find the value of each trigonometric ratio. Part 1​

Find The Value Of Each Trigonometric Ratio. Part 1

Answers

Answer 1

Answer:  [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]


Related Questions

Please help there’s a picture to explain more
110
70
X=?

Answers

Answer:

Step-by-step explanation:

110 = 70 + X [ extarior angle property]

or, 110 - 70 = X

or , 40 = X

HOPE IT HELPS ...

MARK ME AS BRAINLIEST IF IT DOES SO

There are 40 nickels in a roll. If you have 250 rolls of nickels, how many nickels do you have?pls help me

Answers

Answer:

10,000 nickles

Step-by-step explanation:

Since there are 40 nickles in a roll and you have 250, think that you have 250 sets of 40. This means that this question is a multiplication problem.

Multiply 40 x 250. This would give you 10,000.

Don't forget units.

The number of nickels in 250 rolls is 10000

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, There are 40 nickels in a roll. If I have 250 rolls of nickels, then the number of nickels in total is = 250×40

                                                     = 10000

Hence, The number of nickels in 250 rolls is 10000

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ2

Y’ALL MIND TO HELP ME I HATE SCHOOL SO MUCH THAT IT MAKES ME WANT TO STAB MYSELF WITH A FORK BECAUSE I DONT UNDERSTAND ANYTHING IN THIS. anyway can y’all help me wit this ? I would appreciate it

Answers

Answer: Are you in summer school pfft

Step-by-step explanation: I won’t help you cheat

Which of the equations below represents a line parallel to the y-axis? A. x = -y B. x = y C. x = 4y D. x = 4

Answers

Answer:

D

Step-by-step explanation:

A line parallel to the y- axis is a vertical line with equation

x = c

where c is the value of the x- coordinates the line passes through, thus

x = 4 is the equation of a line parallel to the y- axis → D

Use the quadratic formula to find the solution to the quadratic equation below pt2

Answers

Answer:

x=3/2

Step-by-step explanation:

There is only one solution.

Answer: x=3/2

Step-by-step explanation:

Simplify: x(x-2)-3x(2x-1)

Answers

Answer:

-5x^2 +x

Step-by-step explanation:

x(x-2)-3x(2x-1)

Distribute

x^2 -2x -6x^2 +3x

Combine like terms

-5x^2 +x

Answer:

x^2-2x-6x^2+3x

x^2+x-6x^2

-5x^2+x

Please help me with math

Answers

Answer:

SA: 456

V: 408

Step-by-step explanation:

To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!

If this trapezoid is moved through the translation (x+3,y-2), what will be the coordinates of be?

Answers

Answer:

C'(1, 2 )

Step-by-step explanation:

The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )

On Monday the temperature at 10 p.m at sams house was -6 Fahrenheit the temperature at 2 p.p at sams house was 2 Fahrenheit which statement about the change in temperature from 10 a.m to 2 p.m at sams house is true?

Answers

Answer:

rose 8

Step-by-step explanation:

-6fahrenheit plus 8 = 2 it took four hours to rise 8 i think

Are the ratios 5:15 and 1:3 equivalent

Answers

Answer:

Yes, both are one third of the other number

Step-by-step explanation:

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

// have a great day //

Yes, both of them are equivalent.

Simplify the following exponential expression.
14405c4
- 166c-14

Answers

ANSWER!
14405c•4-166c-14
57620c-166c-14
57454c-14
I hope this helps!

Create a problem using the Pythagorean theorem. Then, solve the problem you’ve created showing all steps.

Answers

Answer:

Draw a right triangle and name it ABC- C is your right angle. A is the angle above C and B is the angle on the side of C. AC=12 and CB=5, you have to find AB using the Pythagorean Theorem.

Step-by-step explanation:

Using the Pythagorean Theorem you say:

AB²=AC²+CB²

AB²=12²+5²

AB²=144+25

AB²=169

AB=√169

AB= 13

which expression is equivalent to 4(5x+3y)?
Just number 4

Answers

Answer:

Answer choice 4

Step-by-step explanation:

4(5x+3y)

By distributive property, this can be rewritten as:

4(5x)+4(3y)=

20x+12y

or answer choice 4. Hope this helps!

