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Alja [10]
3 years ago
15

If θ is an angle in standard position and its terminal side passes through the point (-3,4), find the exact value of tanθ in sim

plest radical form.
Mathematics
1 answer:
Dominik [7]3 years ago
3 0

Answer:

so x = 20 , y = -21 , which is in quad IV

r^2= 400+441 = 841

r = √841 = 29

then cos Ø = 20/29

sec Ø = 29/20 = 1.45

Step-by-step explanation:

please give brainliest

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A population of 130,000 grows 4% per year for 16 years.
alexgriva [62]

Let's consider the scenario after each year:

After the zeroth year, the population is: 120 000(1 + 0.04)⁰

After the first year, the population is: 120 000(1 + 0.04)¹

After the second year, the population is: 120 000(1 + 0.04)²

...

Thus, we can find the general rule:

After the nth year, the population is: 120 000(1 + 0.04)ⁿ

And after the 16th year, the population is 120 000(1 + 0.04)¹⁶ = 224 758 (rounded to nearest whole number)

6 0
3 years ago
Setting 7/3 equal to which ratio would result in a valid proportion? 9/49 18/42 42/18 49/9<br>​
Vinvika [58]
49/9 because if you simplify it, it would be 7/3 which is equal to the original ratio.
5 0
3 years ago
A researcher asks participants to taste each of three meals and to choose the one they like best. The same foods are in each mea
Margarita [4]

Answer:

D. All of the above

Step-by-step explanation:

By the given data, some persons were in the experiment and each of them was given with three meals, Low Calorie, Moderate Calorie and High Calorie. They results for the meal they liked is as below:

Low Calorie Meal got likes = 6

Moderate Calorie Meal got likes = 7

High Calorie Meal got likes = 17

so,

Option A is correct as High Calorie meal got 17 likes while Low Calorie meal got 6 likes.

Option B is also correct as Low Calorie meal got 6 likes while Moderate Calorie meal got 7 likes.

Option C is correct too as High Calorie meal got largest number of likes even more than the double of Low calorie and Moderate calorie meal so it was more than expected.

3 0
3 years ago
If f(x) = 2x + 1 and g(x) = f(x) + 3,<br> what would be the function of g(x)?
Maslowich

f(x) = 2x + 1 and g(x) = f(x) + 3

g(x) = 2x + 1 + 3

<h2><u>g(x) = 2x + 4</u></h2>
3 0
3 years ago
A direct variation passes through the point (-3,9) given y varies directly as x find the value of y when x is 2
frutty [35]

Answer:

<em>y=-6</em>

Step-by-step explanation:

<u>Proportions</u>

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

y = kx

Where k is the constant of proportionality.

Substituting x=-3 y=9:

9 = k(-3)

k=\frac{9}{-3}=-3

Now the relationship is:

y = -3x

For x=2

y = -3(2) = -6

5 0
3 years ago
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