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3 years ago

11

GEOMETRY SIDE LENGTHS

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Answer:

I believe that the third answer is correct..... but I'm not positive.

Step-by-step explanation:

if you get the third side of the triangle to be 71 then it would go first. Then it would go to 45-55. And lastly to 71-45

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Write a number that is greater than 8.604 but less than 8.643

Aliun [14]

8.605
This number is bigger than 6.604 and it is smaller than 8.643
:)

6 0

3 years ago

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The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.

Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

Sum of first n terms of a GP is

$S_n=\dfrac{a(1-r^n)}{1-r}$ ...(i)

Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

$6=\dfrac{a(1-r)(1+r)}{1-r}$

$6=a(1+r)$ ...(ii)

Putting n=4, we get

$S_4=\dfrac{a(1-r^4)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

$\dfrac{15}{2}=6(1+r^2)$ (Using (ii))

Divide both sides by 6.

$\dfrac{15}{12}=(1+r^2)$

$\dfrac{5}{4}-1=r^2$

$\dfrac{5-4}{4}=r^2$

$\dfrac{1}{4}=r^2$

Taking square root on both sides, we get

$\pm \sqrt{\dfrac{1}{4}}=r$

$\pm \dfrac{1}{2}=r$

$\pm 0.5=r$

Case 1: If r is positive, then using (ii) we get

$6=a(1+0.5)$

$6=a(1.5)$

$\dfrac{6}{1.5}=a$

$4=a$

The sum of first 6 terms is

$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

$S_6=\dfrac{4(1-0.015625)}{0.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

$12=a$

The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

5 0

3 years ago

Question c please, it’s about probabilities. i attached photo

Reil [10]

Answer:

200

Step-by-step explanation:

Assuming all of the pie chart sections are equal.

There are 5 equal sections so divide the 1000 spins by 5 and you get 200

6 0

3 years ago

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Use the drawing tool(s) to form the correct answer on the provided number line.

blagie [28]

Answer:

see below

Step-by-step explanation:

Eric will drive between 70 -4 = 66 mph and 70+4 = 74 mph. He will <em>not</em> drive less than 66 or more than 74 mph.

5 0

3 years ago

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How many atoms of each elementare in the chemical formula NH.NOS?

dalvyx [7]

Answer:

There are 2 nitrogen, 4 hydrogen, and 3 oxygen atoms in the chemical formula for ammonium nitrate.

Step-by-step explanation:

5 0

3 years ago

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