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3 years ago

Find the area of a circle with radius 6 m.

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

3 0

The right answer is 113.04m^2

please see the attached picture for full solution

Hope it helps

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A portion of a map with cities a and b is shown.The map uses a scale of 1 inch to 30 miles. A new map has a scale of 2 inches=15

Alina [70]

Answer:

22.5miles

Step-by-step explanation:

For Map 1;

1 inches = 30miles

For Map 2:

2 inches = 15miles

1 inches = x

2x = 1 *15

x = 15/2

x = 7.5miles

This means that 1 inch represents 7.5miles on Map 2'

The distance between the two cities in miles = 30miles - 7.5miles

The distance between the two cities (in miles) = 22.5miles

3 0

2 years ago

Can anyone please help me with 1-18

ruslelena [56]

Answer:

a. 15 on top 8 on bottom

b. 2 on top -3 on bottom

c. 4 and 2

d. 4 on top 8.5 on bottom

e. -3 and -4

Step-by-step explanation:

multiply the two numbers on the sides to get the top answer and add them together to get the bottom answer.

6 0

3 years ago

What is the slope intercept form of the equation of this line

Nikitich [7]

Answer:

The equation is y=-5+3

4 0

3 years ago

Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

3 years ago

Solve for x. x = 5° x = 18° x = 30° x = 36°

sergij07 [2.7K]

Answer:

x=36

Step-by-step explanation:

The 2 angles, ∠EAF and ∠FAB are on a straight line. This means they are supplementary, and add to 180 degrees.

So,

∠EAF +∠FAB =180

We know that ∠EAF is 3x and ∠FAB is 2x, so we can substitute them in

3x+2x=180

Combine like terms

5x=180

Divide by 5 on both sides

x=36

So, x=36 degrees, or the last choice

3 0

3 years ago