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2 years ago

Find the product. (3x^2+7)(6x^2−4x+5)

Mathematics

2 answers:

Lapatulllka [165]2 years ago

7 0

Answer:

18x^4 − 12x^3 + 57x^2 − 28x + 35

Gelneren [198K]2 years ago

4 0

Answer:1

−

Step-by-

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Pls help (50 points)

svetlana [45]

Answer:

4.5 inches

Step-by-step explanation:

We are given the formula:

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

Plug in the the radius (3) and volume (127.23):

127.23 = $3.14(3)^{2} h$

Square the 3 :

127.23 = $3.14(9)h$

Multiply the pi & volume:

127.23 = 28.26h

Divide both sides by 28.26:

127.23 ÷ 28.26 = 28.26h ÷ 28.26

h = 4.5021231...

I hope this helps!

6 0

3 years ago

Read 2 more answers

Using the circle below, determine the coordinates of the center and the length of the radius.

iogann1982 [59]

Answer:

Center (-2, 1), Radius 3

What is the distance from the midpoint of the circle to a point on the circle? It is 3 and not 9.

7 0

3 years ago

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

3 years ago

A water tank is in the shape of a right circular Austin simulato water tank is in the shape of a right circular Cylinder with a

Burka [1]

⓵ To calculate the volume of a right circular cylinder, the formula is π times the radius of the circular base² time the height of the cylinder.

⓶ Now that we know that the equation to calculate the volume of a right circular cylinder is :

V = π x (r²) x h

You need to find the numbers to replace the volume (V) and the height (h) in the formula.

We already know that the volume is 320 square feet and that the height is 20 feet.

So we are left with a formula looking like this :

320 = π x (r²) x 20

⓷ Now we need to find the radius of the circular base! To do so, you need to solve this equation and isolate the “r”. Start by simplifying the right side :

320 = π x (r²) x 20
÷20 ÷20

↓

16 = π x r²
÷π ÷π

↓

5,09 ⋍ r²
√ √

↓

2,26 feet ⋍ r

⓸ Now that we knoe the value of the radius of the circular base, all there’s left to do is multiply this number by two in order to find the diameter of the water tank :

2,26 x 2 = d

↓

4,51 feet ⋍ d

So your final answer is : the diameter of the water tank is about 4,51 feet.

** Since I devided by “π”, all the answers I wrote from that point are rounded to the nearest hundredths just to make things easier to visualize, but I kept all of the decimals when doing the calculations. So it is possible that your answer might differ slightly from mine if you use the rounded numbers to calculate everything. Just keep that in mind!

I hope this helped, if there’s anything just let me know! ☻

4 0

3 years ago

-40 represents the height of a subway 40 feet below ground level. 40 represents the height of a kite 40 feet above ground level

Sveta_85 [38]

Answer:

0 represents the ground level

4 0

2 years ago