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Gre4nikov [31]
2 years ago
10

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)

You might be interested in
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!

  • brainly.com/question/11957651

6 0
2 years ago
If you have five red balls and five blue balls in a jar what’s the probability of the first ball being red?
rosijanka [135]

Answer:

red balls = 5

blue balls = 5

total balls = 5 blue+5 red

= 10

p(first \: ball \: being \: red) =  \frac{red \: balls}{total \: balls}

p(first \: ball \: being \: red) =  \frac{5}{10}  =  \frac{1}{2}

8 0
3 years ago
Read 2 more answers
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