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True [87]
3 years ago
12

Evaluate cos0 if sin0= 5/3​

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

cos0 = 4/3

Step-by-step explanation:

If sin0 = 5/3 then cos0 = 4/3

Sin is opposite/hypotenuse or 5/3.

Cos is adjacent/hypotenuse or 4/3

I found 4 because of Pythagorean Theorem on the triangle, which is known as a 345 triangle.

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Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.
ch4aika [34]

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

- 6 = - 6 + c

c = - 6 + 6 = 0

The equation becomes

y = 2x

7 0
3 years ago
the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes how much time do we have before it is 100% l
olasank [31]

Answer:

You will have 40 mins before 100%

Step-by-step explanation:

4 0
3 years ago
The only coins that kyle has are dimes and quarters. He has a total of 30 coins. The toal value of Kyles coins is $4.80. Which o
Olenka [21]

For this case, the first thing we must do is define variables.

We have then:

d: number of dimes

q: number of quarters

We now write the system of equations that models the problem.

We have then:

He has a total of 30 coins:

 d + q = 30

The toal value of Kyles coins is $ 4.80:

0.1d + 0.25q = 4.80

Answer:

A system of equations that can be used to find the number of dimes, d, and the number of quarters, q, kyes has is:  

d + q = 30

0.1d + 0.25q = 4.80

3 0
3 years ago
Read 2 more answers
Josephine left home traveling at 25 mph. One hour later her friend, Steve, leaves from the same place and travels the same road
DiKsa [7]

Answer:

1 hour

Step-by-step explanation:

J = 50 mph by 2 hours

S = 50 mph by 1 hour

2-1 = 1

4 0
3 years ago
The coordinate of the vertices of parallelogram CDEH are C(-5,5), D(2,5), E(-1,-1), and H(-8,-1). What are the coordinates of P,
d1i1m1o1n [39]

Given:

Vertices of a parallelogram are C(-5,5), D(2,5), E(-1,-1), and H(-8,-1).

P is the intersection point of diagonals CE and DH.

To find:

The coordinates of P.

Solution:

We know that, diagonals of a parallelogram always bisect each other. It means the intersection point of the diagonal is the midpoint point of both diagonals.

We can find the midpoint of either diagonal CE or diagonal DH to get the coordinates of intersection point of diagonals, i.e. P.

So, point P is midpoint of CE. So,

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

P=\left(\dfrac{-5+(-1)}{2},\dfrac{5+(-1)}{2}\right)

P=\left(\dfrac{-5-1}{2},\dfrac{5-1}{2}\right)

P=\left(\dfrac{-6}{2},\dfrac{4}{2}\right)

P=\left(-3,2\right)

Therefore, the coordinates of point P are (-3,2).

7 0
3 years ago
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