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Sophie [7]
3 years ago
10

Question 4 of 5

Mathematics
1 answer:
eduard3 years ago
4 0

Answer:

4x -5)(16x² +20x +25)

Step-by-step explanation:

The factoring of the difference of cubes has a standard form:

  a³ -b³ = (a -b)(a² +ab +b²)

Here, your knowledge of the cubes of small integers tells you that ...

  64 = 4³

  125 = 5³

So, in the above, we have

a = 4x, b = 5

and the factored form is  

(4x -5)(16x² +20x +25)

<h2>Please mark me as brainliest</h2>

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Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.
Ostrovityanka [42]

Answer:

1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula:

V=\pi r^{2}h\\V=volume\\r=radius\\h=height

Now, you plug in and solve.

V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6

Then, you find the volume of the dome.

Here's the formula:

volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius

Now, you just plug in and solve.

V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2

Finally, you add them together, and there's your answer!

1204.6+781.2=1985.8

Hope this helped!

<em>brainliest?</em>

8 0
3 years ago
Solve the equation by completing the square
vovikov84 [41]
You solve by useing the formula (b/2) ^2
And your answer is x= 3,1
4 0
3 years ago
an insulated tote bag has a volume of 972 cubic inches. if the base of the tote bag is a square with an area of 81 square inches
xxMikexx [17]

Answer: The height is 12 inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume: area x height

Replacing with the values given:

972 cubic inches = 81 square inches x h

Solving for h (height)

972/81 = h

12 inches =h

The height is 12 inches.

Feel free to ask for more if needed or if you did not understand something.

3 0
3 years ago
Beth has $300 in her bank account. She buys x shirts for $20 each what is an inequality Beth can use to find how many shirts she
Thepotemich [5.8K]
It will have to be 10
7 0
3 years ago
At the beginning of year 1, Amanda invests $800 at an annual compound interest rate of 5%. She makes no deposits or withdrawals
VARVARA [1.3K]

Answer:

its A my guy did it on apex 972.41

Step-by-step explanation:

8 0
3 years ago
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