X= 45, you would place 15 into y's place, which would give you x-15= 30... then you would add 15 to both sides, which would give you x=45<span />
Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
Answer: the height of the kite is 106.065 ft
Step-by-step explanation:
The length of the kite represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.
To determine x, the height of the kite, we would apply the sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Therefore,
Sin 45 = x/150
Cross multiplying, it becomes
x = 150Sin45 = 150 × 0.7071
x = 106.065 ft
Answer:
1.2%
Step-by-step explanation:
Solving our equation
r = 10.2 / ( 425 × 2 ) = 0.012
r = 0.012
converting r decimal to a percentage
R = 0.012 * 100 = 1.2%/year
The interest rate required to
accumulate simple interest of $ 10.20
from a principal of $ 425.00
over 2 years is 1.2% per year.
