All categories

3 years ago

What is the area of the regular pentagon shown below? Round your answer to

Mathematics

2 answers:

inn [45]3 years ago

7 0

Answer:

C. 10 sq units

Step-by-step explanation:

A = (b*h)/2 Use this equation

A = (2.36*1.62)/2 Simplify

A = 3.8232/2 Divide

A = 1.9116*5 Multiply by the number of sides

A = 9.558 which is close to choice C

lianna [129]3 years ago

3 0

Answer:

C. 10 sq. units

Step-by-step explanation:

Area of a pentagon = 1/2 * apothem * perimeter

1/2*(1.62)(2.36*5)=0.81*11.8=9.558

Therefore, about 10 sq. units, or option C.

I hope this helped and have a good rest of your day!

You might be interested in

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

Can someone give me the answer

Lelechka [254]

Hi,

The answer is D, (y = 8x)

Hope this helps.
r3t40

5 0

3 years ago

Find AB I need help ASAP please

kykrilka [37]

Answer:

AB= 94

Step-by-step explanation:

43+43= 86

180-86= 94

6 0

3 years ago

a desert has both fruit and yogurt inside altogether the mass of the desert is 185g the ratio of the mass to fruit to the mass o

Studentka2010 [4]

Fruit : yoghurt : total
2 : 3 : 2 + 3
2 : 3 : 5

5 parts = 185
1 part = 185 ÷ 5 = 37
3 parts = 37 x 3 = 111g

The mass of the yoghurt is 111g

4 0

3 years ago

Read 2 more answers

Write an equation that represents the line use exact numbers

RSB [31]

Answer:

y = (-6/7)x - 1

Step-by-step explanation:

There's a dot where this line crosses the y-axis; it's represented by the point (0, -1). Consequently, the y-intercept, b, of this line is -1.

As x increases from -6 to 0, y decreases from 7 to -1. The change in x is 7 units and the change in y is -6 units. Thus, the slope of this line is

m = rise / run = -6 / 7.

Again, the y-intercept is b = -1.

Thus, inserting the knowns into the slope-intercept form of the equation of a straight line results in:

y = (-6/7)x - 1

3 0

3 years ago