2/5 of 7/10 =
2/5 of 7/10 is equal to 7/25 in simplest form.
We multiply the numerators (the numbers on top) together and the denominators (the numbers on the bottom) together.
(2/5) * (7/10) = (2 * 7) / (5 * 10) = 14/50
To simplify this fraction further, you can divide both the numerator and denominator by their greatest common divisor, which in this case is 2:
14/50 = (14 ÷ 2) / (50 ÷ 2) = 7/25
So, 2/5 of 7/10 is equal to 7/25 in simplest form.
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Answer:
d = 24
Step-by-step explanation:
The area of a circle is given by A = π * r²
We are told the area of the clock is 144π.
Let's clear the formula for the radius:
r² = A / π
r² = 144π / π
r² = 144
r = √144
r = 12
The diameter is two times the radius, d = 2r = 2*12 = 24.
To find the diameter of the clock face, we can use the formula A = πr² and solve for r using the given area. The diameter can then be found by multiplying the radius by 2.
To find the diameter of the clock face, we need to find the radius of the clock first. The area of a circle is given by the formula A = πr², where A is the area and r is the radius. Given that the area of the clock face is 144π square feet, we can set up the equation as follows:
144π = πr²
To solve for r, we divide both sides of the equation by π:
144 = r²
Taking the square root of both sides, we find:
r = √144 = 12
Since the diameter is twice the radius, the diameter of the clock face is 2 times 12, which is 24 feet.
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The quotient is 56, and there is a remainder of 2.
The quotient of 1,458 divided by 26 is 56. In long division, you would set up the problem as follows:
56
__________
26 | 1,458
You start by asking how many times 26 can fit into 145 (the first two digits of 1,458). The answer is 5 (5 times 26 equals 130).
You write the 5 above the line and subtract 130 from 145, leaving you with 15.
Then, you bring down the next digit, which is 8, making it 158. You repeat the process, finding that 26 goes into 158 six times (6 times 26 equals 156).
Write the 6 above the line, and you're left with a remainder of 2. So, the quotient is 56, and there is a remainder of 2.
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1458/26 = 56.0769230769
Hope this helps! <3