Mathematics High School

Use trigonometric ratios to find the indicated side
lengths in the diagram shown. Show your work and
write your answers to the nearest tenth.
M
2
150
h
P
68
b
N
a. a
b. b

Use Trigonometric Ratios To Find The Indicated Sidelengths In The Diagram Shown. Show Your Work Andwrite

Answers

Answer 1

Answer:

a = 139.1

b = 56.2

Step-by-step explanation:

A. Reference angle = 68°

Opp = a

Hyp = 150

Therefore:

Sin 68 = opp/hyp

Sin 68 = a/150

150*sin 68 = a

a = 139.1 (nearest tenth)

B. Reference angle = 68°

Adj = b

Hyp = 150

Therefore:

Cos 68 = adj/hyp

Cos 68 = b/150

150*cos 68 = b

b = 56.2 (nearest tenth)

Related Questions

Aunt Martina is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Sparrowtown Bakery charges $2 for each cupcake, plus $50 for the large cake. Dakota's Sweet Shoppe charges $44 for the large cake and $4 for each cupcake. If Aunt Martina orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be? How many cupcakes would that include?

Answers

Answer:

3 cupcakes

Total of $56

Step-by-step explanation:

First we would need to create an expression for the total of each bakery, which would be the following with x representing the number of cupcakes.

2x + 50

4x + 44

Since we know that the total for both bakeries was the same we can simply make the expressions equal to one another and solve for x.

2x + 50 = 4x + 44  ... subtract 2x on both sides

50 = 2x + 44  ... subtract 44 on both sides

6 = 2x   ... divide both sides by 2

3 = x

Finally, we can see that at 3 cupcakes the total for both bakeries will be the same and be a total of

2(3) + 50

6 + 50

$56

what is the sum of 7 and t/2

Answers

Answer:

14/2+t/2 so ( 14+t)/2 is the answer

7+(t/2) =
(7)(2)+(t)(1) /(2) (1)
=(14+t)/(3)

A Train crosses a bridge 100 m in 45 sec at a speed of 60 km/h find a time taken by the train to cross a clock tower​

Answers

Ans is 351/8.

hope it is helpful

What is on the twentieth floor .it goes Down 11 floors and then up 5 floors what floor is the elevator now

Answers

Answer:

6th floor

Step-by-step explanation:

Which properties justify the steps taken to solve the system? {2a+7b=03a−5b=31 10a+35b=0; 21a−35b=217 ​31a = 217 a = 7 2(7)+7b=0 14 + 7b = 0 7b=−14 b=−2 what are each of the steps taken?

Answers

9514 1404 393

Explanation:

2a+7b=0 . . . . . . . . given [eq1]

3a−5b=31 . . . . . . . .given [eq2]

10a+35b=0 . . . . . . multiplication property of equality 5×[eq1] = [eq3]

21a−35b=217 ​. . . . .multiplication property of equality 7×[eq2] = [eq4]

31a = 217 . . . . . . . . addition/substitution properties of equality [eq3]+[eq4]

a = 7 . . . . . . . . . . . . division property of equality (÷31)

2(7)+7b=0 . . . . . . . .substitution property of equality; a=7 in [eq1]

14 + 7b = 0 . . . . . . . properties of real numbers

7b=−14 . . . . . . . . . . addition property of equality; add -14

b=−2 . . . . . . . . . . . . division property of equality (÷7)

The radius of a circle is 2 inches. What is the circle's area?
r=2 in
Use 3.14 for a
square inches

Answers

Answer:

12.56 in.

Step-by-step explanation:

A=Pi*R to the 2nd power

A=3.14*2 to the 2nd power

A=3.14*4

A=12.56

Let me know if im wrong

Area of the circle is 12.56 square units which has radius 2 inches.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that radius of a circle is 2 inches.

We need to find the area of circle.

Radius= 2 inches.

π=3.14

We know that area of circle=πr²

Area of circle=3.142×2²

=3.142×4

=12.56 square inches.

Hence, area of the circle is 12.56 square units which has radius 2 inches.

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Club A has fee of $21 plus $23 monthly Club B has fee of $12 plus $26 monthly When will they be the same and what is it?

Answers

Answer:

hmmmmmmmm

Step-by-step explanation:

The club would be the same on the 3rd month, with the same money fee of $90

The team won 18 of its 30 games. What was the team’s won-lost ratio?

Answers

Answer:

18:12 (accurate)

3:2 (simplified)

Step-by-step explanation:

The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:

30 - 18 = 12

The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:

won:lost ⇒ 18:12

18:12 is the ratio.

If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:

(18)/6 : (12)/6

3:2

3:2 is your simplified ratio.

~

Which of these relations is a function?
X
y
9
10
-18
2
2
4
-12
2
20
3
y
17
19
-2
20
6
-10
X
1
-10
y
18
17
12
14
1
16
х
15
8
y
-8
5
17
0
-13
15

Answers

Answer:

I think the answer is 2 4

Step-by-step explanation:

Table {1} and table {2} represent the relations that are functions.

What is function? What is modulus function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

We can define the modulus function as -

|x| = - x     {x < 0}

|x| = x       {x > 0}

Given is to identify which of the relations are functions.

For a relation to be a function, it should have unique value of {y} for a unique value of {x}. One value of {x} cannot have more than one values at the same time. We can see in the image attached that only table 1 and 2 represent such relations. So, we can conclude that relation {1} and {2} represent the functions.

Therefore, table {1} and table {2} represent the relations that are functions.

To solve more questions on functions, visit the link below-

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Which functions readily show the y-intercept of their graphs?

