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almond37 [142]
3 years ago
14

In ΔWXY, the measure of ∠Y=90°, XW = 85, WY = 84, and YX = 13. What is the value of the cosine of ∠W to the nearest hundredth?

Mathematics
1 answer:
IgorLugansk [536]3 years ago
4 0

Answer: 0.99

Step-by-step explanation:

SOH CAH TOA

CAH: cosine = adjacent/hypotenuse

Cosine of angle w = 84/85 = 0.98823 ≈ 0.99

Angle Y is 90 degrees, meaning it's a right triangle. Therefore angle W is the top/tip of a triangle, while X is the angle next to Y. If you plug in the information afterwards and follow the trigonometry rule (SOH CAH TOA) you will find your answer.

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The table below represents a linear function f(x) and the equation represents a function g(x):
Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}

g(x) = 3x - 2

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}

This gives:

m = \frac{f(0) - f(1)}{0 - 1}

m = \frac{f(0) - f(1)}{- 1}

Substitute values for f(0) and f(1)

m = \frac{-1 - 7}{- 1}

m = \frac{-8}{- 1}

m = 8

The slope of g(x) can be gotten using the following comparison

g(x) = mx + b

m \to slope

So:

g(x) = 3x -2

m = 3

m_{f(x)} > m_{g(x)}

Solving (b): Compare the y intercept

y intercept is when x = 0

From the table of f(x)

f(0) = -1

From the equation of g(x)

g(x) = 3x -2

g(0) = 3*0-2

g(0) =-2

<em></em>f(0) > g(0)<em></em>

6 0
2 years ago
DUE BY 11:59 PM!!<br><br>HELP GREATLY APPRECIATED!!​
aksik [14]

Answer:

Step-by-step explanation:

1. There are only 4 numbers including 5 that follow the "five or more" requirment, and the probability of spinning it once is 4/8, or 1/2. (The total sections is 8) Then we multiply 1/2 and 1/2 together to get the "two times in a row" requirement done. (1/2)*(1/2)= 1/4 is the probability.

2. There are two values on the spinner that are a multiple of 3, 3 itself and 6. Again, the total amount of numbers/sections is 8, so the probability of spinning a multiple of three is 2/8 or 1/4. The probability of spinning an odd number is 4/8 or 1/2. (1/2)*(1/4)=1/8 is the probability.

3. The probability of spinning one odd number is 1/2, and so we multiply 1/2 by itself four times. (1/2)*(1/2)*(1/2)*(1/2)=1/16 is the probability.

4. There are 6 numbers greater than two on the number wheel not including two itself. So the probability of that is 6/8, or 3/4. Then we multiply 3/4 by itself 3 times as it asks. (3/4)*(3/4)*(3/4)*(3/4)=81/256 is the probability.

Note that I am not really sure about the answer myself, but I hope that this can help in some way. Good luck! :)

5 0
2 years ago
Give me the BRAINLIEST ANSWER
oksian1 [2.3K]
Yes there right the answer is three
5 0
2 years ago
Express ( x + 4 )∧2 as a trinomial in standard form.
mamaluj [8]

Answer: x²+8x+16

Step-by-step explanation:

(x+4)^2=(x+4)(x+4)

Now use distributive property to expand (x+4)(x+4):

(x+4)(x+4)=x²+4x+4x+4(4)

x²+4x+4x+4(4)=x²+8x+16

8 0
3 years ago
Read 2 more answers
Diana is painting statues. She has 7/8 of a liter of paint remaining Each statue requires 1/16 of a liter of paint. How many sta
nordsb [41]
She can paint 14 statues.

To find this answer, we just need to divide the amount of paint left by the amount of paint per statue.

7/8 divided by 1/16 is 14. To divide fractions remember it is easier to multiply by the reciprocal.
4 0
3 years ago
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