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3 years ago

13

I need help with number 3

1 answer:

Marizza181 [45]3 years ago

8 0

Area of circle = pi r^2 = 78.54
r^2 = 78.54 / pi = 25
r = 5 inches

Each line from centre of the circle to a point on the hexagon = 5 ins

so consider one of the 6 congruent triangles formed from these lines:-
Vertex angle = 60 degrees

sin 30 = 0.5s / 5 (where s = one side of the hexagon).
0.5s = 5*0.5 = 2.5
s = 2.5 / 0.5 = 5

So the perimeter of the hexagon is 6*5 = 30 inches

You might be interested in

Divide 120 in the ratio of 1:2

antiseptic1488 [7]

Ratio given 1:2

Let's suppose the ratio as x : 2x

Adding the ratio = 3x

$\frac{x}{3x} \times 120 \\ =40$

$\frac{2x}{3x} \times 120 \\= 80$

40 and 80 are in the ratio 1:2 of 120.

Hope it helps!!!

7 0

3 years ago

Read 2 more answers

There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the

galina1969 [7]

Answer:

The rate of change or slope m = -50

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m = -50

<u>EXTRA BONUS!</u>

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

$y = mx+b$

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

3 0

2 years ago

Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note

Viktor [21]

a. Recall that

$\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C$

For $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

By integrating both sides, we get

$\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

If $x=0$ , then

$\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0$

so that

$\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

We can shift the index to simplify the sum slightly.

$\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n$

b. The power series for $x\ln(1-x)$ can be obtained simply by multiplying both sides of the series above by $x$ .

$\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n$

c. We have

$\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)$

$\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}$

4 0

3 years ago

ITS ME AGAIN AND I NEED HELP AGAIN PLZ AND THX

zysi [14]

Answer:

$44.10

Step-by-step explanation:

$8.40÷2= $4.20 for 1 pound of ground beef

so:

10.5 x $4.20= $44.10

hope that helped :)

3 0

2 years ago

a force of 50 pounds stretches a spring 4 inches. how much force is required to stretch the spring 10 inches?

-BARSIC- [3]

Answer:

125 pounds

50/4 = 12.5 pounds stretches a spring to 1 inch

12.5x10=125 pounds of force

3 0

1 year ago