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kondor19780726 [428]
3 years ago
12

Solve for e. 5e=45 What is the value of e?

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Step-by-step explanation:

Given

5e = 45

e = 45 / 5

e = 9

Hope it will help :)

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Given that cos(theta) = 8/17 and that theta lies in Quadrant IV, what is the exact value of sin 2(theta)?
Deffense [45]

Answer:    -\frac{240}{289}

=========================================================

Explanation:

Use the pythagorean trig identity \sin^2(\theta)+\cos^2(\theta) = 1 and plug in the fact that \cos(\theta) = \frac{8}{17}\\\\

Isolating sine leads to \sin(\theta) = -\frac{15}{17}\\\\. I'm skipping the steps here, but let me know if you need to see them.

The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.

Therefore,

\sin(2\theta) = 2\sin(\theta)\cos(\theta)\\\\\sin(2\theta) = 2*\left(-\frac{15}{17}\right)*\left(\frac{8}{17}\right)\\\\\sin(2\theta) = -\frac{240}{289}\\\\

6 0
2 years ago
reflect (7,4) across the x-axis then reflect the result across the y-axis what are the coordinates of the final point
Andrews [41]

The coordinates of the final point after the two reflections is (-7, -4)

<h3>How to reflect a point across an axis?</h3>

For a point (x, y), a reflection across the x-axis gives the point (x, -y), while for a point (x, y) a reflection across the y-axis gives (-x, y).

In this case, we have the point (7, 4), first we reflect across the x-axis, so we get the point (-7, 4).

Now we reflect across the y-axis, so the sign of the y-component changes, and we get (-7, -4)

So the coordinates of the final point after the two reflections is (-7, -4).

If you want to learn more about reflections, you can read:

brainly.com/question/4289712

8 0
3 years ago
Jackie bought a circular rug to place on the floor in her bathroom. The rug has a diameter of 6 feet. What is the area of the ru
Genrish500 [490]
Hey!
The area of the circle would be 28.26 feet squared

Lets break it down:

The formula for the area is pi×radius×radius
We have the diameter, so to find the radius, we need to divide the diameter by 2. 6÷2=3
Now that we have the radius, wr can plug in our numbers: 3.14×3×3= the area, or 28.26 feet sq.

Hope this helps!
6 0
3 years ago
If the function rule is 5x, what is the value when x = 3?
cupoosta [38]
This means that we will plug 3 into our x values.

Our rule is 5x.

This means that:
5(3)

This means our final answer will be 15.
3 0
3 years ago
How do you divide 75 into 1000
Maksim231197 [3]
The answer is going to be a fraction...which is 75/1000, otherwise known as 1/40
3 0
3 years ago
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