I need help with this pls! 15 points!

ryzh [129]

Answer:

9 + 3 + 1 + ......... = 13.5

Step-by-step explanation:

The series 9 + 3 + 1 + is the sum of an infinite geometric sequence. The first term of the series is 9 while the common ratio is 1/3;

to obtain the common ratio we obtain the quotient of any two successive terms, 3/9 or 1/3.

The sum of an infinite geometric series with first term a and common ratio r is given by;

$S_{n}=\frac{a}{1-r}$

Plug in the values of a and r into the formula;

$S_{n}=\frac{9}{1-\frac{1}{3} }\\\\\\S_{n}=\frac{27}{2}=13.5$

8 0

2 years ago

Okay can some one tell me where I am going wrong I don't understand how I am getting this wrong

Umnica [9.8K]

Answer:

p=28.2

Step-by-step explanation:

l=9.8

w=4.3

it was close tho

7 0

2 years ago

Read 2 more answers

express answer in exact form. Show all work for full credit. A segment of a circle has a 120 arc and a chord of 8 sq root 3. Fin

Anna35 [415]

Let $\alpha$ be the angle of an arc, $\alpha =120^{\circ},$ and r be the radius of the circle.

Then by the cosine rule,

$\text{chord}^2=r^2+r^2-2\cdot r\cdot r\cdot \cos \alpha,\\ \\(8\sqrt{3})^2=2r^2-2r^2\cdot \cos 120^{\circ}=2r^2-2r^2\cdot \left(-\dfrac{1}{2}\right)=3r^2,\\ \\192=3r^2,\\ \\r^2=64,\\ \\r=8\ un.$

1. Find the area of the sector. Since $\alpha =120^{\circ},$ then

$A_{sector}=\dfrac{\pi r^2}{3}=\dfrac{64\pi}{3}\ un^2.$

2. Find the area of the triangle formed by two radii and chord:

$A_{triangle}=\dfrac{1}{2}\cdot r\cdot r\cdot \sin \alpha=\dfrac{64}{2}\cdot \dfrac{\sqrt{3}}{2}=16\sqrt{3}\ un^2.$

3. The area of the segment is

$A_{segment}=A_{sector}-A_{triangle}=\dfrac{64\pi}{3}-16\sqrt{3}=\dfrac{64\pi-48\sqrt{3}}{3}\ un^2.$

Answer: $\dfrac{64\pi-48\sqrt{3}}{3}\ un^2.$

6 0

2 years ago

A board games game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5. Whi

Bess [88]

30 would be a reasonable estimate.

Since there are 5 sections, the probability of spinning a 5 is 1/5.

Multiply this probability by the number of spins (150):

1/5(150) = 150/5 = 30

7 0

2 years ago

Jennifer has $1200 to invest in an account paying 5% interest compound yearly?She plans to keep the money in the account for 6 y

Sauron [17]

Answer:

Jennifer will have $1608 in the account at the end of the 6th year.

Step-by-step explanation:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

$P = 1200, r = 0.05, t = 6, n = 1$

So

$A = P(1 + \frac{r}{n})^{nt}$

$A = 1200(1 + \frac{0.05}{1})^{1*6}$

$A = 1608$

Jennifer will have $1608 in the account at the end of the 6th year.

7 0

2 years ago