You only did the last one wrong, (3/4) times 2 is 3/2. 3/2 - 1/2 is 2/2 or 1.
So it'd be (2,1)
Step-by-step explanation:
the answer is 6
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Answer:
100/3 cubic feet.
Step-by-step:
In this case, if you observe the sphere, the height is simply two times the radius.
The formula to find the volume of a sphere is π * r^2 * h. The height is basically just 2r. And so, the edited formula becomes π * r^2 * 2r = 2 * π * r^3.
2 * π * r^3 = 50
π * r^3 = 25
r^3 = 7.957747155
r =
r = 1.996472712
Now that we have the measure of the radius, we can find the volume of the sphere!
(4 / 3) * π * r^3
(4/3) * π * (1.996472712)^3
= (4/3) * π * 7.957747155
= (4/3) * π * (25 / π)
= (4/3) * 25
= 100/3 cubic feet.
Hope this helps!
The lengths of the other two sides of the right triangle are 12 and 13
<h3>Pythagorean theorem </h3>
From the question, we are to determine the lengths of the other sides of the triangle
From the given information,
The other sides have lengths that are consecutive integers
Thus,
If the length of the other side is x
Then,
The hypotenuse will be x + 1
By the <em>Pythagorean theorem</em>, we can write that
(x+1)² = x² + 5²
(x+1)(x+1) = x² + 25
x² + x + x + 1 = x² + 25
x² - x² + x + x = 25 - 1
2x = 24
x = 24/2
x = 12
∴ The other leg of the right triangle is 12
Hypotenuse = x + 1 = 12 + 1 = 13
Hence, the lengths of the other two sides are 12 and 13
Learn more on Pythagorean theorem here: brainly.com/question/4584452
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Answer: 600
Step-by-step explanation: Cancel the common factor of 10 to get 600.