Answer:
690 sq in
Step-by-step explanation:
SA = LA + 2B where LA is the lateral area and B is the area of the base
The triangular base has an area of
B = 1/2bh 1/2(5)(12) = 30
LA = ph where p is the perimeter of the base and h is the height of the prism
LA = (12 + 5 + 13)(21) = 30(21) = 630
SA = 630 + 2(30) = 630 + 60 = 690 sq in
Answer:
Avery needs to pay $14.84
Step-by-step explanation:
When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:

Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:

The value to be paid is the product value plus the tax, therefore:

Avery needs to pay $14.84
Answer:
Step-by-step explanation:
Slope of perpendicular lines = -1
y = 5/2x + 3

-1 ÷ 
= 
(-3 , -5)
Equation of the required line: y - y₁ = m(x -x₁)
y - [5] = ![\frac{-2}{5}(x - [-3])\\](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B5%7D%28x%20-%20%5B-3%5D%29%5C%5C)

“To find the scale factor, we simply create a ratio of the lengths of two corresponding sides of two polygons. If the ratio is the same for all corresponding sides, then this is called the scale factor and the polygons are similar.”