Answer:
The new volume is 375 cubic inches.
Step-by-step explanation:
Volume of a right square prism:
The volume of a right square prism is given by:

In which a is the length of the edge and h is the height.
A right square prism has a volume of 75 cubic inches.
This means that:

The prism is enlarged so its height is increased by a factor of 5
Edge is the same, height is 5 times. So

The new volume is 375 cubic inches.
Answer:
( x-3) ^2 + ( y-1) ^2 = 4
Step-by-step explanation:
The equation for a circle is given by
( x-h)^2 + ( y-k) ^2 = r^2 where (h,k) is the center and r is the radius
( x-3) ^2 + ( y-1) ^2 = 2^2
( x-3) ^2 + ( y-1) ^2 = 4
Answer:
5/16
Step-by-step explanation:
We need to change the mixed number to an improper fraction to find the reciprocal
3 1/5 = (5*3+1)/5 = 16/5
The reciprocal of 16/5 is found by flipping the fraction
5/16
40°, 60° and 80°
sum the parts of the ratio 2 + 3 + 4 = 9
The sum of the angles in a triangle = 180°
Divide 180 by 9 to find one part of the ratio
= 20° ← 1 part of the ratio
2 parts = 2 × 20 = 40°
3 parts = 3 × 20 = 60°
4 parts = 4 × 20 = 80°
The angles in the triangle are 40°, 60° and 80°
Answer:
t = v-u over a
Step-by-step explanation:
as you take away U
then divide by a