Answer:
XZ = XY+ YZ
8.9=5.5+2c
2c= 8.9-5.5
2c=3.4
c=1.7
YZ = 2c=3.4
Step-by-step explanation:
Volume of a sphere is all of the volume enclosed within the sphere.
4/3(pi)r^3
Answer:
What are the options?
Step-by-step explanation:
Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
Answer:
True
(1) You can prove two triangles are similar using AA similarity.
(2)If side length of similar figure have ration 
then the ratio of surface areas will be:
(3)If side length of similar figure have ratio of 
then perimeter will have ratio:.
False:
(1)If side length of similar figure have ration then the ratio of Volumes will be:
(2)If side length of similar figure have ration then the ratio of surface area will be:
