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lina2011 [118]
3 years ago
10

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIL:((

Mathematics
1 answer:
Stels [109]3 years ago
8 0

Answer:

1/3

Step-by-step explanation:

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A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o
Natasha_Volkova [10]

Answer:

<h2>A) 3 cm</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have r = 1cm and H = 21cm. Substitute:

V=\pi(1^2)(21)=21\pi\ cm^3

The formula of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have V = 21π cm³ and H = 7cm. Substitute:

\dfrac{1}{3}\pi(r^2)(7)=21\pi        <em>divide both sides by π</em>

\dfrac{1}{3}(7)(r^2)=21         <em>divide both sides by 7</em>

\dfrac{1}{3}r^2=3         <em>multiply both sides by 3</em>

r^2=9\to r=\sqrt9\\\\r=3\ cm

5 0
2 years ago
Read 2 more answers
1
strojnjashka [21]

Answer:

Step-by-step explanation:

3x - 4y = 13 (1)

2x + y = 5 (2)

——————

3x - 4y = 13

4(2x + y = 5) (2) times 4

——————-

3x - 4y = 13

8x + 4y = 20

——————-

11x = 33

x = 33/11

x = 3

Plug x = 3 in (2):

2(3) + y = 5

6 + y = 5

y = 5-6

y = -1

Thus, x = 3 and y = -1

4 0
3 years ago
A+5=5a+5 how do i do this problem
Natali5045456 [20]

Answer:

0 = a

Step-by-step explanation:

The first thing to do is subtract 5 from both sides.

a + 5 = 5a + 5

   - 5          - 5      

The 5's cancel out.

Now we have a + 0 = 5a

You next subtract the a from both sides.

a + 0 = 5a

-a          -a

0 = 4a

Lastly would to get a by itself so then we divide 4 from both sides

0 = 4a

_     _  

4     4

0 = a

5 0
2 years ago
Expand the polynomial and simplify: (4xy− 1 8 y^2)^2
Vinvika [58]

Answer: 4y^{2}(2x-9y)^{2}

Step-by-step explanation:

We have the following polynomial:

(4xy-18y^{2})^{2}

This is a polynomial of the form (a-b)^{2}=a^{2}-2ab+b^{2}. Following this rule to expand it, we have:

(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}

16x^{2}y^{2}-144xy^{3}+324y^{4}

Applying common factor 4y^{2}:

4y^{2}(4x^{2}-36xy+81y^{2})

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to(2x-9y)^{2}. Hence, the final simplification is:

4y^{2}(2x-9y)^{2}

3 0
2 years ago
Which expression is equivalent to -8? A=-2^-3 B=(-1/2)^-3 C=(1/2)^-3 D=2^-3
sladkih [1.3K]

Answer:

The answer is option B.

Step-by-step explanation:

( -  \frac{1}{2} ) ^{ - 3}  = ( - 2) ^{3}  =  - 8

Hope this helps you

4 0
3 years ago
Read 2 more answers
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