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3 years ago

How do I solve this? 25 points

Mathematics

2 answers:

Bad White [126]3 years ago

6 0

Answer:

Step-by-step explanation:

Both bottom angles are equal

So x+x+48=180

Subtract 48 from both sides

So 2x=132

Divide both sides by 2

x=66

dimulka [17.4K]3 years ago

6 0

You can tell that this triangle is an isosceles triangle as both sides are the same length. In an isosceles triangle, the bottom two angles are always equal. The angles in a triangle always add to 180 degrees. You are given the fact that the top angle is 48 degrees. If you do 180 - 48, that will give you 132 degrees, which is the sum of the bottom two angles. If you divide that by 2, you will get 66 degrees, which is one of the angles.

Therefore, x = 66 degrees.

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kompoz [17]

Answer: See explanation

Step-by-step explanation:

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3 years ago

Find a function ω(x) such that the function f(x) = sin(ω(x)) has the roots at π, π2

atroni [7]

So, I came up with something like this. I didn't find the final equation algebraically, but simply "figured it out". And I'm not sure how much "correct" this solution is, but it seems to work.

$f(x)=\sin(\omega(x))\\\\f(\pi^n)=\sin(\omega(\pi^n))=0, n\in\mathbb{N}\\\\\\\sin x=0 \implies x=k\pi,k\in\mathbb{Z}\\\Downarrow\\\omega(\pi^n)=k\pi\\\\\boxed{\omega(x)=k\sqrt[\log_{\pi} x]{x},k\in\mathbb{Z}}$

8 0

3 years ago

Which of the following equations describes the line shown below? Check all<br> that apply.

Igoryamba

Answer:

Correct options are F and D.

Step-by-step explanation:

First, the slope. 5-(-5)/-4-1

This can be simplified to 10/-5, or -2.

Y intercept: (0, -3).

Slope intercept form: y=-2x-3

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7 0

3 years ago

A study of the annual population of gray squirrels in a Texas state park shows the population, S(t), can be represented by the f

Anastasy [175]

The growth rate of the given function is A) 1

Step-by-step explanation:

Step 1; To calculate the rate we need to see the difference between values at different periods of time. We need to calculate the population at different times.

For t = 1 years, S(t) = 273(1.073)t = 273 × 1.073 × 1 = 292.929,

For t = 2 years, S(t) = 273(1.073)t = 273 × 1.073 × 2 = 585.858,

For t = 2 years, S(t) = 273(1.073)t = 273 × 1.073 × 1 = 878.787.

Step 2; To calculate the growth rate, we divide the difference in the values of the present year and the past year by the value in the past year.

Growth rate between t = 1 and t = 2, Growth rate = S(t=2) - S(t=1) / S(t=1)

= 585.858 - 292.929 / 292.929 = 1.

Growth rate between t = 2 and t = 3, Growth rate = S(t=3) - S(t=2) / S(t=2)

= 878.787 - 585.858 / 585.858 = 1.

So the growth rate is A) 1.

4 0

3 years ago