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3 years ago

If sin x = .42, what is cos x?

1 answer:

3 0

$We\ know:\\\\\sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\to\cos x=\sqrt{1-\sin^2x}\\\\\sin x=0.42\\subtitute\\\\\cos x=\sqrt{1-0.42^2}=\sqrt{1-0.1764}=\sqrt{0.8236}\approx0.91$

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For a sequence defined by f(1)=13 and 2f(n-1)+(n-2), which of the following is the value of f(4)

densk [106]

Given that:
f(1)=13 and 2f(n-1)+(n-2)
then:
f(4) will be found as follows:
f(2)=2f(2-1)=2f(1)=2*13=26
f(3)=2f(3-1)+(3-2)=2f(2)+1=2*26+1=53
f(4)=2f(4-1)+(4-2)=2f(3)+(4-2)=2(53)+2=108

Thus:
Answer:(3) 108

6 0

3 years ago

(b) Carlos removed 56 fish from his pond over a period of 7 days. He removed the same number

Pavlova-9 [17]

Well supposing that you want all fish gone -

The answer would be 8

56 (divided) 7 = 8
Day 1 - 48
Day 2 - 40
Day 3 - 32
Day 4 - 24
Day 5 - 16
Day 6 - 8
Day 7 - 0

Hope this was what you were looking for :)

6 0

3 years ago

Need help with this trigonometry word problem

creativ13 [48]

The distance between the tree and the tower is 30√3m.

Justification:

Let the situation be in a right angleABC form as shown in attached figure.

Given the height of the tower is 30m and the angle of depression to the base of the tree measure 30°.

So, In ΔABC

tanθ = p/b

tan30° = 30/BC

1/√3 = 30/BC

BC = 30√3m.

6 0

3 years ago

Read 2 more answers

3x - 5y = 15 y = 2x + 4 What is the solution order pair

laila [671]

It is (-2, -3) im thinking not sure

6 0

3 years ago

Researches notice a grey whale cruising at a depth of 233 feet below sea level. It rises 73 feet and then comes up another 40 fe

musickatia [10]

Answer:

The whale is at a depth 120 feet below the sea level.

Step-by-step explanation:

A grey whale is cruising at a depth of 233 feet below sea level. The depth below the sea level has the negative position, thus the initial position of the whale is -233.

It rises 73 feet, the position of the whale becomes 73 feet higher. This means we should add 73.

Then it comes up another 40 feet, so we need to add 40.

Mathematically,

$-233+73+40=-160+40=-120$

The whale is at a depth 120 feet below the sea level.

3 0

3 years ago