Answer: You should cut out squares that are 4 inches by 4 inches.
One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.
The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.
Length = 19 - 2x
Width = 18 - 2x
Height = x
Volume = LWH
So our equation could be: y = (19 - 2x)(18 - 2x)x
If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
Answer:
x less than or equal to 5
i think thats what u wanted
Complementary angles = two angles that add to 90° complement each other.
So, angle x = 3y+18
y= complementary angle
(3y + 18) + y = 90
4y+18 = 90
4y=72
y=18°
x= 3y+18
x= 3(18) +18
angle x = 72°
Answer:
10ths
Step-by-step explanation:
The dividend of the given expression above is,
3d² + 2d - 29
and its divisor is equal to d+3. The steps in the long division are written below.
1. First, divide the first term of the dividend (3d²) by first term of the divisor (d). This gives us 3d.
2. Next, multiply the answer, 3d, by the divisor (d+3). This gives us 3d² + 9d.
3. Then, subtract the answer, 3d² + 9d from the dividend, 3d²+2d-29. This gives us,
-7d - 29
4. Next, divide the first term of -7d by the first term of the divisor, d. This gives us the answer of -7.
5. Next, multiply the answer, -7, by the divisor, d+3. This gives us -7d-29
6. Then, subtract the answer in step 5 from the answer in step 3. This gives us,
-7d-29 - (-7d-39) = 0
7. Combining the answer in steps 1 and 4 for the final answer will give us the answer of
3d-7
<em>Answer: 3d-7</em>
