Answer:

Step-by-step explanation:
remember when dividing with fractions, you are multiplying by the reciprocal.
this means

Answer:
5x - 3
Step-by-step explanation:
Add like terms: (4x + x) + (-6 + 3) = 5x - 3
Answer:
1766.3
Step-by-step explanation:
V=4
/3πr^3
= 4/3(3.14)(7.5)^3
= 4/3(3.14)(421.88)
= 4/3(1324.69)
= 1766.25
= 1766.3
I hope this is right!
Answer:
24 ft cubed
Step-by-step explanation:
The volume of a rectangular prism is denoted by the formula:
, where
is the length, w is the width, and h is the height.
Looking at the diagram, we can see that the length is 2 ft (so
= 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:


Thus, the answer is 24 ft cubed.
Hope this helps!
A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture: