Answer:
<h2>The two geometric means between 20 and 2500 are <em>
100 and 500.</em></h2>
Step-by-step explanation:
First of all we all should know about a <em>geometric progression </em>to solve this question.
A geometric progression is a series in which there is a first term <em>a </em>and all the next terms are calculated by multiplying the previous term by a common number <em>r</em>.
where <em>a</em> is known as first term and
<em>r</em> is known as common ratio.
In the question we are given <em>a </em>as 20 and we have to find out 2 terms after 20 and 4th term is given as 2500.
Formula for
term in a geometric progression is:

Here
= 2500
As per formula of
term:

Now, 2nd term:
Now, 3rd term:

So, the two geometric means between 20 and 2500 are <em>100 and 500</em>.
(3x^4)^2 = (3^2)*(x^4)^2 = 9*(x^(4*2)) = 9*x^8 . . . . . the 3rd selection
GiveN:
- ABCD is a parallelogram.
- AC and BD are the diagonals.
- DE = 28 units
To FinD:
- Value of x in length of BE?
Step-wise-Step Explanation:
We know that
In any parallelogram, the diagonals (lines linking opposite corners) bisect each other. Then, AE = EC for diagonal AC and BE = DE for diagonal BD.
⇒ BE = DE
⇒ x - 4 = 28 units
⇒ x = 32 units
Hence, The required value of x here is <u>3</u><u>2</u><u> </u><u>units</u><u>.</u>
Answer:
2 sessions, $231
Step-by-step explanation:
Make an equation (let x represent the number of sessions)
59+86x=63+84x
Subtract 84x from both sides
59+2x=63
Subtract 59 from both sides
2x=4
Divide by 2
x=2
At 2 sessions they will be equal
To find the cost, substitute 2 in for x
59+86(2)=63+84(2)
59+172=63+168
231=231
So, at 2 sessions the plans will cost the same at $231
Hope this helps! :)
the change in the scale factor is
.Correct option C) StartFraction 45 feet over 40 feet EndFraction
<u>Step-by-step explanation:</u>
Here we have , Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width of 5 inches. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. We need to find Which expression finds the change in the scale factor . Let's find out:
Initially the ratio of width to actual width is :
⇒ 
Now , After 45 ft is changed to 40 ft , New ratio becomes :
⇒ 
So , change in scale factor is from
to
i.e.
⇒ 
⇒ 
⇒ 
Therefore , the change in the scale factor is
.Correct option C) StartFraction 45 feet over 40 feet EndFraction