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photoshop1234 [79]
3 years ago
6

HELP ASAP!!!! WILL GIVE BRAINLIEST Factor 14f + 21 using the GCF

Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Answer:

7

Step-by-step explanation:

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ПОЖАЛУЙСТА ПОМОГИТЕ РЕШИТЬ ДАЮ 23 ОЧКА!!!
posledela

(Простите, пожалуйста, мой английский. Русский не мой родной язык. Надеюсь, у вас есть способ перевести это решение. Если нет, возможно, прилагаемое изображение объяснит достаточно.)

Use the shell method. Each shell has a height of 3 - 3/4 <em>y</em> ², radius <em>y</em>, and thickness ∆<em>y</em>, thus contributing an area of 2<em>π</em> <em>y</em> (3 - 3/4 <em>y</em> ²). The total volume of the solid is going to be the sum of infinitely many such shells with 0 ≤ <em>y</em> ≤ 2, thus given by the integral

\displaystyle 2\pi \int_0^2 y \left(3-\frac34 y^2\right) \,\mathrm dy = 2\pi \left(\frac32 y^2 - \frac3{16} y^4\right)\bigg|_0^2 = 6\pi

Or use the disk method. (In the attachment, assume the height is very small.) Each disk has a radius of √(4/3 <em>x</em>), thus contributing an area of <em>π</em> (√(4/3 <em>x</em>))² = 4<em>π</em>/3 <em>x</em>. The total volume of the solid is the sum of infinitely many such disks with 0 ≤ <em>x</em> ≤ 3, or by the integral

\displaystyle \pi \int_0^3 \left(\sqrt{\frac43x}\right)^2 \,\mathrm dx = \frac{2\pi}3 x^2\bigg|_0^3 = 6\pi

Using either method, the volume is 6<em>π</em> ≈ 18,85. I do not know why your textbook gives a solution of 90,43. Perhaps I've misunderstood what it is you're supposed to calculate? On the other hand, textbooks are known to have typographical errors from time to time...

8 0
3 years ago
Pls help!!<br>These two polygons are similar. 4 2 9 o 15​
lina2011 [118]

Answer:

z = 3

Step-by-step explanation:

Similar polygons have the ratio of their corresponding sides equal to each other. There:

9/z = 6/2

Cross multiply

z*6 = 9*2

6z = 18

z = 18/6

z = 3

3 0
3 years ago
Han's garden has an area of 193.75
ycow [4]

Answer:

15.5

Step-by-step explanation:

The equation to find area is Length × Width= Area

we have the area and the length, 12.5 × width= 293.75

to find the width, you will have to reverse engineer and divide the area by the length instead.

193.75 ÷ 12.5 =15.5

just to double check, 15.5 × 12.5 = 193.75

the width is 15.5

3 0
2 years ago
PLEASE HELP ASAP NO LINKS
marshall27 [118]

Answer:

105 11/12

Step-by-step explanation:

With mixed numbers you can also write them as functions so 5 11/12 could also be written as 5+11/12.

Once you have rewritten the mixed number it's simply a matter of addition: 100+5+11/12

8 0
2 years ago
Read 2 more answers
A trough is filled with water. The trough holds 315 gallons. Each cubic foot of water contains about 7.5 gallons. The trough is
elena55 [62]

Answer:

The height of the trough is about 1.5 ft

Step-by-step explanation:

If each cubic foot of water contains about 7.5 gallons.

Then; 315 gallons is about \frac{315}{7.5}=42ft^3

Let h be the height of the trough, then

7\times 4\times h=42

This implies that;

28h=42

Divide both sides by 28 to get:

h=\frac{42}{28}

\therefore h=1.5

The height of the trough is about 1.5 ft

4 0
3 years ago
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