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2 years ago

5

9.142142142… is an example of a decimal.

2 answers:

Tpy6a [65]2 years ago

4 0

True, as well as a repeating decimal.

Ivahew [28]2 years ago

3 0

True, it is an example of a decimal

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2/5 times 17<br> WHOEVER ANSWERS FIRST I GIVE BRAINY!

ikadub [295]

Answer:

6.8

Step-by-step explanation:

(2/5)*17

=6.8

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2 years ago

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Part b given the information found in part a, find the time t it takes to jane to transfer enough cranberry juice into the orang

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3 years ago

What is the second step when evaluating the expression 18 = (24 - 18) + 3-1?

djverab [1.8K]

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3 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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2 years ago

Write an inequality to model the solutions shown on the number line below.

DedPeter [7]

Answer:

X > 6

Step-by-step explanation:

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