Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

Instructions: Find The Value Of The Trigonometric Ratio. Make Sure To Simplify The Fraction If Needed.

Answers

Answer 1

Answer:  [tex]\sin C = \frac{3}{5}[/tex]

============================================

Work Shown:

[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(C) = \frac{\text{AB}}{\text{AC}}\\\\\sin(C) = \frac{24}{40}\\\\\sin(C) = \frac{8*3}{8*5}\\\\\sin(C) = \frac{3}{5}\\\\[/tex]


Related Questions

Answer Please : )
Why negative ( - ) sign is cannot be pulled out of square root.???​

Answers

To show the negative of a square root, a negative sign would have to be placed outside the radical.

Answer:

Step-by-step explanation:

Because √-1 is an imaginary number √-1=i

They are imaginary because there are no same real numbers multiplyed that gives you a negative number

√4 = √2*2 ( +2*+2 =+4)

√4 = √-2*-2 (-2*-2 =+4)

√-1 = √? *? ( what same numbers multiplied gives you negative?...an imaginary one)

A piece of paper is 0.01 centimeters thick When you fold it once it becomes 0.02 cm thick. If you fold it again it doubles again to 0.04 cm thick each fold doubles thickness of the paper. how thick is the paper?

Answers

Answer:

Step-by-step explanation:

If each fold doubles every time you fold it and its already fold to 0.04 cm it would be doubled if you fold it again so it would be 0.08 cm.

What is 2 and 1/4 divided by 3/4?

Answers

Answer:3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2 1/4 divided by 3/4 =

9/4 * 4/3 =

36/12 =

3

A manufacturer of fuses claims that with 20% overload, the fuses will blow
in less than 10 minutes on the average. To test this claim, a random sample of 20 of
these fuses was subjected to a 20% overload, and the times it took them to blow had
the mean of 10.4 minutes and a sample standard deviation of 1.6 minutes. It can be
assumed that the data constitute a random sample from a normal population. Do they
tend to support or refute the manufacturer’s claim?

Answers

Using the t-distribution, it is found that since the p-value of the test is greater than the standard significance level of 0.05, the data refutes the manufacturer's claim.

What are the hypothesis tested?

At the null hypothesis, we test if there is not enough evidence that the mean is less than 10 minutes, that is:

[tex]H_0: \mu \geq 10[/tex]

At the alternative hypothesis, we test is there is enough evidence that the mean is less than 10 minutes, that is:

[tex]H_1: \mu > 10[/tex]

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The values of the parameters are given as follows:

[tex]\overline{x} = 10.4, \mu = 10, s = 1.6, n = 20[/tex]

Hence the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{10.4 - 10}{\frac{1.6}{\sqrt{20}}}[/tex]

t = 1.12.

What is the p-value?

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than a value, with t = 1.12 and 20 - 1 = 19 df, the p-value is of 0.8617.

Since the p-value of the test is greater than the standard significance level of 0.05, the data refutes the manufacturer's claim.

More can be learned about the t-distribution at https://brainly.com/question/13873630

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Which is 6 less than -2?

Answers

-8 because it’s technically adding 6 plus 2

Answer:

-8

Step-by-step explanation:

-2-6=-8

-2, -3, -4, -5, -6, -7, -8

PLEASE HELP THX IT WOULD MEAN A LOT :(

Answers

Answer:

The prime factorization of 100 is 2 * 2 * 5 * 5.

Step-by-step explanation:

Answer:

100 = 2² × 5²

Step-by-step explanation:

100 = 2 × 2 × 5 × 5

      = 2² × 5²

Helps it’s due in 40 mins thanks for help

Answers

y=-2x+4 and y=-2x-5 (mark brainliest plss)

Use the Distribuitive Property to rewrite and find 4x(25+4)

Answers

Answer: 116

Step-by-step explanation:

116 , (4 * 25) + ( 4 * 4 )

4 x (25 + 4)

4 * 25

4 * 4

(4 * 25) + ( 4 * 4 ) = Distributive Property

4 * 25 = 100

4 * 4 = 16

100 + 16 = 116

Answer:

116

Step-by-step explanation:

4 × ( 25 + 4 )

= ( 4 × 25 ) + ( 4 × 4 )

= 100 + 16

= 116

pls mark branliest....

what is the answer? 2 1/3 + 3 1/3

Answers

Answer:

5 2/3

Step-by-step explanation:

You can get the answer by either creating an improper fraction for both fractions, or seperately add it up. 2+3=5 and 1/3 + 1/3 = 2/3

I will give brainliest!!!!!

