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3 years ago

8

I WILL MARK U BRAINLIEST IF U DO THIS CORRECTLY!!!!!! ATTACHMENT BELOW

1 answer:

Art [367]3 years ago

8 0

Answer:

210

Step-by-step explanation:

If each floor was 14 ft, and they want 15 floors, you would do 14 x 15, which equals 210

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find a number such that 8 times the number is 36 greater than the opposite of the number. Explain also please. ♥

lukranit [14]

Let's turn this sentence into an equation:

8n = -n + 36

Then solve:

9n = 36 => n=4

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4 years ago

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Non example of complex fraction.

Law Incorporation [45]

Answer:

42/6

Step-by-step explanation:

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What is (6x4 - 7x3 - 153x2 + 175x + 75) divided by (x + 5)?

Vinil7 [7]

We can do this by using either long division or synthetic. I will use synthetic because it saves time. 6x^3-37x^2+32^x+15.

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4 years ago

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

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3 years ago

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mote1985 [20]

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