Answer:

4) 20x+12y

Step-by-step explanation:

You have to use distivtive property

I hope this helps

Henry decides to start an investment savings account. He initially deposits $500 dollars to the bank. Every year, Henry's bank account increases by 15%. Assume x represents the number of years and y is the amount of money in the bank. Which function models this situation below?

Answers

Answer:

[tex]y= 500(1+0.15)^x[/tex]

Step-by-step explanation:

This problem can be solved using concept of compound interest

In compound interest

if p is the principal amount

and r is the interest rate

then value of principal amount(A) after n years time is given by

A = p(1+r)^n

=>[tex]A = p(1+r)^n[/tex]

__________________________________

in the problem

in place of n we have x years

y is the amount which is the total amount after n years

p is the principal money deposited = $500

r = 15%

substituting these value in the formula for amount after n years we have

[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]

Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]

Suppose that a storm front is traveling at 33 mph. When the storm is 13 miles away a storm chasing van starts pursuing an average speed of 54 mph. How long does it take for the van to catch up with the storm? How far have they driven? (Hint: we can let our two variables be x= distance and t= time. Additionally, [speed x time= distance]. Won't the van catch up when the distances are equal?

Answers

Answer:

It takes 0.619 hours (approximately 37 minutes) for the van to catch up with the storm.

They have driven 33.43 miles

They will catch up when their distances are equal.

Step-by-step explanation:

The speed of the van is 54 mph, and the speed of the storm is 33 mph. They are going in the same direction, so the relative speed is the difference of their speeds:

relative speed = 54 - 33 = 21 mph

Now, to find the time when the van reaches the storm, we just need to use the equation:

distance = speed * time

13 = 21 * t

t = 13 / 21 = 0.619 hours

The distance traveled by the van is:

distance = 54 * 0.619 = 33.43 miles

The van will catch up when the distances are equal (the distance of the storm is 13 + 33*0.619 = 33.43 miles)

$49 per month for unlimited calling plus 5 cents for each text message. Is this proportional or non proportional?

Answers

Answer: proptional

Step-by-step explanation:

Define: slant height

Answers

Answer:

The slant height which is the distance from the top, down the side, to a point on the base circumference.

Step-by-step explanation:

What must be added each term to a ratio2:3 so that it may became 4:7

Answers

Step-by-step explanation:

HOPE THE ANSWER IS CORRECT AND USEFUL

The width of a rectangle is 8 cm less than the length of the rectangle.
The perimeter of the rectangle is 54 cm.
Find the area of the rectangle

Answers

Answer:

166.25 cm²

Step-by-step explanation:

W = L - 8

2W + 2L = 54

2(L - 8) + 2L = 54

2L - 16 + 2L = 54

4L - 16 = 54

4L = 70

L = 17.5, W = 9.5

A = 17.5 x 9.5 = 166.25 cm²

the sum of ages of Ali and Adam is 45 years. if Ali is 5 years younger than Adam what is their ages​

Answers

Answer:

Ali is 20

Adam is 25

Step-by-step explanation:

If you expand and simplify (2x+3)(x+4)

Answers

Answer:

The answer is 2x² + 11x + 12.

Step-by-step explanation:

You have apply Distributive Law,

[tex]a(m + n) = am + an[/tex]

So for this question :

[tex](2x + 3)(x + 4)[/tex]

[tex] = 2x(x) + 2x(4) + 3(x) + 3(4)[/tex]

[tex] = 2 {x}^{2} + 8x + 3x + 12[/tex]

[tex] = 2 {x}^{2} + 11x + 12[/tex]

[tex](2x + 3)(x + 4) \\ = 2x(x + 4) + 3(x + 4) \\ = 2x \times x + 2x \times 4 + 3 \times x + 3 \times 4 \\ = {2x}^{2} + 8x + 3x + 12 \\ = {2x}^{2} + 11x + 12 \\ hope \: it \: helps[/tex]

I’ll mark you brainliest help!!! Which function is increasing?

Answers

Answer:

the answer is D. have a nice day :)

Since 3 is the largest number out of all of them. D. is the correct answer. :))

How do I figure out how many combinations there are.

