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ella [17]
3 years ago
9

The prism has a width of 7 cm and a height of 8 cm. The volume of the prism is 1,120 cm3. Which is the length of the prism?

Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0

Length of prism is 20 cm

Step-by-step explanation:

Width of prism= 7 cm

Height of prism = 8 cm

Volume of prism = 1120 cm^3

Length of prism= ?

Considering it a rectangular prism

Formula used to find Volume of prism is:

Volume= Length*Width*Height

Now, finding Length:

Volume= Length*Width*Height\\1120=Length*7*8\\1120=Length*56\\Length=\frac{1120}{56}\\Length=20\,\,cm

So, Length of prism is 20 cm

Keywords: Volume of prism

Learn more about Volume of prism at:

  • brainly.com/question/3306327
  • brainly.com/question/4354581

#learnwithBrainly

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Sloan [31]

ANSWER

Option B

and

Option D.

EXPLANATION

The graph of the function has an amplitude of 2 and a period of

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Choose all the equation that has an amplitude of 2 and a period of

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These are:

y = 2 \sin3(x -  \frac{2\pi}{3} )

and

y = 2 \sin(3x)

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3 years ago
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A bank sampled its customers to determine the proportion of customers who use their debit card at least once each month. A sampl
Zinaida [17]

Answer:

(0.084,0.396)

Step-by-step explanation:

The 99% confidence interval for the proportion of customers who use debit card monthly can be constructed as

p-z_{\frac{\alpha }{2}} \sqrt{\frac{pq}{n} }

p=\frac{x}{n}

p=\frac{12}{50}

p=0.24

q=1-p=1-0.24=0.76

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p-z_{\frac{\alpha }{2}} \sqrt{\frac{pq}{n} }

0.24-z_{0.005} \sqrt{\frac{0.24*0.76}{50} }

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0.24-0.155832

By rounding to three decimal places we get,

0.084

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3 years ago
enelope determined the solutions of the quadratic function by completing the square. f(x) = 4x2 + 8x + 1 –1 = 4x2 + 8x –1 = 4(x2
Marat540 [252]
The correct question is
<span>Penelope determined the solutions of the quadratic function by completing the square.
f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?

we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
 4x² + 8x + 1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

 (4x² + 8x)=-1

Factor the leading coefficient 

 4*(x² + 2x)=-1

Complete the square Remember to balance the equation by adding the same constants to each side.

 4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)

Rewrite as perfect squares

4*(x+1)²=3

(x+1)²=3/4--------> (+/-)[x+1]=√3/2

(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2

(-)[x+1]=√3/2----> x2=(-2-√3)/2

therefore

the answer is

<span>Penelope should have added 4 to both sides instead of adding 1.</span>
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3 years ago
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Please help . I’ll mark you as brainliest if correct
Oxana [17]

Answer:

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Step-by-step explanation:

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Answer:

144 it is D

Step-by-step explanation:

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