Answer:
36 cubic cm.
Step-by-step explanation:
To find volume, you multiply width by length by height, so 3x4x3, which is 36.
<h3>
Answer: 3 m/s^2</h3>
=======================================================
According to Newton's Second Law, we know that
F = m*a
where F is the force applied, m is the mass and 'a' is the acceleration.
We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.
Plug in F = 35 and a = 5 to find m
F = ma
35 = m*5
35/5 = m
7 = m
m = 7
The object has a mass of 7 kg
Our equation F = ma updates to F = 7a
Now plug in the force F = 21 to find 'a'
F = 7a
21 = 7a
21/7 = a
3 = a
a = 3
The acceleration will be 3 m/s^2
Notice how a smaller force applied means that the acceleration has also gone down as well.
Answer:
z < 8
Step-by-step explanation:
Add 3 to both sides
8 > z OR z < 8
Answer:
372 ft^2
Step-by-step explanation:
First, questions like these are easiest if you can draw a picture for visual. If you can envision this yard, you can break it up into two rectangles. The whole outer rectangle, and the inner rectangle created by the walkway. By taking the area of the inner rectangle, and outer rectangle, and subtracting them from each other, you get the area between them, which is the walk way.
Steps:
1. Start by finding the area of the whole yard. 28 ft x 40 ft=1120 ft^2
2. Find the area of the inner rectangle. (28 ft- 6 ft) x (40 ft- 6 ft)=748 ft^2
You subtract each outer number by 6 feet because of the three feet on either side from the walk way.
3. Lastly, 1120 ft^2- 748 ft^2= 372 ft^2
Hope this helps!
Answer:
8 x 4
Step-by-step explanation:
Lets say the length is x and the width is y.
xy = 32
2x + 2y = 24
Rearranging the second equation, we get:
2x = 24 - 2y
/2 /2
x = 12 - y
substitute into the first equation
y(12 - y) = 32
12y - y^2 = 32
-32 -32
-y^2 +12y - 32 = 0
x -1 x -1
y^2 - 12y + 32 = 0
(y - 8)(y - 4) = 0
y = 8 or 4
substitute into x = 12 - y.
x = 12 - 8 = 4
x = 12 -4 = 8
so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.
Hope I helped!
