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yawa3891 [41]
3 years ago
11

Help me solve this question please

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

Answer:

Step-by-step explanation:

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Question 7
serg [7]

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>a </u><u>cone</u><u> </u><u>with </u><u>volume</u><u> </u><u>7</u><u>6</u><u>9</u><u>?</u><u>3</u><u> </u><u>ft³</u><u> </u><u>,</u><u> </u><u>having </u><u>a </u><u>height </u><u>of </u><u>1</u><u>5</u><u> </u><u>ft</u>

  • To calculate - <u>radius </u><u>of </u><u>the </u><u>cone</u>

We know that ,

\bold{Volume \: of \: cone =  \frac{1}{3}\pi \: r {}^{2}  h }\\

<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula</u><u> </u><u>stated </u><u>above </u><u>,</u>

\bold{769.3 =  \frac{1}{3}  \times 3.14 \times r {}^{2}  \times 15} \\  \\\bold{\implies r {}^{2}  =  \frac{769.3 \times 3}{3.14 \times 15} } \\  \\\bold{\implies  r {}^{2}  =  \cancel\frac{2307.9}{47.1}}  \\  \\\bold{ \implies \: r {}^{2}  = 49} \\  \\ \bold{\implies \: r = 7 \: ft}

therefore ,

<u>radius </u><u>=</u><u> </u><u>7</u><u> </u><u>cm</u>

hope helpful ~

4 0
2 years ago
Question 1
mamaluj [8]

Answer:

The maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.

Step-by-step explanation:

Given : A total of 1,000 BTUs are needed to cool a space. If 2.5 BTUs are needed to cool 1 cubic foot of space.

To find : What is the maximum volume of space that 1,000 BTUs will cool?

Solution :

Applying unitary method,

2.5 BTU are needed to cool 1 cubic foot of space.

So, 1 BTU are needed to cool \frac{1}{2.5} cubic foot of space.

Then,1000 BTU are needed to cool \frac{1}{2.5}\times 1000 cubic foot of space.

i.e. 1000 BTU are needed to cool 400 cubic foot of space.

Therefore, the maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.

4 0
3 years ago
Select the number property that will justify the step in the following expression.
Lostsunrise [7]
Associative property of multiplication which states :
(a * b) * c = a * (b * c)
5 0
3 years ago
Read 2 more answers
3 + (-3)^2 - (9 +7)^0
MatroZZZ [7]

Answer:

11

Step-by-step explanation:

3+(−3)^2−(9+7)^0

=3+9−(9+7)^0

=12−(9+7)^0

=12−16^0

=12−1

=11

any number to the power of 0 is ALWAYS 1

3 0
3 years ago
Read 2 more answers
Suppose that the world's current oil reserves is
SOVA2 [1]

Answer:

  A)  R = 1900 -24t

  B)  1684 billion barrels

  C) 79.17 years

Step-by-step explanation:

<h3>A)</h3>

Reserves start at 1900 billion barrels and decrease by 24 billion barrels each year. The value for t=0 is 1900; the value for t=1 is 24 less.

  R = 1900 -24t

__

<h3>B)</h3>

For t=9, the reserves will be ...

  R = 1900 -24(9) = 1900 -216 = 1684 . . . . billion barrels

__

<h3>C)</h3>

The reserve will be 0 when ...

  0 = 1900 -24t

  24t = 1900 . . . . . add 24t

  t ≈ 79.17 . . . . divide by 24

Reserves will be gone in about 79.17 years.

5 0
3 years ago
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