Answer:
(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm
Step-by-step explanation:
(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²
The area of the square of x sides removed from its center is x².
The area A of the each face of the coin is thus A = 9π - x²
Since the area of each face of the coin A = 7π cm²,
then
7π = 9π - x²
9π - 7π - x² = 0
2π - x² = 0
(2) Solve the equation 2π - x² = 0
2π - x² = 0
x² = 2π
x = ±√(2π)
x = ± 2.51 cm
Since x cannot be negative, we take the positive answer.
So, x = 2.51 cm
≅ 2.5 cm
(3) Find the perimeter of the square
The perimeter of the square, p is given by p = 4x
p = 4 × 2.51 cm
= 10.04 cm
≅ 10 cm
A.
Step-by-step explanation:
To find out the answer, there is a method that can be used to find out if a line is a function. It is called the vertical line method. And it also has to be per x, One y value has to be there. Analyzing the graphs, the answer should be option A.
It will travel 180 miles
4.5 • 40= 180
Answer:
Length: 14 feet Width: 1 foot
Step-by-step explanation:
This is the only way to have a rectangle that has a perimeter of 30 feet, and an area of 14 feet.
For perimeter:
14 + 14 = 28
1 + 1 = 2
2 + 28 = 30
These dimensions have a perimeter of 30.
For area:
14 x 1 = 14
These dimesnions also have an area of 14.
So, 14 and 1 are the correct dimensions!
Answer:
y= 500+7x
Step-by-step explanation:
Given data
Total amount for the rent= $500
Cost of food per night= $10
Family charges per night=$60
Let the number of nights be x
and let the total charges be y
Hence, the expression for the situation is given as
y=500+10x+60x
y= 500+7x
