Answer:
Step-by-step explanation:
<u>Dimensions given:</u>
- l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ft
A small cube has side of 1/4 ft
Find the number of small cubes can fit in each dimension of the prism.
<u>Length</u>
- 2 1/4 : 1/4 = 9/4 * 4 = 9
<u>Width</u>
<u>Height</u>
- 1 1/4 : 1/4 = 5/4 * 4 = 5
Part A
<u>Number of small cubes would be:</u>
Part B
<u>Each small cube has volume:</u>
The volume of the prism in terms of small cubes is 180 as we found above.
<u>The volume in terms of unit cube:</u>
- V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³
Answer:
24
Step-by-step explanation:
Step 1: Define
x = 2
y = 4
16x + 2x² - y²
Step 2: Substitute and Evaluate
16(2) + 2(2)² - 4²
32 + 2(4) - 16
16 + 8
24
Answer:
80 ft²
Step-by-step explanation:
The carpet area will be the area of the pentagon less the 25 square feet taken up by the tree. The area of the pentagon is found by putting the given numbers into the given formula.
pentagon area = 5((7 ft)(6 ft))/2 = 105 ft²
carpet area = 105 ft² -25 ft² = 80 ft²
Peter will need 80 square feet of carpet.
B) Parallelogram JKLM is translated and then dilated
as well as c
C) Parallelogram JKLM is dilated and translated
C is the best answer because is size is changing. In all the others nothing is changing except the position which remains congruent and similar but C does not . The sizes changes which makes them not congruent but still similar.
Answer:
B
Step-by-step explanation:
Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have
We can cross multiply to get that
