3 years ago

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Mathematics

1 answer:

gregori [183]3 years ago

7 0

The answers are B,C, and F because you have to set up proportions.

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What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?

Nat2105 [25]

Hello :
f(-4) = 4(-4)+9 = -7
f(-2) = 4(-2)+9 = 1
f(0) = 4(0)+9 = 9
f(2) = 4(2)+9 = 17
the range of the function f(x) = 4x + 9 is : <span>D' = {-7, 1, 9, 17}</span>

8 0

3 years ago

The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

$A=28.1255057^{\circ}$

$A\approx 28^{\circ}$

Therefore, the measure of angle A is approximately 28 degrees.

3 0

3 years ago

How do I find 2/3 of 12 slices of pizza eaten

MariettaO [177]

Multiply 12 slices by 2/3:

12 x 2/3 = (12 x 2) /3 = 24/3 = 8

The answer is 8

7 0

3 years ago

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Estimate the diameter of a wheel that makes 9 revolutions and travels 50 feet.Use 22/7 for π

salantis [7]

<span> 1.7676 Feet is the diameter</span>

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3 years ago

Find the perimeter of this problem

GrogVix [38]

Answer: 119 4/7

Step-by-step explanation:

Add all the sides together.

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3 years ago