Answer:
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is equal to
we have
substitute the values
step 2
Find the area of the circle
The area of the circle is equal to
substitute the values
Kathy is baking cakes. Each cake requires 1/12 of a teaspoon of vanilla, and she has 9/12 of a teaspoon, how many cakes can she
1 answer:
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Answer:
<em>L = 24,873.6 miles</em>
Step-by-step explanation:
<u>Length of the Circumference</u>
Given a circle of radius r, the length of the circumference, or line surrounding the shape is:
The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:
r=7,917.5/2=3,958.75 miles
Assuming a plane flies around the equator at ground level, the distance it would travel is:
L = 24,873.6 miles
Answer:
B
Step-by-step explanation:
Since the triangle is right use the sine/ tangent ratios to solve for x and y
note sin60° = and tan60° =
sin60° = =
ysin60° = 3
y × = 3
multiply both sides by 2 and divide by
y v= 6 = 6
tan60° = =
xtan60° = 3
x × = 3
divide both sides by
x = 3 = 3
Answer:
Step-by-step explanation:
Length = x
width = x - 7
height = x - 10
volume = 600 in^3
Volume = L * w * h
600 = x * (x - 7)*(x - 10)
600 = x * (x^2 - 17x + 70)
600 = x^3 - 17x^2 + 70x
x^3 - 17x^2 + 70x - 600 = 0
There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.
a = 1
b = - 17
c = 70
d = - 600
There is only 1 real solution: x = 15
L = 15
w = 8
h = 5
That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.
