2radical 10 for simplifying radical 40
The volume of the box when it's filled to 3 inches deep is 12×8×3 = 288 in³
The box is filled up to 1.5 inches from the top, that means the box is filled only
3-1.5 = 1.5 inches deep
The volume of the box when it's filled to 1.5 inches deep is 12×8×1.5 = 144 in³
The number of flours saved is 288 - 144 = 144 in³
Answer:
x=3
Step-by-step explanation:
By vertical line test, x=3 fails because more than 2 points have the same x value. Functions must pass the vertical line test.
Answer:
![67.5\text{ [square units]}](https://tex.z-dn.net/?f=67.5%5Ctext%7B%20%5Bsquare%20units%5D%7D)
Step-by-step explanation:
The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.
<u>Formulas</u>:
- Area of rectangle with base
and height
:
- Area of triangle with base
and height
:
By definition, the base and height must intersect at a 90 degree angle.
The rectangle has a base of 10 and a height of 5. Therefore, its area is
.
The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is
.
Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is
.
Thus, the area of the total irregular figure is:
![50+5+12.5=\boxed{67.5\text{ [square units]}}](https://tex.z-dn.net/?f=50%2B5%2B12.5%3D%5Cboxed%7B67.5%5Ctext%7B%20%5Bsquare%20units%5D%7D%7D)
Answer:
50
Step-by-step explanation:
MHJ and LHK are vertical angles, which means they are equal
2x-20 = x+15
Subtract x from each side
2x-20-x = x+15-x
x-20 = 15
Add 20 to each side
x-20+20 = 15+20
x = 35
We want to find MHJ
MHJ =2x-20
=2(35) -20
= 70 -20
= 50