Answer:
Step-by-step explanation:
Area of rectangle = Length × Width
The given rectangle has a length if x meters
The width of the triangle is (x-3) meters
The area of the rectangle is given as 10 square meters.
Area if rectangle = x(x-3) = 10
Multiplying each term in the parentheses,
x^2 -3x = 10
x^2 -3x -10 = 0
This is a quadratic equation
We will look for two numbers such that when they are multiplied, it will give us -10x^2 and when they are added, it will give -3x. It becomes
x^2 + 2x - 5x -10 = 0
x(x+2)-5(x+2) =0
( x + 2)(x-5) = 0
x = -2 or x = 5
The length of the rectangle cannot be negative so the length is 5 meters
Widith = x+3 = 5-3 = 2 meters
A because it passes the vertical line test
the answer is 24i-7 she forgot to multiply 3 and 4 two times to distribute
Set up a ratio:
10 foot tall elephant / X shadow length = 15 foot tall statue / 18 foot shadow.
Cross multiply:
10 * 18 = X * 15
Simplify:
180 = 15x
Divide both sides by 15:
x = 180 / 15
x = 12
The elephants shadow was 12 feet long.
Answer:
The height of building to the nearest foot is h = 36 foot
Step-by-step explanation:
We have given,
Length of ladder leaning against a building, l = 45 foot
Bottom length between ladder and the building , b = 27
Now, we need to find the height of building to the nearest foot.
Let the height of building be h.
Using Pythagoras theorem,
Here, l = 45 , b = 27 and h =?
So,
h² = 45² - 27²
h = √(45² - 27²)
h = 36
The height of building to the nearest foot is h = 36 foot