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elena-14-01-66 [18.8K]
3 years ago
15

What is the volume of the composite figure? Express the answer in terms of π.

Mathematics
2 answers:
topjm [15]3 years ago
8 0

Answer:

312π mm³

Step-by-step explanation:

Given:

Oblique cone height, h = 14 mm

radius of half sphere = base radius of cone, r = 6 mm

Recall the volume of 1/2 - sphere

= 1/2 x volume of sphere

=  1/2 x (4π/3) r³

= 1/2 x (4π/3) (6)³

= 144π

Also volume of an oblique cone =

=volume of a right cone

= (π/3) r²h

= (π/3) 6²(14)

=168π

Volume of composite figure = 144π + 168π = 312π mm³

Oksi-84 [34.3K]3 years ago
3 0

Answer: c

Step-by-step explanation:

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Brilliant_brown [7]

Answer:

idk

Step-by-step explanation:

7 0
3 years ago
Jennifer is twice as old as laurel, who is 4 years younger than nana. If nana is two years younger than Jennifer what is nana’s
shutvik [7]

Nana's age: 10 years

Step-by-step explanation:

Here we call:

J = Jennifer's age

L = Laurel's age

N = Nana's age

We have the following information:

- Jennifer is twice as old as laurel, so

J = 2L (1)

- Laurel is 4 years younger than Nana, so

L = N - 4 (2)

- Nana is 2 years younger than Jennifer, so

N = J -2 (3)

Substituting (2) into (1),

J = 2(N-4) = 2N - 8

And substituting this into (3) and solving for J, we find Nana's age:

N = (2N-8) - 2

N = 2N - 10

N = 10

Which means that Jennifer's age is:

J =  N + 2 = 12

And Laurel's age is

L = J/2 = 6

Learn more about equations:

brainly.com/question/11306893

brainly.com/question/10387593

#LearnwithBrainly

7 0
4 years ago
Can someone please help me?
Ulleksa [173]

Part (a)

We have some unknown number x which is a placeholder for a positive whole number (eg: x = 4).

What's happening to x are these two things, in this exact order

  1. Multiply by 85
  2. Add 60

We multiply first, then add. The order is important. We're following the order of operations PEMDAS here. If we knew what x was, then we'd go forward in the PEMDAS chain; however, we don't know what x is. So we go backwards in the chain to isolate x. This will undo every operation applied to x.

So,

C = 85x+60

C-60 = 85x

85x = C-60

x = (C-60)/85

In the second step, I subtracted 60 from both sides to undo the "plus 60" operation. Then in the last step, I divided both sides by 85 to undo the multiplication.

<h3>Answer:   x = (C-60)/85</h3>

===============================================================

Part (b)

How many ski trips can we take if we spend $315? We simply plug in C = 315 into that equation we just found at the end of part (a).

Doing so gets us...

x = (C-60)/85

x = (315-60)/85

x = 255/85

x = 3

We can take 3 ski trips if we spent a total of $315

Repeat the same steps for C = 485

x = (C-60)/85

x = (485-60)/85

x = 425/85

x = 5

We can take 5 ski trips if we spent a total of $485

Note how plugging something like x = 5 into the original equation yields:

C = 85x+60

C = 85*5+60

C = 425+60

C = 485

Showing that x = 5 leads to C = 485. This helps confirm the second answer. I'll let you check the first answer.

<h3>Answers: 3 trips and 5 trips respectively</h3>
6 0
3 years ago
WILL GIVE BRAINLIEST
Reika [66]
50.1 is the answer hope this helps and please GIVE ME BRAINIEST and add me as a friend. 86.9-36.8=50.1
4 0
4 years ago
How do you solve square root problems<img src="https://tex.z-dn.net/?f=%2012%20%5Csqrt%28%20-10%29%5E12%20" id="TexFormula1" tit
shtirl [24]
IF it is \sqrt[12]{-10^{12} } then the roots would cancel out the power of 12.  and the result would be -10
3 0
3 years ago
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