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AnnyKZ [126]
3 years ago
15

Can someone help with this question

Mathematics
1 answer:
NikAS [45]3 years ago
4 0
1st : Find the volume of the rectangular block:
12 × 10 × 20 = 2400 cm^3.

2nd : Find the volume of a cylinder
\pi  {r}^{2} h
Where r is radius & h is height.
so:
\pi \times 2.2 {}^{2}  \times 5.0
= 76.02654222 cm^3

Lastly, divide the volume of the rectangular block by the volume of the cylinder
2400 ÷ 76.026 = 31.5679226

You can't round it up so the answer is F) 31
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3. Find the value of p in each of the following when f(x) is divided by d(x), with the help of remainder theorem:
ipn [44]

The remainder theorem says that dividing a polynomial <em>f(x)</em> by a 1st-degree polynomial <em>g(x)</em> = <em>x</em> - <em>c</em> leaves a remainder of exactly <em>f(c)</em>.

(a) With <em>f(x)</em> = <em>px</em> ³ + 4<em>x</em> - 10 and <em>d(x)</em> = <em>x</em> + 3, we have a remainder of 5, so

<em>f</em> (-3) = <em>p</em> (-3)³ + 4(-3) - 10 = 5

Solve for <em>p</em> :

-27<em>p</em> - 12 - 10 = 5

-27<em>p</em> = 27

<em>p</em> = -1

(b) With <em>f(x)</em> = <em>x</em> + 3<em>x</em> ² - <em>px</em> + 4 and <em>d(x)</em> = <em>x</em> - 2, we have remainder 8, so

<em>f</em> (2) = 2 + 3(2)² - 2<em>p</em> + 4 = 8

-2<em>p</em> = -10

<em>p</em> = 5

(you should make sure that <em>f(x)</em> was written correctly, it's a bit odd that there are two <em>x</em> terms)

(c) <em>f(x)</em> = 2<em>x</em> ³ - 4<em>x</em> ² + 6<em>x</em> - <em>p</em>, <em>d(x)</em> = <em>x</em> - 2, <em>R</em> = <em>f</em> (2) = 18

<em>f</em> (2) = 2(2)³ - 4(2)² + 6(2) - <em>p</em> = 18

12 - <em>p</em> = 18

<em>p</em> = -6

The others are done in the same fashion. You would find

(d) <em>p</em> = 14

(e) <em>p</em> = -4359

(f) <em>p</em> = 10

(g) <em>p</em> = -13/2 … … assuming you meant <em>f(x)</em> = <em>x</em> ⁴ + <em>x</em> ³ + <em>px</em> ² + <em>x</em> + 20

8 0
3 years ago
What is the approximate surface area of the cylinder?
Alona [7]

<em><u>below</u></em>

Step-by-step explanation:

  • <em><u>The general formula for the total surface area of a cylinder is T. S. A. =2πrh+2πr2 </u></em><em><u>•</u></em>

6 0
2 years ago
lemon and tarzan are collecting pencils in a ratio of 2:4. If they collected 162 pencils all together, how many pencils did Lemo
OlgaM077 [116]

Answer:

81

Step-by-step explanation:

162 divided by 2

7 0
3 years ago
3000-{ ( 3848 : 74 + 23 x 12 ) x 8 } - ( 125 x 14 : 10 ) =
lara31 [8.8K]

Answer:

2739

Step-by-step explanation:

3000-(52+276:8)-(1750:10)

3000-(52+34)-175

3000-86-175=2739

5 0
3 years ago
You are asked to bake muffins for a breakfast meeting. Just as you are about to start making them, you get a call saying that th
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Answer: 6 eggs

Step-by-step explanation:

Given : The number of eggs required for the original recipe of muffins = 3

If the number of people coming to the meeting has doubled, then the number of eggs you need to make twice as many muffins will be the product of 2 and 3.

i.e.  The number of eggs you need to make twice as many muffins = 2\times3=6

Hence, you need 6 eggs to make twice as many muffins.

5 0
3 years ago
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