Answer:
Here are the formulae you need. Just plug in the values you have and you will get your answers.
Area of a triangle: 1/2*base*height
Volume of a rectangular prism: length*width*height
Volume of a cylinder: pi*r^2*height
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
∠ AOC = 90° and
∠ AOB + ∠ BOC = ∠ AOC , that is
x + 8 + 2x = 90
3x + 8 = 90 ( subtract 8 from both sides )
3x = 82 ( divide both sides by 3 )
x = 
Then
∠ BOC = 2x = 2 ×
=
≈ 54.67° ( to 2 dec. places )
Answer: C
Step-by-step explanation:
It's probably the first one: "People responded to Earth Day with letters..."
Since it's more of a detail that supports a fact, it's not as important as the other three.
Answer:
<u>The correct answer is b = 6 √3 units</u>
Step-by-step explanation:
Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:
1 : √3 : 2, where 2 is the hypotenuse.
Upon saying that, we have that in our triangle:
Hypotenuse = 12 units
a = 6 units
b = 6 √3 units
<u>The correct answer is b = 6 √3 units</u>