Answers

Answer:

False

Step-by-step explanation:

This graph is not a function because it fails the vertical line test where you draw a vertical line through the graph and if the vertical line touches the graph more than once it fails the vertical line test which means it is not a function.

Hope this helps!

Math Jakob only Jake answer.

Answers

Answer:

Jake is a college sophomore and a math and science prodigy. ... Morley Safer and producer Katy Textor did just that.

Step-by-step explanation:

Bruh.

what is the awnser to y=-1

Answers

Answer:

Slope: 0

y-intercept: (0,-1)

Step-by-step explanation:

I NEED HELP ON THIS PLEASE!!!!!!!

Answers

The answer is B 25$

Answer:

b

Step-by-step explanation:

PLS HELP QUICK!!!!

Select if each equation has ONE SOLUTION, INFINITE SOLUTIONS, NO SOLUTIONS

2(3x-7) = 6x-14
-5x+12 = -5(x-2)
4(x-2) = 3x+1

Answers

Answer:

2(3x-7) = 6x-14 has infinite solutions

-5x+12 = -5(x-2) has no solutions

4(x-2) = 3x+1 has one solution x = 9

Step-by-step explanation:

The graph of y= -3× + 4 is

Answers

Answer:

2-37

5-83234

23574

29016

HELP ME PLEASE!!! whoever can answer..​

Answers

Step-by-step explanation:

Hey there!

Please see explanation in picture.

Hope it helps......

PLZZZ HELP ITS FOR MY FINAL if 7a/8=14 then 12a=

Answers

A=16

So 12A would be (12*16)
So 12A= 192

8) Evaluate the algebraic expression for the value given: 4- 2x; when x =6 2 points
12
16
-8
8

Answers

4-2(6) I believe that the solution to this problem is C) -8. I hope this helps!!!!

−56a−64=?
Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.

Answers

Factor -8 out of the equation to get -8(7a+8).

Can anyone find the value of the variables!

Answers

Answer:

5) x:-7.5

6) y:7.8

7) a:-11

8) y:1

Step-by-step explanation:

help me with my homrwork​

Answers

Answer:

divide 19400000 and 51000

answer will be 380.39

A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure?

number of seats
type of transmission
presence of a sunroof
fuel efficiency (in mpg)

Answers

An example of a continuous quantitative variable that might be included in the brochure is; A: number of seats

What is the continuous quantitative variable?

Quantitative continuous variables are defined as the variables whereby their values are uncountable while also having a number of possibilities that are infinite.

A discrete quantitative variable is a variable that can be counted. This means that they are written in units whereby numbers will be counted and can be assigned.

From the question, the number of seats that are inside the car are countable. Thus, it can be evaluated based on its numerical value, instead of quality. In short, we can even say that the buyers were of the opinion that the more the number of seats that were in the car, the more the number of people the car was able to carry. Thus, we can conclude that the family would love to buy a car that has a reasonable number of seats.

Thus, we can conclude that the type of the transmission is a qualitative variable.

Read more about continuous quantitative variable at; https://brainly.com/question/15013434

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The area A of a rectangle with dimensions 4x and 5 is described with the inequality 100 ≤ A ≤ 1,000 Select the compound inequality for the area written in terms of x. A 100 ≤ 10+8x ≤ 1,000 B. 100 ≤18x ≤ 1,000 C. 100 ≤ 9x ≤ 1.000 D. 100 ≤20x ≤ 1.000 The solution to the compound inequality is _____ ≤x≤ ________ Are all of your solutions viable? ________

Someone help me on this question, please. I don't understand!!​

Answers

The compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000, the solution is 5 ≤ x ≤ 50 and all the solutions are viable

How to select the compound inequality for the area written in terms of x?

