Answer:
The support post positioned 23 feet far from the front of the house
Step-by-step explanation:
According to Pythagoras Theorem
(Hypotenuse)² = (Base)² + ( Perpendicular)²
We need to find Base so arranging the equation will give us
(Base)² = (Hypotenuse)² - ( Perpendicular)²
Taking under root on both sides
Base = √(Hypotenuse)² - ( Perpendicular)²
Base = √ (625 - 100)
Base = √525
Base = 23 feet
D would be 7.5 hope this helps
Answer:
$989.23
Step-by-step explanation:
The cost will be the product of the area in square feet and the cost per square foot.
The area of a trapezoid is given by the formula ...
... A = (1/2)(b1 +b2)h . . . . . where b1 and b2 are the base lengths, h is the height
Filling in the given information, the area is ...
... A = (1/2)(73 ft +114 ft)(46 ft) = 4301 ft²
Since each square foot costs $0.23, this number of square feet will cost ...
... (4301 ft²)×$0.23/ft² = $989.23
The landscaper will charge $989.23 to put sod on the backyard.
9514 1404 393
Answer:
y = 2·3^x
Step-by-step explanation:
The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.
The multiplier is 2, and the base of the exponential factor is 3. That gives us ...
y = 2(3^x)