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lorasvet [3.4K]
3 years ago
5

Find the volume of each figure to the nearest tenth. show your work

Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0

Answer:

Step-by-step explanation:

first, you need to know the formulas for volumes for a sphere, cone, and cube.

sphere volume is defined: V=4/3πr^3

cone volume is defined: V=πr^2(h /3)

cuboid volume is defined: V=lwh

Then just plug in:

sphere volume=4/3π6^3=904.78

cone volume=π5^2(13 /3)=340.34

cuboid volume=11*6*5=330

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Evaluate the expression when a= 4, b= - 2, and c= 7 - -> 5a - 9 (b - c)
ollegr [7]

Answer:

65

Step-by-step explanation:

Given the following question:

5a-9(b-c)
a = 4
b = 2
c = 7

In order to find the answer, we need to substitute the variables with the numbers given, and then solve using PEMDAS.

5\times4-9\times(2-7)
2-7=-5
5\times4-9\times-5
5\times4=20
20-9\times-5
9\times-5=-45
20--45
20+45=65
=65

Hope this helps.

8 0
2 years ago
A system of two linear inequalities is graphed as shown, where the solution region is shaded.
Zinaida [17]

Answer:

(-3,2) is located in the solution region.

Step-by-step explanation:

3 0
3 years ago
The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the t
Likurg_2 [28]

The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

<h3>What is triangle inequality theorem?</h3>

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b)>c

(b+c)>a

(c+a)>b

There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.

Suppose the length of the measurement of the third side of the triangular playground is <em>c</em> meters.

As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,

24+30 > c\\54 > c

For the sides 24 ft and c ft,

24+c > 30\\c > 30-24\\c > 6

Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

Learn more about the triangle inequality theorem here;

brainly.com/question/26037134

5 0
2 years ago
Read 2 more answers
2a +5 - 3a -12 please
chubhunter [2.5K]

Answer:

-7-a

Step-by-step explanation:

2a-3a +5-12

-a - 7

or -7-a

7 0
3 years ago
Read 2 more answers
Is 6 to the 3rd power equal to 2•2•2•3•3•3? Full explaination and reasoning.
Zolol [24]

Answer:

yes

Step-by-step explanation:

if you do 6^3 you get 216

6*6*6=216

6*6=36

36*6=216

2*2*2*3*3*3=216

2*2=4

4*2=8

8*3=24

24*3=72

72*3=216

4 0
3 years ago
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