The answer would be 18 because if you put 3a+6a+a=180 (the degrees of a triangle) and solve it a becomes 18
Answer:
12 ft²
50 ft²
Step-by-step explanation:
∆ABD = ∆CBD
Perimeter of ∆ABD = 12 ft²
Perimeter of triangle ∆CBD
If ∆ABD = ∆CBD
Then, Perimeter of ∆CBD = 12 ft²
∆ABC = ∆CDA
Area of ∆ABC = 25 ft²
Then the area of rectangle ABCD = Area of ∆ABC + Area of ∆CDA
= 25 ft² + 25 ft²
= 50 ft²
Answer:
A) irrational because the sum or rational and irrational is always irrational
B) rational the sum of two rationals is always rational
C)irrational the product of a rational and a irrational is always irrational
D) irrational because the product is sometimes rational but sometimes not
Step-by-step explanation:
Answer:
$4600
Step-by-step explanation:
Write an equation to represent the problem.
Interest is calculated by multiplying the interest rate with the investment. <u>Multiplying each of the rates</u> (2%, 7% and 9%) <u>in decimal form with the investment amount is equal to the annual interest</u>, (828).
Convert a percentage to decimal form by dividing by 100:
2% ÷ 100 => 0.02
7% ÷ 100 => 0.07
9% ÷ 100 => 0.09
let "P" represent the amount of money for the total investment
0.02P + 0.07P + 0.09P = 828
Use the equation to solve for "P". Simplify by collecting like terms (numbers that have the same variable) then isolate "P" by moving the other numbers to the right side. To move a number to the other side, do it's reverse operation to both sides of the equation. (The reverse of multiplying is dividing).
0.02P + 0.07P + 0.09P = 828 Collect like terms
0.18P = 828 Isolate "P"
0.18P/0.18 = 828/0.18 Divide both sides by 0.18
P = 828/0.18 "P" is isolated because 0.18 cancelled out. Simplify.
P = 4600 Total investment
Therefore the total investment is $4600.