Answers

Answer:

multiplying and dividing

Step-by-step explanation:

200 is what percent of 100

Answers

Answer:

200%

Step-by-step explanation:

make a proportion

100/100% = 200/x%  cross multiply

100x =20000  divide by 100

x = 200

Answer:

200% I think?

Step-by-step explanation:

Which is the balanced equation for S3 + O2 – SO2?
O O O O
S8 + 016 — 8S02
Se + O₂ → S₂ + O2
Se + O₂ → S₂0₂
Sg + 802 – 8802

Answers

The answer is not in the option. This is the answer
S3 + 3O2 ——-> 3SO2

Explain why a sample of 30 dentists from a large city taken to estimate the median income of all residents of that large city is not representative

Answers

Answer: Because all individuals in the sample have the same job, so the sample is biased.

Step-by-step explanation:

Ignoring the fact that 30 is a small sample for a large city, we already know that all the people in the sample has the same profession.

Now, we can expect that two dentists win have around the same income, but not all the residents in the city are dentists

A lot of them work in fast food, others may be lawyers, others may be freelancers.

We have a lot of jobs where the income does not coincide with the average income of a dentist, so with the sample of 30 dentists we are not actually representing all the other possible jobs that there are in the city.

If we want a sample that represents the income of all the residents, we should have a random sample (so the sample is not biased, like in this case).

Josh mixed 2 cartons of orange juice, 3 bottles of soda waterland 6 cans of
cocktail fruits to make a fruit punch for the Christmas party. Each carton of
juice is 1 gallon and 3 quarts. Each soda water bottle contains quarts, The
cans of cocktail fruit are 2 pints each. How much (
measured in gallons) of
fruit punch did Josh made?​

Answers

Answer:

9.5 gallons

Step-by-step explanation:

Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of

cocktail fruits to make a fruit punch.

Each carton of juice is 1 gallon and 3 quarts.

Therefore, 2 cartons will be:

2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts

1 quart = 0.25 gallon

6 quarts = 6 * 0.25 = 1.5 gallons

Therefore, Josh poured 3.5 gallons of orange juice.

Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.

Therefore, the number of gallons that the soda water bottle contains is:

3 * 6 * 0.25 = 4.5 gallons

The  cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.

1 pint = 0.125 gallon

2 pints = 0.25 gallons

=> 6 cans of cocktail fruit is:

6 * 0.25 = 1.5 gallons

The amount of fruit punch that Josh made is the sum of all components:

3.5 + 4.5 + 1.5 = 9.5 gallons

Using the appropriate arithmetic operation, the total measure of the fruit punch in gallons is 9.5 Gallons

Recall :

1 quartz = 0.25 gallons 1 pint = 0.125 gallons

Orange juice :

2 cartons = 2(1.75) = 3.5 gallons

Soda water :

3 bottles = 3(6 × 0.25) = 4.5 gallons

Cocktail juice :

6 cans = 6(2 × 0.125) = 1.5 gallons

Total gallons in mixture :

(3.5 + 4.5 + 1.5) = 9.5 gallons

Learn more : https://brainly.com/question/25581049

ABC and AED are straight lines. BE and CD are parallel. AC = 12.3cm AB = 8.2cm BE = 3.8cm a) Work out length CD. AD = 9.15cm

Answers

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps

At a middle school, 30% of the students walk to school, 1/5 (20%) ride their bikes, 12.5 are dropped off by car, and the remaining students ride the bus to school.
Is there are 800 students who attend this school, how many students use each form of transportation?

Answers

Answer:

please give more clarification

Answer:

Walk: 240

Ride 160

Car 100

Rest 300

Step-by-step explanation:

Walk:

30%

.30 * 800 = 240

Ride

20%

.20 * 800 =160

Car

12.5%

.125 * 800 =100

Rest

100-30-20-12.5 =37.5

.375 * 800 = 300

A small cube is cut off from a larger cube as shown .What is the number of FACES and EDGES in the cut cube as shown?
plz answer fast need it urgently​

Answers

Answer:

All cubes, regardless of size, will have 6 faces and 12 edges.

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