Answer:
The area of the rectangle is 40 and the area is the triangle is 20 therefore, the area of the shape is 60
Step-by-step explanation:
Rectangle:
8cm x 5cm = 40cm
Triangle <em>(</em><em>1</em><em>/</em><em>2bxh</em><em>)</em>
The base of the triangle would be 8 cm as the top and the bottom of the rectangle is the same width. The height was given to be 5 cm (<em>note the height is the dotted line</em>) Therefore the area of the triangle is half the base which is (8×1/2 = 4) times the height (5); which is 20.
Answer:
87.92 mm²
Step-by-step explanation:
Given:
- Radius of circular base: 2 millimeters
- Height of cylinder: 5 millimeters
<u>It should be noted:</u>
- Surface area of cylinder: 2πrh + 2πr² (R = Radius; H = Height)
When the measures are substituted, we get the following expression:
Multiply the constants and substitute π as 3.14.
- ⇒ 20π + 2π(4)
- ⇒ 20π + 8π
- ⇒ 20(3.14) + 8(3.14)
Finally, simplify the expression to determine the surface area.
- ⇒ 20(3.14) + 8(3.14)
- ⇒ 62.8 + 25.12
- ⇒ 87.92 mm²
Answer:
Her monthly income=$1,082
Step-by-step explanation:
Step 1: Express the total monthly pay:
The total monthly pay can be expressed as follows;
A=F+(R×T)
where;
A=the total monthly income
F=fixed income per month
R=commission rate
T=total monthly sales
In our case;
F=$650 a week
R=6%=6/100=0.06
T=$7200
replacing;
A=650+(6% of 7,200)
A=650+(0.06×7,200)
A=650+432=1,082
A=$1,082
Her monthly income=$1,082
The product of 7 and 6 (and anything lower) will give you a product under 49 as 7 times 7 equals 49
I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.
- 7x-2=x²-10
- x²-7x-8=0
- (x-8)(x+1)=0
- x = -1, 8
As distance must be positive, we reject the negative case, so x=8.
Thus, BE=ED=54.
