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2 years ago

given sin0= 2/3 and angle 0 is in quadrant 2, what is the exact value of cos0 in simplest form? simplify all radicals if needed

Mathematics

1 answer:

Kitty [74]2 years ago

4 0

Answer: ( - $\sqrt{5}$ / 3)

Step-by-step explanation:

sin(angle) = opposite/hypotenuse

opposite =2

hypotenuse = 3

solve for adjacent side with pythagorean theorum

opposite^2 + adjacent^2 = hypotenuse^2

2^2 + adjacent^2 = 3^2

4 + adjacent^2 = 9

adjacent^2 = 9 - 4

adjacent^2 = 5

adjacent = $\sqrt{5}$

- $\sqrt{5}$ since it is in the second quadrant

cosx = (adjacent/hypotenuse)

cosx = (- $\sqrt{5}$ /3)

(- $\sqrt{5}$ /3)

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Is y=0.5x + 2 a linear function

Leno4ka [110]

To rephrase your question,

Does $y=0.5+2$ hold the form of $y=mx+n$ ?

The answer is <em>yes</em>.

Hope this helps.

Note:

Pedantic answer should be considered. In the above answer $y = \dots$ is not a function but rather an equation of a line.

3 0

3 years ago

Find the number that makes the ratio equivalent to 3:8 6:_

erik [133]

Answer:

6:16

Step-by-step explanation:

To find the answer you do 3x_=6 which the missing number is 2, so you do 8x2=16 because whatever you multiply the first number by you have to do the same to the second number in fractions, ratios, etc.

5 0

2 years ago

3) The line that models the data in the scatter plot below is given by the

rusak2 [61]

Using the given linear function, it is found that the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

In this problem:

x represents the number of traffic tickets.

y represents the cost of car insurance.

The function is:

$y = 73x + 146.53$

Hence the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.

You can learn more about linear functions at brainly.com/question/25823744

4 0

2 years ago

Find the perimeter of the figure below. Notice that one side length is not given.

olganol [36]

Answer:

48 cm

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of its sides.

Find the length of the unknown side

Let the unknown length be x cm.

Notice that the sum of the lengths of the unknown side and the side measuring 5 cm I equal to the length of the side measuring 9 cm.

x +5= 9

<em>Subtracting 5 from both sides:</em>

x= 9 -5

x= 4

Add up the lengths of all of the sides to find the perimeter. I will add the lengths starting from the side measuring x cm (or 4 cm), and sum them up in a clockwise manner. This ensures that none of the sides are overlooked.

Perimeter of the figure

= 4 +15 +9 +7 +5 +8

= 48 cm

Additional:

For more about perimeter of figures, do check out the following!