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3 years ago

What is the measure of angle x , rounded to the nearest hundredth?

Mathematics

2 answers:

rosijanka [135]3 years ago

5 0

Answer:

The correct answer is option 1

23.96°

Step-by-step explanation:

Tan ∅ = Opposite side/Adjacent side

From the given figure we can see that it is a right angled triangle.

<u>To find the value of x </u>

Tan ∅ = Opposite side/Adjacent side

Opposite side = 4

Adjacent side = 9

Tan x = 4/9 = 0.4444

x = tan⁻¹ (0.4444) = 23.9624 ≈ 23.96°

Therefore the correct answer is first option.

23.96°

adelina 88 [10]3 years ago

4 0

Answer:

Choice A is the correct.

Step-by-step explanation:

We have given the triangle.

We have to the angle x shown in the figure.

As it is a right angled triangle so the base and perpendicular are given.

As we know that tanФ= perpendicular/base

Putting the values in the formula we get,

tan x= 4/9

x = tan⁻¹(4/9)

x = tan⁻¹ (0.4444)

x = 23.96⁰ is the angle.

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Step-by-step explanation:

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3 years ago

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3 years ago

From 1960 to 2010, a certain money stock measure was growing at the rate of approximately 43e(1/2)x billion dollars per decade,

natulia [17]

Answer:

1222 billion dollars.

Step-by-step explanation:

To find the total increase from 1960 to 2010, we need to find the growth of each decade and sum them all:

In the period 1960-1970, we have x = 1, and the growth is:

$y(1) = 43e(1/2) = 70.895$

In the period 1970-1980, we have x = 2, and the growth is:

$y(2) = 43e(2/2) = 116.8861$

The growth in the following 3 periods are:

$y(3) = 43e(3/2) =192.7126$

$y(4) = 43e(4/2) = 317.7294$

$y(5) = 43e(5/2) =523.8472$

So the total growth in the period 1960 - 2010 is:

$Total = y(1) + y(2) + y(3) + y(4) + y(5)$

$Total = 70.895 + 116.8861+192.726+317.7294+523.8472$

$Total = 1222.08\ billion\ dollars$

Rounding to the nearest billion dollars, we have a total of 1222 billion dollars.

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3 years ago

Is x/10=y a direct variation. If so, what is the constant of proportionality?

stiv31 [10]

Answer:

Yes,

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Element X decays radioactively with a half life of 15 minutes. If there are 340 grams of Element X, how long, to the nearest ten

NikAS [45]

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i used a calculator.

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2 years ago