Answer:
m∠B = 31°
Step-by-step explanation:
First, find the measure of angle ACB by subtracting its supplement from 180 degrees:
180 - 113 = 77
m∠ACB = 77°
Then subtract both m∠A and m∠ACB from 180 degrees, since the interior angles of a triangle always add to 180°:
m∠B = 180° - 72° - 77°
m∠B = 31°
Answer:
<h2>radius = 1.47 cm</h2>
Step-by-step explanation:
Area of a circle = πr²
where
r is the radius
From the question
Area = 6.76 cm²
To find the radius substitute the value of the area into the above formula and solve for the radius
That's

Divide both sides by π
We have

r = 1.46689291
We have the final answer as
radius = 1.47 cm
Hope this helps you
Answer:
I'm pretty sure the answer to the third question is C
Step-by-step explanation:
We are solving for h(g(x)).
We already know that g(x) is equal to x^2+4.
So know, we can simplify our expression, h(g(x)), to h(x^2+4).
We also know that h(x)=1/x
we simply substitute x for x^2+4, giving us an answer of 1/(x^2+4)
To find the correct answer, you have to simplify the equation.
Multiply -1/2 by everything in the parenthesis.
3/4x - 3x - 1/2 - 3x. Combine like terms.
-21/4x - 1/2. Turn -21/4x into a mixed number.
-5 1/4x - 1/2.
Your answer is D