Answer:
b =± 5 sqrt(3)
Step-by-step explanation:
f(b) = b^2 – 75
To find the roots set the equation equal to zero
b^2 -75 =0
Add 75 to each side
b^2 – 75+75 = 0+57
b^2 = 75
Take the square root of each side
sqrt(b^2) = ±sqrt(75)
b = ±sqrt(3*25)
We know that sqrt(ac) = sqrt(a) sqrt(c)
b = ±sqrt(3)*sqrt(25)
b =± 5 sqrt(3)
Answer:
54 cm
Step-by-step explanation:
Using the formula for the area of a trapezoid (area is the sum of the two bases times the height and then halved):
A = 1/2 (h) (b1 + b2)
5350 = 1/2 (h) (135 + 65)
5350 = 1/2 (h) (200)
5350 = h (100)
5350/100 = h
h = 53.5
h ≈ 54 cm
Answer:
46
Step-by-step explanation:
The value 529 is 23·23, so Bert must have had 23 friends bring him 23¢ each.
The way 23¢ can be made with 6 coins is ...
So, Bert collecte 23 × (2 nickels) = 46 nickels.
Answer:
Area of a Rectangle: l x w
2 x 3 = 6
Area of a Triangle:

The slanted height of the triangle is 2 and the base of the triangle is also 2 so

So to get the area of the figure you add the area of the rectangle plus the area of the triangle.
6+2=8
The area of the figure is 8 units square