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Mrac [35]
2 years ago
12

Fill the missing values in the ratio table

Mathematics
1 answer:
kramer2 years ago
8 0

Answer:

A really out of focus picture, but I think this might be what you want.

Step-by-step explanation:

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1. An inflatable beach ball has a circumference of 141.3 centimeters. What is the volume of the beach ball when fully inflated?
Tema [17]

1) The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The value of x is 3.

<u>Step-by-step explanation:</u>

It is given that, an inflatable beach ball has a circumference of 141.3 centimeters.

<u>1) To find the volume of the beach ball :</u>

Use the formula for volume of sphere to find the volume of beach ball when fully inflated.

Volume of sphere = (4/3)πr³

where, r is the radius of the sphere and π has the default value of 3.14.

<u>To find the radius :</u>

The given circumference is 141.3 = 2πr

⇒ r = 141.3 / 2π

⇒ r = 141.3 / (2×3.14)

⇒ r = 141.3 / 6.28

⇒ r = 22.5

Now, substituting r= 22.5 in the volume of sphere formula

Volume of sphere = (4/3) ×3.14× (22.5)³

⇒ 4/3 ×3.14 ×11391

⇒ (12.56×11391) / 3

⇒ 47690 cubic centimeters

The volume of the beach ball when fully inflated is 47690 cubic centimeters.

<u>2) The given equation is </u>4^{x} = 64<u></u>

⇒ 64 = 4×4×4

⇒ 64 = 4³

Therefore, the value of x is 3.

6 0
3 years ago
Please please please help!! i need this asap and i have no where else to go!
nadezda [96]
1   1   1        2
2  -3   1      -11            -2R1 + R2 → R2
-1  2  -1        8                R1 + R3 → R3

1    1    1      2
0    -5  -1   -15             R2 ⇔ R3
0    3    0     10

1    1    1      2
0    3    0     10             -R3
0   -5   -1    -15

1    1    1      2
0    3    0     10             1/3 R2
0    5    1     15

1    1    1      2                   -R2 + R1
0    1    0     10/3             -5R2 + R3
0    5    1     15

1    0    1      -4/3              
0    1    0     10/3             -R3 + R1
0    0    1      -5/3

1    0    0       1/3             
0    1    0     10/3           
0    0    1      -5/3

Therefore, x = 1/3, y = 10/3, z = -5/3
7 0
3 years ago
Read 2 more answers
8 + 12 = 2x<br><br> HELPPPP GOOD ANSWERS
Gennadij [26K]

Answer:

x = 10

Step-by-step explanation:

8 + 12 = 2x

8 + 12 = 20

20 = 2x

----   -----

2      2

10 = x

x = 10

5 0
3 years ago
Read 2 more answers
What’s the percent of change?<br> Original: 25<br> New: 18
soldier1979 [14.2K]

28% decrease

Solution:

Calculate percentage change

from V1 = 25 to V2 = 18

(V2−V1)|V1|×100

=(18−25)|25|×100

=−725×100

=−0.28×100

=−28%change

=28%decrease

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3 years ago
Express the following as an equation where k represents the contestant of the variation​
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Answer:

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