Answer:
32
Step-by-step explanation:
So, lets go over what we know:
The equation to find x is the same on both sides.
Now, lets find this equation:
So, the total area of the two lines on the left side of the triangle are 24.
Lets first subtract the first line from the total of the two lines to find the value of the second line:
24-3
=
21.
Now that we know the value of the 2nd line is 21. lets divide it by the first line(3) to find the scale factor:
21/3
=
7
So the scale factor is 7!
Lets plug this in for x.
We know that the first line is 4.
The second line is 7x bigger than 4.
So we can calculate this as:
7x4
=
28
So x is 28!
This is your answer!
Hope it helps! :)
Answer:
254.47 m or B
Step-by-step explanation:
First you find the area of the circle and then you subtract it from the area of the square to get your answer.
Hope it helps c:
Answer: Required expression: 
Result: 
Step-by-step explanation:
Given phrase: 
Required expression: ['+' used to express sum, 'x' used in place of 'of']
Since 18+16 = 34
Then,
![\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}](https://tex.z-dn.net/?f=%5Cdfrac14%5Ctimes%2818%2B16%29%3D%5Cdfrac14%5Ctimes34%20%20%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes17%5C%20%5C%20%5Ctext%7B%5BDivide%20numerator%20and%20denominator%20by%202%5D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B17%7D%7B2%7D)
Hence, 
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Answer:
-45
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
