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Alina [70]
3 years ago
9

Use a calculator to find angle theta for which tan theta = 2. Round to the nearest hundredth.

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

in degrees: theta = 63.43°

in radians: theta = 1.11 rad

Step-by-step explanation:

To find the value of the angle theta that gives us tan(theta) = 2, we should use the inverse function of the tangent in the calculator, that is, the arc tangent function.

Then, if we use the arc tangent function (in some calculators, it may be shown as 'atan' or 'tan^-1') in the value 2, we would find:

atan(2) = 63.435°

So the angle theta that gives us tan(theta) = 2 is theta = 63.43°.

Be sure to check in the calculator if the answer is given in degrees or radians.

In radians, we would find theta = 1.1071 rad (rounded to nearest hundredth: theta = 1.11 rad)

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Lady bird [3.3K]
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3 years ago
Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv
mojhsa [17]

Answer:

The inequality to show how many hours of television Julia can still watch this week can be given as:

⇒ x+1.5\leq 5

where x represents he number of hours of television that Julia can still watch this week

On solving for x, we get

x\leq3.5

Thus, Julia can still watch no more than 3.5 hours of television this week.

Step-by-step explanation:

Given:

Julia is allowed to watch television no more than 5 hours a week.

She has already watched 1.5 hours

To write and solve an inequality to show how many hours of television Julia can still watch this week.

Solution:

Let the number of hours of television that Julia can still watch this week be = x

Number of hours already watched = 1.5

Total number of hours of watching television this week would be given as:

⇒ x+1.5

It is given that Julia is allowed to watch no more than 5 hours of television in a week.

Thus, the inequality can be given as:

⇒ x+1.5\leq 5

Solving for x

Subtracting both sides by 1.5

x+1.5-1.5\leq 5-1.5

x\leq3.5

Thus, Julia can still watch no more than 3.5 hours of television this week.

6 0
3 years ago
Please solve the following problem
kirza4 [7]

Answer:

x = 27

Step-by-step explanation:

Given

\frac{x}{9} = 3

Multiply both sides by 9 to clear the fraction

x = 9 × 3 = 27

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4 years ago
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mestny [16]
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3 years ago
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madam [21]

Answer:

the second bag because the ratio is greater

Step-by-step explanation:

Bag1

fruits 3 : 5 nuts so 3+5=8 and 60/8=7.5 but 7.5*3=22.5

ratio is 3/5=0.428

Bag2

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ratio is 7/10=0.7

4 0
3 years ago
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