuses on individuals connecting their personal journeys with the cultural and historical purposes of human society what are the consequences of global warming with reference to africa? elie wiesel night, Reflect around how Wiesel writes. What is the style and tone like in the text? Illustrate with quotations, please. Can you refer to anything from the popping segment we just ended? What is the mood like in the text; does Wiesel evoke any emotions by the WAY he writes. Elaborate What percentage of all people employed in the united states work in a marketing job or a marketing business?. Before beginning the activity, collect water from two different water sources. One source should beindoor tap water. The other source should be outdoors, such as a pond, stream, or well. You will needapproximately one gallon from each water source to complete each test.Part ABefore analyzing the two water samples, predict the outcome of the test from each source. Howdo you anticipate the concentration of contaminants will compare between the outdoor andindoor water sources? SW Inc. S preferred stock, which pays a $5. 25 dividend each year, currently sells for $62. 50. The company's marginal tax rate is 40 percent. When it issues preferred stock, SW normally incurs flotation costs equal to 8 percent. What is the cost of preferred stock, rps, that should be included in the computation of the SW Inc. S weighted average cost of capital how energy gets into the air and what happens to the air temperature. Use the information given to answer the question.The save percentage for a hockey goalie is determined by dividing the number of shotsthe goalie saves by the total number of shots attempted on the goal.Part BDuring the same season, a backup goalie saves t shots and has a save percentage of0.560. If the total number of shots attempted on the goal is 75, exactly how many shotsdoes the backup goalie save?14 shots21 shots37 shots42 shots Select the correct answer from each drop-down menu.Which amendment in the US Constitution provides citizenship to a person born in the United States?clause of theTheAmendment states that a person born in the United States is a US citizen. Which grand sauce is more so called a grand sauce because of the technique used making it is used for other sauces rather than the sauce itself being used as a derivative? I NEED A GOOD GRADE SO I CAN BE A STEPPER NEXT YEAR !!!!! A 100 n force pulls a box horizontally across a floor for 2 m. how much was done by the force of gravity (which pulls straight down on the box)?a. 50 jb. 0 jc. 100 jd. 200 j how can you be an active bystander? a: look for ways to help b: speak out against offensive comments c: stand up against derogatory behavior d: understand that it's better to make the right choice than the easy choice e: all of the above outline the negative impact of drought on the farmers of South Africa Find the inflection points and the intervals in which the function f(x) = x^4 - 4x^3 is concave up and concave down. What is the approximate area of the figure?20 square meters40 square meters80 square meters 100 square meters a math teacher gave her class two test 70% of the class passed both tests and 80% of the class passed the first test what percent of those who passed the first test also passed the second test this statement is an example of supplementary probability true or false Can someone help me paraphrase this? (2) Everything has tended to regenerate them; new laws, a new mode of living, a new social system; here they are become men: in Europe they were as so many useless plants, wanting vegetative mold, and refreshing showers; they withered, and were mowed down by want, hunger, and war; but now by the power of transplantation, like all other plants they have taken root and flourished! Formerly they were not numbered in any civil lists of their country, except in those of the poor; here they rank as citizens. By what invisible power has this surprising metamorphosis been performed? By that of the laws and that of their industry. The laws, the indulgent laws, protect them as they arrive, stamping on them the symbol of adoption; they receive ample rewards for their labors; these accumulated rewards procure them lands; those lands confer on them the title of freemen, and to that title every benefit is affixed which men can possibly require. This is the great operation daily performed by our laws. From whence proceed these laws? From our government. Whence the government? It is derived from the original genius and strong desire of the people.....