Answer:
576 cm^3
Step-by-step explanation:
Express this volume formula as V = π r^2 h, where the " ^ " symbol indicates exponentiation. Substitute 4 for r (this is half the diameter), 12 cm for h, and 3 for π: V = 3*(4)^2*12 cm^3, or V = 576 cm^3.
Answer:
perimeter is 4 sqrt(29) + 4pi cm
area is 40 + 8pi cm^2
Step-by-step explanation:
We have a semicircle and a triangle
First the semicircle with diameter 8
A = 1/2 pi r^2 for a semicircle
r = d/2 = 8/2 =4
A = 1/2 pi ( 4)^2
=1/2 pi *16
= 8pi
Now the triangle with base 8 and height 10
A = 1/2 bh
=1/2 8*10
= 40
Add the areas together
A = 40 + 8pi cm^2
Now the perimeter
We have 1/2 of the circumference
1/2 C =1/2 pi *d
= 1/2 pi 8
= 4pi
Now we need to find the length of the hypotenuse of the right triangles
using the pythagorean theorem
a^2+b^2 = c^2
The base is 4 ( 1/2 of the diameter) and the height is 10
4^2 + 10 ^2 = c^2
16 + 100 = c^2
116 = c^2
sqrt(116) = c
2 sqrt(29) = c
Each hypotenuse is the same so we have
hypotenuse + hypotenuse + 1/2 circumference
2 sqrt(29) + 2 sqrt(29) + 4 pi
4 sqrt(29) + 4pi cm
Answer:
tan 33° = 25/x
Step-by-step explanation:
hope it helps
When we have two arcs in a circle, one larger and one smaller, one will be called the minor arc and the other the minor arc.
The name of the arc depends on its size, for example, given the following green and yellow arcs, the green, which is smaller, will be the minor arc:
Therefore, the larger arc is always called Major arc, not minor arc.
The statement is False.
Answer: False
Answer:
x = 18.5
Step-by-step explanation:
Given
+ 
= 10
Multiply through by 4 to clear the fractions
2x + 3 = 40 ( subtract 3 from both sides )
2x = 37 ( divide both sides by 2 )
x = 
= 18.5
