Answer:
1:25
Step-by-step explanation:
There are 2 out of 10 yellow marbles.
2/10 simplified is 1/5
Sorry had to edit its multiplied by each other so its actually 1:25
8 ≥ y + 3 is the answer to problem 7. Also, in problem 5, I couldn't help but notice that the sign should face the other way but still include the equal to sign underneath it, because it should be 4 at MOST, meaning that 4 must be greater than or equal to y + 7.
Vcylinder-Vsphere=water
Vcylinder=hpir^2
Vsphere=(4/3)pir^3
given
cylinderradius=30 and h=100
Vcylinder=100pi30^2=100pi900=90000pi
let's leave it in terms of pi for more exactness
sphereradius=12
Vsphere=(4/3)pi12^3=2304pi
cylinder-sphere=90000pi-2304pi=87696pi
using pi=3.14
water=275365.44 cubic cm
last option is corrrect
Answer:
The answer is 
.
Step-by-step explanation:
This is because when you multiply them together you get
, 
, 
, and 
When you add the like terms you get,
Answer:
Side length = 5.8 in
Perimeter = 29
Area = 58 in²
Step-by-step explanation:
✔️Find Side length using trigonometric ratio:
Angle at center of a pentagon is always 36° (we have measure of a full circle, 360, divided by 10 smaller triangles = 36°)
So:
Reference angle = 36°
Adjacent side = 4 in.
Opp = ½ of the side length of the polygon = x (let's represent this as x)
Thus, apply TOA:
Tan 36 = Opp/Adj
Tan 36 = x/4
4*Tan 36 = x
x ≈ 2.9 in (nearest tenth)
Side length = 2*x = 2*2.9 = 5.8 in
✔️Perimeter = 5*side length
Perimeter = 5*5.8 = 29 in
✔️Area = ½aP
Where,
a = 4 in
P = 29
Plug in the values
A = ½*4*29
A = 58 in²
