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Bezzdna [24]
3 years ago
15

· The angles of a pentagon are in the ratio4:8 : 6 : 4 : 5. Find each angle of thepentagon​

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

Answer:

540 degrees in a pentagon

4 + 8 + 6 + 4 + 5 = 27

540/27 = 20

4 X 20 = 80 degrees

8 X 20 = 160 degrees

6 X 20 = 120 degrees

4 X 20 = 80 degrees

5 X 20 = 100 degrees

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Find a solution to the following initial-value problem: dy dx = y(y − 2)e x , y (0) = 1.
Veseljchak [2.6K]

This equation is separable, as

\dfrac{\mathrm dy}{\mathrm dx}=y(y-2)e^x\implies\dfrac{\mathrm dy}{y(y-2)}=e^x\,\mathrm dx

Integrate both sides; on the left, expand the fraction as

\dfrac1{y(y-2)}=\dfrac12\left(\dfrac1{y-2}-\dfrac1y\right)

Then

\displaystyle\int\frac{\mathrm dy}{y(y-2)}=\int e^x\,\mathrm dx\implies\frac12(\ln|y-2|-\ln|y|)=e^x+C

\implies\dfrac12\ln\left|\dfrac{y-2}y\right|=e^x+C

Since y(0)=1, we get

\dfrac12\ln\left|\dfrac{1-2}1\right|=e^0+C\implies C=-1

so that the particular solution is

\dfrac12\ln\left|\dfrac{y-2}y\right|=e^x-1\implies\boxed{y=\dfrac2{1-e^{2e^x-2}}}

4 0
3 years ago
How do you find the area of this problem ​
Agata [3.3K]

Answer: 240

Step-by-step explanation:

You would multiply each of the sides to get the final answer of 240 (:

5 0
3 years ago
Use multiplication to find three equivalent ratios<br> 11 : 9
dlinn [17]

11 : 9

×2 ×2

22 : 18

11 : 9

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5 0
3 years ago
Express the product in simplest form.
Dmitry [639]

The product in simplest form is (x - 4)

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

\frac{8}{2x+8} \times \frac{x^2-16}{4}

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

a^2-b^2=(a+b)(a-b)

Therefore,

x^2-16 = x^2-4^2 =(x+4)(x-4)

Substitute these in given expression

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}

Cancel the common factors,

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4

Thus the product in simplest form is (x - 4)

8 0
3 years ago
A sector of a circle has a central angle to 10° and arc length 28 pi units what is the radius of the circle
Dennis_Churaev [7]

Answer:

Radius = 504units

Step-by-step explanation:

Angle = 10°

Length of arc = 28π units

L = ∅/360 × 2πr

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28π = 1/36 × 2πr

2πr = 28π × 36

π cancelled off.......

2r = 28 × 36

r = (28 × 36)/2

r = 28 × 18

r = 504units

8 0
3 years ago
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