you're given the pythagorean theorem, which is a^2 + b^2 = c^2.
what you're trying to find is ?, which is the number under the radical.
let's pretend one leg is a and the other is b.
a = 9
b = 10
so let's plug it into the equation. we get 9^2 + 10^2 = c^2
so that equals 81 + 100 = c^2
181 = c^2
so c will equal the square root of 181. therefore, ? = 181.
hope i helped! good luck.
3.5 years (so 4 years)
2500×0.065 (this gets the amout earned per year) =162.5
568.75÷162.5 (how many years to get the desired amount) =3.5
Answer:
278.64cm²
Step-by-step explanation:
Area of the sheet left out = Area of the square - Area of the 9 circles
Area of the square = L^2
L is the side length of the square
A = 36^2
Area of the square = 1296cm^2
Diameter of a circle = 38/3 = 12cm
Area of a circle = πr²
r is the radius = 12/2 = 6cm
Area of a circle = 3.14(6)²
Area of a circle = 3.14 * 36
Area of a circle = 113.04cm²
Area of 9 circles = 9 * 113.04
Area of 9 circles = 1,017.36cm²
Area of the left over = 1296 - 1,017.36
Area of the left over = 278.64cm²
The formula for circumference is C = 2πr.
The question gives you the circumference (C in the formula), and you need to find the radius (r in the formula). Begin by isolating r in the circumference formula.
C = 2πr
C/2π = r
r = C/2π
Now you can plug 96 for C and solve to find r.
r = C/2π
r = 96/2π
r ≈ 96/6.28
r ≈ 15.29
Answer:
The radius of a circle with a circumference of 96 feet is approximately 15.29 feet.
Answer:
Tyler should buy 2 goldfishes for his fish tank,
Step-by-step explanation:
First let's find the volume of the sphere, using the following equation:

The radius is half the diameter, so the radius is 14/2 = 7 inches
Now, finding the volume, we have:


Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

Tyler should buy 2 goldfishes for his fish tank,