Answers

Answer:

to find your y intercept use y= mx + c

properties of a cube​

Answers

Answer:

Step-by-step explanation:

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

How many constants are in the following expression?
7x + 4y - 5 + 4x Help

Answers

Answer:

1

Step-by-step explanation:

-5 is a constant because its a number on its own without a variable

Answer:

There is only 1 constant

Step-by-step explanation:

the constant is -5 because it's alone without any variables

I don't remember how to do this

Answers

Answer:

b i think?

Step-by-step explanation:

HELP!!
A.x=6
B.x=24
C.x=12
D.x=12 sqr root 3
E.x=36

Answers

The answer is 24 : 12 x 1 / cos60 = 24

Help me with this plz

Answers

Answer: 42

Step-by-step explanation:

Complete the statement. Round to the nearest hundredth if necessary.

9.2 in. ≈
cm

Answers

9514 1404 393

Answer:

  23.37 cm

Step-by-step explanation:

1 inch is 2.54 cm, so 9.2 inches is ...

  (9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm

Alfredo is ordering a taxi from an online taxi service. The taxi charges $3.50 just for
the pickup and then an additional $0.75 per mile driven. How much would a taxi ride
cost if Alfredo is riding for 5 miles? How much would a taxi ride cost that is m miles
long?

Answers

3.50 + 0.75(m) = total cost

3.50 + 0.75•5
= 3.50 + 3.75 = $7.25 for 5 miles

And the formula for the bottom part is
3.5 + 0.75m


3 x (5 + 7)
What two words can describe (5 + 7) in the expression above?
O A. quotient and factor
OB.
difference and factor
OC. sum and factor
OD. sum and quotient

Answers

C. A sum and a factor. The sum would be because of the plus sign and it’s in factored form.

The expression contain sum and factor.

The correct option is (C).

What is Expression?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Given:

3 x(5+7)

In the Above Expression we have two operation Multiplication and Addition.

Also, the Multiplication is also termed as factor.

Hence, the expression contain sum and factor.

Learn more about Expression here:

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car covers x plus 2 kilometre in 1 litre how much distance it will covers in Y litres​

Answers

Answer:

y km = (x+2)y km

Step-by-step explanation:

Given that,

A car covers (x+2) kilometre in 1 litre.

We need to find the distance it will cover in y litres.

1 litre = (x+2) km

y km = (x+2)y km

Hence, it will cover (x+2)y km in y litres.

What are the 2 roots of the equation 2x^2-5x-3=0

Answers

Answer:

Hence, 3/2 and 1 are the roots of the equation.

99 times 44 take 99 add 19 what does it equal

Answers

Answer:

The answer is 4,276

I hope it helps

the answer is 4,276.

HELP ANSWER FAST!!!!

Answers

Answer:D=5,6,7,8 R=5,6,7,8  fuction= yes

Step-by-step explanation:

D = domain which is your X values and R is your range which is your Y values and sense each number of your X values goes to one of the Y values it is a fuction

D = 5,6,7,8
R = 5,6,7,8
Function? Yes

220 divided by 393,718? Math

Answers

0.000558775570332 I believe so
I think it’s 0.000558775570332

Two sides of a triangle measure
8 centimeters and 13 centimeters. Which
of the following could not be the length of
the third side?
A 4 cm
C 14 cm
B 8 cm
D 18 cm

Answers

Answer:

A.

Step-by-step explanation:

4 + 8 = 12 which is < 13.

Answer:

4+8 is 12

Step-by-step explanation:

12 is less than 13 which cannot make this a triangle

Rodrigo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most three packs. Suppose that each pack has a 10 % 10%10, percent chance of containing the card Rodrigo is hoping for. The table below displays the probability distribution of X XX, the number of packs of cards Rodrigo buys. X = # of packs X=# of packsX, equals, \#, start text, space, o, f, space, p, a, c, k, s, end text 1 11 2 22 3 33 P ( X ) P(X)P, left parenthesis, X, right parenthesis 0.10 0.100, point, 10 0.09 0.090, point, 09 0.81 0.810, point, 81 Calculate the mean of X XX.

Answers

Answer: 2.71 packs

Step-by-step explanation:

Marsha went shopping at Best Buy and spent $75.25. If the sales tax was 8.75%, how much was her total bill?

Answers

Answer:

The answer is 81.834375

Step-by-step explanation:

Hope this helps

Answer:

$81.83

Step-by-step explanation:

Amount spent: £75.25

Sales tax: 8.75%

1% of 75.25 = 0.7525

0.7525 x 8.75 = 6.584375

75.25 + 6.584375 = 81.834375

As this question involves money it needs to be rounded to 2 decimal places:

$81.83

workout the value of (2^3)^2

Answers

Answer:

64

Step-by-step explanation:

(2^3)^2 = (8)^2 = 64

your answer would be 64

Please help ASAP! giving 100 points Use a decimal number to describe the shaded amount.



0.2
0.5
0.05
0.15

Answers

Answer:

B. 0.5

Step-by-step explanation:

There are 10 circles in total. 5 are shaded in.

We would make that a fraction.

5/10

Then we would convert it to a percent

50%

Then we will convert it to a decimal

0.5

Therefore, your answer would be B. 0.5

What is the center of the circle shown below?
ma
A. SI
B. MN
C. N. D. 2

Answers

C i did it and I got it right

The requreid, in the given diagram, we can see a circle, and it is indicated that the center of the circle is L.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
In the given diagram, we can see a circle, and it is indicated that the center of the circle is L. The center of a circle is a point that is equidistant from all points on the circumference of the circle. This means that if we draw a line segment from the center to any point on the circumference of the circle, the length of that line segment will be the same as the length of the line segment from the center to any other point on the circumference.

Thus, the requreid, in the given diagram, we can see a circle, and it is indicated that the center of the circle is L.

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what is the ratio then what is the value of the ration?

Answers

Answer:

For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

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