Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
= 
, substitute values
= 
( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
Answer:
Area = πx² + x² or x²(π + 1)
Step-by-step explanation:
The area of the heart = area of a circle + area of the square
Note:
1. The 2 semicircles makes 1 full circle
2. The diameter of the circle = the side length of the square
Thus:
Area of the heart = πr² + s²
Where,
r = x
s = x
Formula for area of the heart = π(x²) + x² = πx² + x²
Area = x²(π + 1)
The inverse of the inverse function will give us back the original function.
So the inverse of the inverse function x² -2 will be √(x+2), which i s thus our original function.
So, the answer to this question is option A.
A way to validate the answer is take the composition of the original function and its inverse, the will give the result equal to x
Answer: B
. $23.42 is your answer
Hailey went to Frank’s Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 per pound. If Hailey paid for her purchase with a $50 bill, how much change did she receive?
Answer:
$23.43
Step-by-step explanation:
First, you need to find the total amount she needs to pay for the items she purchased:
1 3/4=1.75
8 1/2=8.5
Total purchase=(1.75*$13)+(8.5*$0.45)
Total purchase=22.75+3.82
Total purchase=26.57
No, you need to subtract the total amount you have to pay for your purchase from $50:
$50-$26.57=$23.43
According to this, the answer is that she received $23.43 as change.
