Answer:
420 cm²
Step-by-step explanation:
Given the width is x then the length is x + 8 ( 8 longer than width )
Given the perimeter = 90 cm
Sum the lengths of the sides stating at the top left corner and going clockwise
Noting that the indentation small part is 8 - x
x + 8 + x + x + 8 - x + 8 + x + x + 8 + x + x + 8 - x + 8 + x
= 6x + 48
Equating perimeters
6x + 48 = 90 ( subtract 48 from both sides )
6x = 42 ( divide both sides by 6 )
x = 7
Thus width = 7 cm and length = 7 + 8 = 15 cm
The figure is made of 4 rectangles, thus
area = 4 × (7 × 15) = 4 ×105 = 420 cm²
It will tell you if the wall meet at a perfect right angle.
In a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. This can be used to test any triangle.
Answer:
The extra hours is 12 hours
Step-by-step explanation:
We are given
She has already saved up $50 for the dress
and this is equation of line
so, y-intercept is 50
now, we can find slope
we can select any two points and then we can find slope
x1=0 , y1=50
x2=2 , y2=75
now, we can use formula
now, we can plug values
now, we can find equation
y=mx+b
we are given y=200
so, we can set it to 200 and then we can solve for x
Answer:
C
Step-by-step explanation:
Given
x² + 5x - 36
Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (+ 5)
The factors are + 9 and - 4 , since
9 × - 4 = - 36 and 9 - 4 = + 5, thus
x² + 5x - 36 = (x + 9)(x - 4)
Thus (x + 9) is a factor