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3 years ago

Can someone help me with these 2?

Mathematics

1 answer:

pochemuha3 years ago

7 0

Answer:

so this one could be a little tricky to understand over the computer.Im going to try my best though.

Step-by-step explanation:

Its hard to explain how i got the answer.

im not going to try and do it.

7-5

8-2.5

really hope this helps. :)

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The third, fifth and eighth terms of an AP are the first 3 consecutive terms of a GP. Given that the first term of the AP is 8,

Damm [24]

Answer:

The common difference = 2.

Step-by-step explanation:

An AP can be written as a1, a1 + d, a1 + 2d, a1 + 3d, a1 + 4d, a1 + 5d, a1 + 6d , a1 + 7d.

where a1 = first term and d is the common difference.

Here first term = a1 = 8

3rd term = a1 + 2d = 8 + 2d

5th term = a1 + 4d = 8 + 4d

8th term = 8 + 7d

First 3 terms of a GP are a , ar and ar^2

So from the given information:

a = 8 + 2d

ar = 8 + 4d

ar^2= 8 + 7d

Dividing the second equation by the first we have

r = (8 + 4d)/(8 + 2d)

Dividing the third by the second:

r = (8 + 7d) / (8 + 4d)

Therefore, eliminating r we have:

(8 + 4d)/(8 + 2d) = (8 + 7d)/(8 + 4d)

(8 + 4d)^2 = (8 + 2d)(8 + 7d)

64 + 64d + 16d^2 = 64 + 72d^ + 14d^2

2d^2 - 8d = 0

2d(d^2 - 4) = 0

2d = 0 or d^2 = 4, so

d = 0, 2.

The common difference can't be zero so it must be 2.

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3 years ago

Kevin correctly answered 75% of 32 test questions. How many questions did Kevin answer correctly? How many more questions would

11Alexandr11 [23.1K]

Answer:

At least 26 questions to get around an 82% not 25 because that equals 78%

Step-by-step explanation:

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3 years ago

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An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?

olga2289 [7]

Draw a right triangle ABC, with m(CAB)=∅.

Let CB=7 units, AC=8 units, so by the Pythagorean theorem:

$AB= \sqrt{ AC^{2} - BC^{2} }= \sqrt{ 8^{2} - 7^{2} }= \sqrt{64-49} = \sqrt{15}$ (units)

so we have drawn a triangle where sin∅=7/8

in this triangle, cot∅=(adjacent side)/(opposite side)= $\frac{ \sqrt{15} }{7}$

Answer: <span>square root of fifteen divided by seven</span>

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Solve for x. Round all answers to the nearest tenth

marshall27 [118]

Answer: 42

Step-by-step explanation:

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Write a rule describing the translation below

CaHeK987 [17]

Answer:

d=e

Step-by-step explanation:

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