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
It is b. Good luck six less than
Answer:
10.9
Step-by-step explanation:
4 1/2 plus 6 2/5=10.9
Let the smallest angle = x
Then the larger one = 71x
Supplementary angles are always equal to 180o
x + 71x = 180o Add the left side
72x = 180 Divide by 72
x = 180/72
x = 2.5
The smallest angle = 2.5 degrees
The largest angle = 2.5 * 71
The largest angle= 177.5 degrees.
Answer:
y = - 9x + 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 9x - 2 ← is in slope- intercept form
with slope m = - 9
Parallel lines have equal slopes, thus
y = - 9x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = - 18 + c ⇒ c = - 3 + 18 = 15
y = - 9x + 15 ← equation of parallel line