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3 years ago

Vanessa tried to solve an equation step by step.

Mathematics

2 answers:

Masja [62]3 years ago

8 0

Answer:

I think you copied and pasted to much

Step-by-step explanation:

olchik [2.2K]3 years ago

5 0

I can’t read it and what’s the question

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NEED THE ANSWER QUICK

crimeas [40]

Answer:

30 x 5x

9x + 5y

8x+ 20y

Step-by-step explanation:

8 0

4 years ago

Pls solve for # 5-8 <br> Thanks

MatroZZZ [7]

2x - 3 = y
-3x + 5 = y
-4/5x -2 =y
1/2x + 9 = y

7 0

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

$Height = 12cm$

$Radius = 6cm$

3 0

3 years ago

a triangle has perimeter 38cm. a square has perimeter 48cm. two sides of the shapes are put together to make a pentagon. what is

melomori [17]

Answer:

perimeter of Pentagon is 62 CM

perimeter of triangle is equal to 38 CM

perimeter of square is equal to 48 CM

therefore perimeter of one side of square is 48 divided by 4 is equal to 12 CM

perimeter of Pentagon is 62 CM

5 0

3 years ago

Read 2 more answers

You know that 15% of a number n is 12. How can you use this to find 30% of n? 45% of n? Explain.

Keith_Richards [23]

30% is 24
45% is 36
take 15% and multiply it by however much it takes to make the percentage than multiply that by 12

5 0

3 years ago