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Sunny_sXe [5.5K]
2 years ago
13

Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of

the point p

Mathematics
1 answer:
labwork [276]2 years ago
8 0

Answer:

<em>a)  </em>G(x)= \sin x + 2<em />

<em>b) The coordinates of P are</em>

<em />\displaystyle \left( \frac{3\pi}{2},1\right)

Step-by-step explanation:

<u>Translation</u>

The dashed line shows the graph of the function

y = \sin x

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

a)

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

\boxed{G(x)= \sin x + 2}

b) The coordinates of P correspond to the value of

x = \frac{3\pi}{2}

The value of G is

\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2

Since

\sin \frac{3\pi}{2}=-1

\displaystyle G(\frac{3\pi}{2})= -1+ 2=1

The coordinates of P are

\displaystyle \left( \frac{3\pi}{2},1\right)

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At the Olympic Games, a runner won the 26.2 mile marathon race in 2 hr 4 min and 1 second. What was his average speed in mph and
Contact [7]

The average speed of the runner is 12.7 mph and 20.4 km/h

Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from  hours and minutes into minutes and finally hours, since hours is what we need. So, we have

2hr = 120mins

+ 4 mins = 124 mins

124 mins ÷ 60 hour/mins = 2.06 hours.

This means that the runner finished the race in 2.06 hours.

If we are to find the average speed in mile per hour, we have

Average speed = distance ran ÷ time taken

Average speed = 26.2 ÷ 2.06

Average speed = 12.7 mph

From the speed in mph, we can directly convert it to km/hr by saying

1 mph = 1.609 km/h

12.7 mph = 12.7 * 1.609 = 20.4 km/hr

for more, check: brainly.com/question/1989219

4 0
2 years ago
What had the biggest effect on the earths orbit about the sun , explain.
andreev551 [17]

Answer:

The Earth's orbit makes a circle around the sun. At the same time the earth orbits around the sun, it also spins. In science, we cal that rotating on its axis. Since the earth orbits the sun AND rotates on its axis at the same time we experience seasons, day and night, and changing shadows throughout the day.

8 0
2 years ago
Blue cassests hold 45 min. Of music
zhannawk [14.2K]
Let the number of Blue casset be b and that of green be g.
Thus the total number of cassets will be:
b+g=16
hence
g=16-b.......i

The total amount was:
45b+55g=830..ii
plugging i in ii we get:
45b+55(16-b)=830
45b+880-55b=830
simplifying 
45b-55b=830-880
-10b=-50
thus
b=5
hence
g=16-5=11
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5 0
3 years ago
If
arlik [135]

Given:

In a right angle triangle θ is an acute angle and \tan\theta =\dfrac{3}{5}.

To find:

The value of \cos \theta.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

We have,

\tan\theta =\dfrac{3}{5}

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

Hypotenuse=\sqrt{Perpendicular^2+base^2}

Hypotenuse=\sqrt{(3x)^2+(5x)^2}

Hypotenuse=\sqrt{9x^2+25x^2}

Hypotenuse=\sqrt{34x^2}

Hypotenuse=x\sqrt{34}

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

\cos \theta=\dfrac{5x}{x\sqrt{34}}

\cos \theta=\dfrac{5}{\sqrt{34}}

Therefore, the value of \cos \theta is \dfrac{5}{\sqrt{34}}.

8 0
2 years ago
1(4 – 22); 2 – 2x<br><br> I don’t get this question can someone help me
sertanlavr [38]

Answer:

i dont know if this is what u wanted but it wasn't really specified

Step-by-step explanation:

1(4 – 22); 2 – 2x

simplified:

−18;−2x+2

8 0
3 years ago
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