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Anna007 [38]
3 years ago
13

HELP!!!

Mathematics
1 answer:
Savatey [412]3 years ago
8 0

Hello!

To find the circumference of a circle, use the formula: C = 2πr. Since the radius is given, we can substitute that into the formula.

C = 2(36)π

C = 72π

Therefore, the circumference of the circle is 72π inches.

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What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
A book sold 31,500 copies in its first month of release. Suppose this represents 8.9% of the number of copies sold to date. How
kogti [31]

Answer:

35,393,258

Step-by-step explanation

\frac{31,500}{x} =\frac{0.089}{100}

0.089x=3,150,000

x= 35,393,258.427

Rounded to the nearest whole number, that is 35,393,258.

7 0
2 years ago
5-7
uranmaximum [27]

Answer:

the third option

Step-by-step explanation:

what does that mean ?

to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).

a square root of a not square number is irrational (not rational).

so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).

for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.

what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.

so, what works for 9 - sqrt(14) as factor ?

we cannot just square this as

(9- sqrt(14))² = 81 -2sqrt(14) + 14

we still have the square root included.

but remember the little trick :

(a+b)(a-b) = a² - b²

without any mixed elements.

so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get

81-14 = 67 which is a rational number.

therefore, the third answer option is correct.

7 0
3 years ago
Geckos and iguanas are both lizards. The length of an average gecko is about three quarters of the length of an average iguana.
andre [41]
20 in. Because if you divide it by three then multiply it by four you get your answer.
4 0
3 years ago
Read 2 more answers
21.4.2 Quiz: Introduction to Proofs
attashe74 [19]

Answer:

B. A conclusion proved by deductive reasoning

Step-by-step explanation:

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2 years ago
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