2 years ago

How do you find the length of both legs of a right triangle with only the hypotenuse

1 answer:

8 0

If you had the hypotenuse and one of the legs you could subtract the to using Pythagorean theorem. you cant answer the question unless you have another leg or a degree or a right triangle. <span />

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Which statement describes the graph of the number of apples in the bag?

Sophie [7]

Ello :) what was the answer? im taking this test ATM.

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3 years ago

Geometry an Isosceles triangle has at least two congruent sides the permitter of a certain isosceles triangle is at most 12 inch

salantis [7]

I believe that it’s 7 but I could be wrong

8 0

2 years ago

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

Given f (x) = 2x² +1evaluate f (-1).

soldi70 [24.7K]

Answer:

Step-by-step explanation:

f(x) = 2x^2 + 1

f(-1) means that wherever you see an x on the right hand side, you substitute -1.

f(-1) = 2(-1)^2 + 1 = 2 + 1 = 3

8 0

2 years ago