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4 years ago

I NEED HELP EXPLAINING HOW I GOT MY ANSWER ILL GIVE 100 POINTS PLEASEEE?!?!?

Mathematics

1 answer:

attashe74 [19]4 years ago

6 0

Answer:

Step-by-step explanation:

S = 2πr² + 2πrh

<u>Move 2πr² to the left side of the equation</u>

That's

2πrh = S - 2πr²

<u>Divide both sides by 2πr to make h stand alone</u>

That's

We have the final answer as

Hope this helps you

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^5 square root x^4 times ^5 square root x^4

Alla [95]

Answer:

Do 5x5 4 times

Step-by-step explanation:

4 0

3 years ago

Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c/d). Find the value of c and the

bagirrra123 [75]

Answer:

$c = -6$

$d = -1$

Step-by-step explanation:

Given

See attachment for grid

Required

Find c and d

From the attachment, we have:

$a = (3,5)$ --- Point on A

$a' = (-3,-6)$ --- Corresponding point on B

When A is reflected across the x-axis, the rule is:

$(x,y) \to (x,-y)$

So, we have:

$(3,5) \to (3,-5)$

Next, is to calculate the translation from $(3,-5)$ to $(-3,-6)$

This is calculated using:

$3 + c = -3$

and

$-5 + d = -6$

So, we have:

$3 + c = -3$

$c = -3-3$

---- i.e. Shift by 6 units to the left

$-5 + d = -6$

$d = 5 - 6$

$d = -1$ --- i.e. Shift by 1 unit down

3 0

3 years ago

Compute the following volume and surface area.

Vesnalui [34]

The surface area of rectangular solid is 208 square centimeter

The volume of rectangular solid is 192 cubic centimeter

<h3><u>Solution:</u></h3>

Given that rectangular solid has sides of 4 cm, 6 cm, and 8 cm

To find: surface area and volume of rectangular solid

Length = l = 4 cm

Width = w = 6 cm

Height = h = 8 cm

<h3><em><u>The formula to find the surface area of a rectangular prism is:</u></em></h3>

Surface Area = 2wl + 2lh + 2hw

where w is the width, the l is the length, and the h is the height.

$\text {surface area }=2(4 \times 6)+2(4 \times 8)+2(8 \times 6)\\\\\text {surface area } = 2(24) + 2(32) + 2(48)\\\\\text {surface area } = 48 + 64 + 96 = 208$

Thus the surface area of rectangular solid is 208 square centimeter

<h3><em><u>The formula for volume of rectangular solid is:</u></em></h3>

$Volume = Length \times Height \times Width$

$volume = 4 \times 6 \times 8 = 24 \times 8 = 192$

Thus the volume of rectangular solid is 192 cubic centimeter

7 0

3 years ago

A construction company built a scale model of a new building. the model was built usinga scale of 3 inches= 32 feet. if the buil

Valentin [98]

Answer: 18.75 inches

Step-by-step explanation:

Let the height of the model be represented by x. Therefore, based on the information given in the question, we can form an equation which will be:

3/x = 32/200

Cross multiply

32 × x = 200 × 3

32x = 600

x = 600/32

x = 18.75

Therefore, the height of the model is 18.75 inches

5 0

3 years ago

Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

<u>the answer is</u>

the length of BD is 11.93 units

8 0

3 years ago

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