To solve this problem, you must follow the proccedure below:
1. T<span>he block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:
V1=s</span>³
<span>
s is the side of the cube (s=9)
2. Therefore, you have:
V1=s</span>³
V1=(9 inches)³
V1=729 inches³
<span>
3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:
V2=LxWxH
L is the length (L=3 inches).
W is the width (W=3 inches).
H is the heigth (H=9 inches).
4. Therefore, you have:
V2=(3 inches)(3 inches)(9 inches)
V2=81 inches
</span><span>
5. The amount of wood that was left after the hole was cut out, is:
</span>
Vt=V1-V2
Vt=648 inches³
The answer is A. 41 because it is in the middle of the box.
Answer:
Answer is A(-3/4, 1/4), B(1,3/4), C(1/2,3/4) D(1/4,1)
Step-by-step explanation:
From the attached diagram, the coordinates are:
A(-3,1), B(4,-3), C(2,3), D(1,4)
The image is gotten by dividing the coordinates by the scale factor 4 to get the above answer
Given:
The quadratic equation is:
To find:
The solution for the given equation rounded to 2 decimal places.
Solution:
Quadratic formula: If a quadratic equation is 
, then:
We have,
Here, 
. Using the quadratic formula, we get
Now,
And
Therefore, the required solutions are 1.14 and -1.47.
Answer:x=2
Step-by-step explanation:
X=-b/2a
b=-4 a=1 in front of x
X=- - -4/2
X=4/2=2