The given parameters are

Dimensions = 4x and 5

Area: 100 ≤ A ≤ 1,000

The area is calculated as

A = Product of dimensions

So, we have

A = 4x * 5

Evaluate

A =20x

Substitute A =20x in 100 ≤ A ≤ 1,000

100 ≤ 20x ≤ 1,000

So, the compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000

Divide through 100 ≤ 20x ≤ 1,000 by 20

5 ≤ x ≤ 50

Hence, the solution is 5 ≤ x ≤ 50 and all the solutions are viable

Read more about compound inequality at

https://brainly.com/question/1485854

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What is: 3➗3/4?

Plz Help.

Answers

Answer:

4

Step-by-step explanation:

3/3/4

3 * 4/3

4

Hope this helps plz hit the crown :D

Answer:

4

Step-by-step explanation:

3=3/1 (3 as a fraction)

3/1 ÷ 3/4

=3/1 *4/3 --> flip second fraction and turn divide sign to a multiplication sign.

3/1*4/3=12/3

12/3=4/1=4

I need to know what transformation the function did .

Help please !

Answers

Answer:

i would pick a or d sorry i cant help Step-by-step explanation:

HELP ASAP ILL GIVE BRAINLIST

Answers

Answer:

Part A)  ΔCGB and ΔPBE are similiar

Part B) They are similar because they are Vertical Angles/Alternate Interior Angles

Part C) Distance from B to E is 125; Distance from P to E is 275.

Step-by-step explanation:

Find the derivative of the function. f(x) = (8x − 5)−1 f '(x)

Answers

Answer:

x=4

Step-by-step explanation:

What are the slope and the y-intercept of the linear function that is represented by the equation Y--103-12

The slope is -10, and the y-intercept is -1.

The slope is -10. and the y-intercept is 1

The slope is -1, and the y-intercept is -10.

The slope is 1, and the y-intercept is -10.

Save and Exit

Answers

Answer:

The slope is -10, and the y-intercept is -1.

Step-by-step explanation:

The linear function is [tex]y=-10x-1[/tex].

The general form of a line is [tex]y=mx+c[/tex]

where

m = Slope of the line i.e., change of altitude divided by the change of the horizontal.

c = y intercept of the line i.e., the point where the line intersects the y axis.

Comparing with the given equation we get

[tex]m=-10[/tex] and [tex]c=-1[/tex]

So, the slope is [tex]-10[/tex], and the y-intercept is [tex]-1[/tex].

Which description best describes the graph?


a. Linear increasing

b. Linear decreasing

c. Nonlinear increasing

d. Nonlinear decreasing

Answers

Nonlinear decreasing you welcome

find the perimeter of J(-4,2), K(1,2), L(2,-2) and M(-3,-2)

Answers

Answer:

Perimeter = 31.12

Step-by-step explanation:

The perimeter of the shape JKLM will be expressed as;

Perimeter = JK + JL + JM + KL + KM + LM

Using the formula for calculating the distance between two points;

D = √(x2-x1)²+(y2-y1)²

For JK where  J(-4,2) and K(1,2)

JK = √(1+4)²+(2-2)²

JK = √5²

JK =√25

JK = 5

For JK where  J(-4,2) and L(2,-2)

JL = √(2+4)²+(-2-2)²

JL = √6²+(-4)²

JL =√36+16

JL = √52

For JM where  J(-4,2) and M(-3,-2)

JM = √(-3+4)²+(-2-2)²

JM = √1²+(-4)²

JM =√1+16

JM = √17

For KL where  K(1,2), L(2,-2)

KL = √(2-1)²+(-2-2)²

KL = √1²+(-4)²

KL =√1+16

KL = √17

For KL where  K(1,2), M(-3,-2)

KM = √(-3-1)²+(-2-2)²

KM = √4²+(-4)²

KM = √16+16

KM = √32

KM = 4√2

For KL where  L(2,-2) and M(-3,-2)

LM = √(-3-2)²+(-2+2)²

LM = √(-5)²+(0)²

LM = √25

LM = 5

Perimeter = 5 + 4√2 + √17  + √17 + 5 + √52

Perimeter = 10 + 4√2 + 2√17 + √52

Perimeter = 10+5.66+8.25+7.21

Perimeter = 31.12

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