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3 years ago

6

Find the volume of a right circular cone that has a height of 11.8 ft and a base with a radius of 16 ft. Round your answer to th

e nearest tenth of a cubic foot.

1 answer:

andreyandreev [35.5K]3 years ago

4 0

Answer:

3161.8 cubic foot

Step-by-step explanation:

V = 1/3BH = 1/3πr²H

V = 1/3 x 3.14 x 16² x 11.8 = 3161.77

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The ages of three siblings are consecutive integers. The sum of their ages is 42. Calculate their ages. *

stealth61 [152]

Answer:

13, 14, 15

Step-by-step explanation:

Let x = age of one of the siblings

Since the age of the siblings are consecutive integers, the age of the next sibling would be x + 1 and the age of the third sibling would be x + 2

x +( x +1) + (x +2) = 42

3x + 3 = 42

collect like terms and solve for x

x = 13

The age of the first sibling is 13

The age of the second sibling is x + 1 = 13 + 1 = 14

The age of the third sibling is x + 2 = 13 + 2 = 15

8 0

3 years ago

Simplify 4a +3b - a -5b

Umnica [9.8K]

4a + 3b - a - 5b

First, gather the like terms.
$(4a - a)+(3b-5b)$
Second, subtract 4a - a to get 3a.
$(3a)+(3b-5b)$
Third, subtract 3b - 5b to get 2b.
$3a - 2b$

Answer: 3a - 2b

6 0

3 years ago

For what value of a does (1/9)a+1 =81a+1 272-a?

AlexFokin [52]

Answer:

-4

Step-by-step explanation:

$\left( \dfrac{1}{9}\right)^{a+1}= 81^{a+1}\cdot 27^{2-a}\\\\\\(3^{-2})^{a+1}=(3^4)^{a+1}\cdot (3^3)^{2-a} \\\\\\3^{-2a-2}=3^{4a+4}\cdot 3^{6-3a} \\\\\\3^{-2a-2}=3^{a+10} \\\\\\-2a-2=a+10 \\\\\\-3a=12 \\\\\\a=-4$

Hope this helps!

8 0

3 years ago

Find the Area of the figure below, composed of a rectangle with two semicircles removed. Round to the nearest tenths place.

Allisa [31]

Answer:

21.8

Step-by-step explanation:

hii so basically first we find the area of the 9 by 8 and subtract the area of the semicircles.

area of circles are πr^2, so in this situation

π4^2 which is 16π.

with this, the semicircle which is half a circle would give us

16π/2 which is 8π.

but then, we have two semicircles removed so we would have as an answer:

(9*8)-8π+8π

72-16π

then you would have to round so

16π is around 50.2

so 72-50.2 is 21.8

i hope this helped you <33

6 0

3 years ago

Evaluate the expression 10-2x for the x values given below

cricket20 [7]

For this case we have the following expression:

$10-2x$

Let's evaluate the expression for some values of x.

We have then:

For x = 1:

$10-2 (1)\\10-2\\8$

For x = 2:

$10-2 (2)\\10-4\\6$

For x = 3:

$10-2 (3)\\10-6\\4$

For x = 4:

$10-2 (4)\\10-8\\2$

For x = 5:

$10-2 (5)\\10-10\\0\\$

Answer:

The value of the expression in ordered pairs is:

(1,8)
(2.6)
(3,4)
(4.2)
(5.0)

5 0

3 years ago