Answer:
B. 100
Step-by-step explanation:
(m + n)^2
= m^2 + 2mn + n^2
Rearrange
(m^2 + n^2) + 2mn
Substitute
(68) + 2*16
= 68 + 32
= 100
Answer:
1661.06 cm²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 11.5 cm
Size of synthetic leather needed =?
To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:
Radius (r) = 11.5 cm
Pi (π) = 3.14
Area of ball =?
The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:
A = 4πr²
A = 4 × 3.14 × 11.5²
A = 4× 3.14 × 132.25
A = 1661.06 cm²
Thus, 1661.06 cm² of synthetic leather needed to cover the ball.
Length = x, width = y
x = 2y - 10....so sub in 2y - 10 for y back in the other equation
2x + 2y = 88
2(2y - 10) + 2y = 88
4y - 20 + 2y = 88
4y + 2y = 88 + 20
6y = 108
y = 108/6
y = 18
x = 2y - 10
x = 2(18) - 10
x = 36 - 10
x = 26
so the length (x) is 26 mm and the width (y) is 18 mm
The width of the stamp is 8 mm less then the length (26 - 18 = 8)
Answer:
ac/b
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step 1: Add 4n to both sides.
n+4n=−4n−1+4n
5n=−1
Step 2: Divide both sides by 5.
5n
5
=
−1
5
n=
−1
5