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3 years ago

Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Mathematics

1 answer:

Alisiya [41]3 years ago

5 0

Answer:

x ≈ 9.5 , y ≈ 15.3

Step-by-step explanation:

sin32° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{18}$ ( multiply both sides by 18 )

18 × sin32° = x , then

x ≈ 9.5 ( to the nearest tenth )

cos32° = $\frac{adjacent}{hypotenuse}$ = $\frac{y}{18}$ ( multiply both sides by 18 )

18 × cos32° = y , then

y ≈ 15.3 ( to the nearest tenth )

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WILL GIVE BRAINEST <br>if f(x)=2x-5 and g(x)=x2.....

Ymorist [56]

Note that the notation $(f+g)(x)$ is just another way of writing $f(x)+g(x)$ . Here, we're simply taking the expression for f(x) and adding the expression for g(x) to it. Together, we have:

$f(x)=2x-5\\g(x)=x^2-4x-8$

Which means that

$(f+g)(x)=f(x)+g(x)=(2x-5)+(x^2-4x-8)$

And from there, it's just a matter of combining like terms to simplify.

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3 years ago

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nika2105 [10]

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3 years ago

The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled. Find the

ella [17]

Answer:

Mean = 3.9

Step-by-step explanation:

Given

The above table

Required

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The mean is calculated as thus:

Mean = Summation of x * P(x)

So, we have:

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8 0

3 years ago

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Serhud [2]

Answer:

x=6

Step-by-step explanation:

Kindly look at the image provided below.

The image shows the relationship between intersecting secants and their corresponding arcs which is important to understand when looking at problems like these.

The relationship states that an angle formed by two intersecting secants is equal to half the sum of its corresponding arc and its vertical angles corresponding arc.

So ∠FHG = 1/2 ( arc FG + arc EB )

* substitute the given expressions for each angle and arc *

we would then have

15x - 2 = 1/2 ( -2 + 12x + 16x + 10 )

We now solve for x

Step 1 multiply each side by 2

1/2 ( -2 + 12x + 16x + 10 ) *2 = ( the 2 and 1/2 cancels out ) -2 + 12x + 16x + 10

(15x - 2 )2 = 30x - 4

we now have -2 + 12x + 16x + 10 = 30x - 4

step 2 combine like terms

-2 + 10 = 8

12x + 16x = 28x

now we have 30x - 4 = 28x + 8

step 3 add 4 to each side

-4 + 4 cancels out

8 + 4 = 12

Now we have 30x = 28x + 12

step 4 subtract 28x from each side

30x - 28x = 2x

28x - 28x cancels out

now we have 2x = 12

step 5 divide each side by 2

2x / 2 = x

12 / 2 = 6

we're left with x = 6

4 0

3 years ago

Can someone help me with this please???

djyliett [7]

Answer:

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Step-by-step explanation:

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3 years ago