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3 years ago

For which value of Theta is tan Theta equal to sin Theta?A. piB. pi/2C. pi/4D. pi/6

Mathematics

1 answer:

AnnyKZ [126]3 years ago

7 0

Answer:

a. pi

Step-by-step explanation:

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A line passes through the point (–2, 7) and has a slope of –5. What is the value of a if the point (a, 2) is also on the line?

never [62]

(x1,y1) = (-2,7)
m = -5
(x,y) = (a,2)

Forming the equation,
(y-y1) = m(x-x1)
y - 7 = -5[x - (-2)]
y - 7 = -5x - 10
y + 5x = -3

Putting the values of (x,y) we get,
2 + 5a = -3
5a = -5
a = -1

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3 years ago

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Which point is on the graph of the equation y = 2x - 5?

notka56 [123]

The answer is 2,-1 i hope this helps you out!

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3 years ago

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A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.

skad [1K]

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

GIVEN :-

A man is 5 times as old as his son. (In Present)
4 years ago , the man was 13 times as old as his son

TO FIND :-

The present ages of the man & his son.

SOLUTION :-

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

$=> 5x - 4 = 13(x - 4)$

Now , solve the equation.

Open the brackets in R.H.S.

$=> 5x - 4 = 13x - 52$

Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.

$=> 13x - 5x = 52 - 4$

$=> 8x = 48$

Divide both the sides by 8

$=> \frac{8x}{8} = \frac{48}{8}$

$=> x = 6$

CONCLUSION :-

Age of son = 6 years

Age of man = 5×6 = 30 years

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2 years ago

What is true about the relationship between alternate interior angles?

svet-max [94.6K]

The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. A theorem is a proven statement or an accepted idea that has been shown to be true.

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3 years ago

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line repr

BARSIC [14]

Hi there! The slope of the line is -2/5.

We can determine the slope of a line by dividing the change of y-coordinates by the change of x-coordinates.

In this situation we have a...
change of x-coordinates of (5 - 0) = 5
change of y-coordinates of (0 - 2) = -2

Therefore, the slope of this line is -2/5

6 0

3 years ago

For which value of Theta is tan Theta equal to sin Theta?A. piB. pi/2C. pi/4D. pi/6​

For which value of Theta is tan Theta equal to sin Theta?A. piB. pi/2C. pi/4D. pi/6