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Gala2k [10]
3 years ago
10

I have a number

Mathematics
1 answer:
9966 [12]3 years ago
4 0
I think it’s -1/2 because you would have to do the equation the opposite way so whenever it says divide you need to multiply etc.
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What is the volume of this cone?
olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius.  That gives us  1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length.  We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length.  You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

a^2 = b^2 + c^2

So we can find the height of the cone with that:

10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx  7.9

Now that we have the cone's height, we can solve for its volume:

v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2  \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3

5 0
3 years ago
Read 2 more answers
Estimate then find the product 48x38
omeli [17]
1824 the estimate is 1820
4 0
3 years ago
Read 2 more answers
Name two pairs of adjacent angles and two pairs of vertical angles in the figure
insens350 [35]
Adjacent angles :

IGJ and IGH

KGL and LGM

vertical angles :

JGK and HGM

IGJ and MGL


hope this helps

7 0
3 years ago
Find the formula for an exponential function that passes through the two points given.
goldenfox [79]

Answer:

y = 7(3^x)

Step-by-step explanation:

Given

(x_1,y_1) = (0,7)

(x_2,y_2) = (4,567)

Required

Determine the formula

An exponential function is of the form:

y = ab^x

For point (x_1,y_1) = (0,7)

7 = ab^0

7 = a*1

7 = a

a = 7

For point (x_2,y_2) = (4,567)

567 = ab^4

Substitute 7 for a

567 = 7*b^4

Divide both sides by 7

81 = b^4

Take 4th root of both sides

\sqrt[4]{81} =\sqrt[4]{b^4}

\sqrt[4]{81} =b

b = \sqrt[4]{81}

b = 3

Substitute 7 for a and 3 for b in y = ab^x

y = 7 * 3^x

y = 7(3^x)

3 0
3 years ago
Circle O has a circumference of approximately 44 in.
sleet_krkn [62]

Answer:

44

Step-by-step explanation:

because yea

4 0
3 years ago
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