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3 years ago

If ab = 20 cm and bc = 4 cm, then what are the possible lengths for ac so that ab, bc and ac can form a triangle?

1 answer:

3 0

16<ac<24
If it is less than 16 it will not form a triangle and if it is more than 24 the other two legs will not be larger than ac is.

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Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4

Roman55 [17]

$\bf \cfrac{1}{2}~~,~~\stackrel{2\cdot \frac{1}{2}}{1}~~,~~\stackrel{2\cdot 1}{2}~~,~~\stackrel{2\cdot 2}{4}~~,...$

so as you can see the common ratio is 2, and the first term is 1/2,

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}$

4 0

3 years ago

Read 2 more answers

Karonlina flips a coin 60 times. how many times would you expect it's to land heads up?

Novosadov [1.4K]

Answer:

30 times

Step-by-step explanation:

There's a 50% chance that they will get heads.

60 divided by 2 is 30

50% of 60 is 30

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3 years ago

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A motorboat left a harbor and traveled to an island at an average rate of 10 knots. The average speed on the return trip was 10

Illusion [34]

Answer:

A on edu2020

Step-by-step explanation:

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3 years ago

James has read 1/8 of a book eric has read 1/3 of the same book what fraction more of the book has eric read than james

BARSIC [14]

1/3 = 8/24

1/8 = 3/24

use 24 since it's the LCM of 8 and 3

8-3/24 = 5/24

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3 years ago

The distance to the nearest exit doir is no more than 150 feet. Use d to represent the distance in feet to the nearest exit door

il63 [147K]

Answer: $d\leq150$

Step-by-step explanation:

1. You have the following information given in the problem:

- The distance to the nearest exit door is no more than 150 feet.

- $d$ represents the distance to the nearest exit door, in feet.

2. Therefore, keeping the information above on mind, you know that the distance to the nearest exit door ( $d$ ) must be less than or equal to 150 feet, then, you can express this as following:

$d\leq150$

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3 years ago