Find the length of the rectangle. A. 10 in. B. 20 in. C. 27 in. D 70 in.

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

6 0

10 in

This is a answer

chubhunter [2.5K]3 years ago

4 0

Answer:

length = 10 inches

Step-by-step explanation:

We know that the perimeter of a rectangle:

P = 2(L + W), where p= perimeter, L = length, W= width, so:

34 = 2(L + 7)

=> 34 = 2L + 14

=> 20 = 2L

=> 20/2 = L

=> 10 = L

Hope this helps!

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What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
$\implies (1-r)S=a(1-r^n)$
$\implies S=a=\dfrac{1-r^n}{1-r}$

Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

4 0

3 years ago

Read 2 more answers

Pls help me give u a brainlest

Ksivusya [100]

Answer:

1. 3375 ft cubed

2. 200 cm cubed

Step-by-step explanation:

btw in the image the shapes are not drawn to scale

:D brainliest?

4 0