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lora16 [44]
2 years ago
6

Consider this equation. cos(θ)= -3/10 If θis an angle in quadrant II, what is the value of tan (θ)?

Mathematics
1 answer:
Alja [10]2 years ago
7 0

Answer:

C)

Step-by-step explanation:

Trigonometry ratio:

         \sf Cos \ \theta = \dfrac{Adjacent \ side}{hypotenuse}=\dfrac{-3}{10}

We need to find the opposite side using Pythagorean theorem.

 opposite side² = hypotenuse² - adjacent side²

                           = 10² - (-3)²

                            = 100 - 9

                           = 91

opposite side    = √91

                 \sf tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}

                           \sf = \dfrac{\sqrt{91}}{3}

In quadrant II, value of tan \theta is negative.

              \sf tan \ \theta = -\dfrac{\sqrt{91}}{3}

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7 1/4 + 5 3/5= reduced to it's lowest form
Scrat [10]
7 1/4 + 5 3/5
First, you need a common denominator to add the two. 20 will work.
4x5=20, so we have to also multiply 1 by 5.
4x5=20, 1x5=5
5x4=20, so we have to also multiply 3 by 4.
5x4=20, 3x4=12
And now we put the fractions back in.
7 5/20 + 5 12/20
And add them.
7 5/20 + 5 12/20 = 12 17/20
Now, we're supposed to reduce it to its lowest form.
Unfortunately, the fraction cannot be reduced, because 17 is a prime number, meaning there are no factors to it except one and itself.
Therefore, the lowest form of 12 17/20 is 12 17/20
Your answer is B, 12 17/20
4 0
3 years ago
a population of size 2000 at time t equals​0, where t is measured in years. 1. Suppose Jonesville​'s population grows by 170 peo
galina1969 [7]

Answer:

1. a_n=a_1+(n-1)d

2.a_n =a_n_-_1+a_n_-_1(0.07)

Step-by-step explanation:

For case 2 the population grows by 170 per year. Therefore for year t=0 its 2000 and t=1 then the population is 2170 and t=2 population is 2340. We can express the sequence as:

a_n=a_1+(n-1)d

We know the difference is d=170 and n=1,2,3....:

Case two can be define by:

a_n

=a_n_-_1+a_n_-_1(0.07)

4 0
3 years ago
The total cost of an item is the price plus the sales tax.
Oxana [17]

Answer:

41.60

Step-by-step explanation:

4% of 40=1.6

40+1.6=41.6

7 0
3 years ago
Peter cuts lawns and makes $40 per lawn. He spends $10/day in work expenses. Write an equation in the form y = mx + b to represe
stepan [7]

Answer: y= 40x-10 , where = number of lawns.

Step-by-step explanation:

In linear equation y= mx+b with one variable x, m= slope , b= y-intercept.

[Slope rate of change of y with respect to x, y-intercept = initial value of y at x=0]

Given: Peter cuts lawns and makes $40 per lawn.

let x = number of lawns

i.e. slope = $40

He spends $10/day in work expenses.

i.e.  y-intercept = -10  [for each day]

So equation becomes : y= 40x-10 , where = number of lawns.

6 0
3 years ago
Find the values of x and y
Readme [11.4K]

y=5

x=30

Explanation: since all 3 angles of triangles are marked equal we can see that it is equilateral which means 8y=40 so y=5. Then we can find that the other triangle is an 120 30 30 triangle thus x is 30. You can also do this if you can see straight away that the big triangle is a 30-60-90 triangle and just use 90-60.

3 0
3 years ago
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