Answer:
1) B
2) C
3) B
Step-by-step explanation:
Radius = D/2 = 7/2 × 2 = 7/4
Circumference = pi × D
= 7/2 pi
7/2 × 3.14 = 10.99
Approximately 11
Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3
The answer would be (5, -2). This is because when you plug in the respective values in for x and y into the equation 3x - 3y = 21, you get 21, which is the desired answer.
3x - 3y = 21
3(5) - 3(-2) = 21
15 + 6 = 21
21 = 21
Hope this helped!
First, we need to know how much the car depreciates each year. Multiply the price of the car by the percentage.
We can turn 9% into a decimal by moving the decimal point two places to the right.
9% = .09
24500 * .09 = 2205
Multiply the product by the amount of years you want to predict the price at.
2205 * 10 = 22050
Subtract that from the original price of the car.
24500 - 22050 = 2450
The value of a 10 year old car that costs $24500 and depreciates 9% every year will cost $2450.
