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olchik [2.2K]
3 years ago
10

5/7=20/r R=28 Can anyone explain how you get 28

Mathematics
1 answer:
Lesechka [4]3 years ago
8 0

Answer:

Step-by-step explanation:

we are given that these two fractions are equal. however, 20/r is just given in numerators and denominators that are four times as large, even though it is still equal to 5/7. we can tell this because 20 is 4 times larger than 5, which means that R must be 4 times larger than 7, right? YES. so we take 7*4 to get 28.

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Please help me on this question (answer all parts please)
ozzi

SOLUTION:

Case: Volume of Sphere

Method:

a) The volume of a sphere whose diameter, d= 28in

The radius,

r= 28/2

r= 14 in

The Volume, therefore:

\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\pi\times14\times14\times14 \\ V=11494.04\text{ }cubic\text{ }inches \end{gathered}

b) When half of the volume is used,

\begin{gathered} V=\frac{1}{2}V_0 \\ V=\frac{1}{2}\times11494.04 \\ V=5747.02\text{ }cubic\text{ }inches \end{gathered}

c) The radius of the halved volume

\begin{gathered} V=\frac{4}{3}\pi r^3 \\ 5747.02=\frac{4}{3}\pi r^3 \\ r^3=\frac{3\times5747.02}{4\pi} \\ r^3=1372 \\ r=\sqrt[3]{1372} \\ r=11.11\text{ }inches \end{gathered}

Final answer: (To 2 d.p)

a) 11494.04 cubic inches

b) 5747.02 cubic inches

c) 11.11 inches

5 0
1 year ago
Y-4-4y= -1. Somebody help please
raketka [301]

Answer:

Y=-1

Step-by-step explanation:

Y-4-4Y=-1

-3Y=-1+4

-3Y=3

Y=3÷-3

Y=-1

6 0
3 years ago
Read 2 more answers
What is 4/5 ratio in hours ?
mihalych1998 [28]

Answer:

60-12= 48 min. or .8 hours

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
In February, Campus Cycle Repair had income from sales of $16,000. Expenses for the month included: rent, $1,250; utilities, $45
djyliett [7]

Answer:

Profit $5700

Step-by-step explanation:

To find loss/profit you subtract the expenses from the total income

Income from sales= $16000

Franchise fee= 5% of sales income

=\frac{5}{100} *16000=800

Rent=$1250

Utilities=$450

Wages=$4800

insurance=$300

supplies=$2700

Total expenses

=$1250+$450+$4800+$300+$2700+$800=$10300

Total income

=$16000

Profit

=$16000-$10300=$5700

5 0
3 years ago
Estimate. Then find the difference.<br><br> 324-285=
mafiozo [28]
            If rounding to the hundreds
To estimate round 324 and 285 to the closest hundred.
300 - 300
Then subtract 300 - 300 =
0
               If rounding to the tens
To estimate round 324 and 285 to the nearest ten.
320 - 290 
Then subtract 320 - 290 =
30
7 0
3 years ago
Read 2 more answers
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