Answer:
Length of the other side of the backyard is 80.4 feet.
Step-by-step explanation:
Let the dimensions of the Liam's rectangular backyard = 85 feet × a feet
Diagonal of the rectangle, AD = 117 feet
When we apply Pythagoras theorem in ΔABD,
AD² = AB² + BD²
(117)² = (85)² + BD²
a² = 13689 - 7225
a = √6464
= 80.399 feet
a ≈ 80.4 feet
Therefore, length of the other side of the backyard is 80.4 feet.
Answer:
Part 1) Helen's age is 32 years old and Jane's age is 24 years old
Part 2) 13 twenty-dollar bills
Step-by-step explanation:
Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?
Let
x----> Helen's age
y---> Jane's age
we know that
x=y+8 ----> equation A
(x-20)=3(y-20) -----> equation B
substitute equation A in equation B and solve for y
(y+8-20)=3(y-20)
y-12=3y-60
3y-y=60-12
2y=48
y=24 years
Find the value of x
x=y+8
x=24+8=32 years
Part 2)
Let
x-----> the number of five-dollar bills
y----> the number of twenty-dollar bills
we know that
5x+20y=305 -----> equation A
y=x+4 ------> x=y-4 ------> equation B
substitute equation B in equation A and solve for y
5(y-4)+20y=305
5y-20+20y=305
25y=325
y=13 twenty-dollar bills
Find the value of x
x=y-4
x=13-4=9 five-dollar bills
Answer:
40
Step-by-step explanation:
2% of 400 is 8
400 x 0.02 = 8
10% of 400 is 40
9514 1404 393
Answer:
90 m²
Step-by-step explanation:
The given linear dimensions have the ratio ...
red/blue = (6 m)/(4 m) = 3/2
The ratio of areas is the square of the ratio of the linear dimensions:
(red area)/(blue area) = (3/2)²
S = (blue area)(9/4) = (40 m²)(9/4)
S = 90 m²
The distributive property