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PolarNik [594]
3 years ago
6

(b)

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

Step-by-step explanation:

a) r = √(1² + (-5²)) = √26 = 5.09901...

   θ = tan⁻¹(-5/1) = 4.9097... radians

   (5.1, 4.9)

b) r = - 5.09901...

   θ = 4.9097... - π = 1.76819...

   (-5.1, 1.8)

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Explanation how solve step by step 2/7m-1/7=3/14
Drupady [299]

Answer:

m = 25/28

Step-by-step explanation:

It's best to enclose fractional coefficients inside parentheses to eliminate ambiquity:   2/7m-1/7=3/14 => (2/7(m - (1/7) = (3/14).

The LCD is 14; each of the denominators {7, 14} divides evenly into 14.  Hence our equation becomes

(4)(m - 1/7) = 3

... after multiplying every term by 14.

Let's multiply each side by 7 to eliminate the remaining fraction:

4(7m - 1) = 21, or

28m - 4 = 21, or

28m = 25.

Hence, m = 25/28.

8 0
3 years ago
The perimeter of the rectangle below is 96 units. Find the length of side RS.
ladessa [460]

Answer:

96÷3=32z

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4 0
3 years ago
Use this graph of g to find g(1).<br><br> pls help !
kari74 [83]
I’m not really sure if it correct, g(1)=0 or g(1)=1??
8 0
3 years ago
What is the value of x?
Makovka662 [10]

Answer:

A-100

Step-by-step explanation:

Use the Pythagorean therom.

a^2+b^2=c^2

6^2+8^2=c^2

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Hope this helps. Kinda confused me.


4 0
3 years ago
Statements that are true for a cylinder with radius r and height h.
vampirchik [111]

Answer:

Only the second and third statements are correct:

Doubling <em>r</em> quadruples the volume.

Doubling <em>h</em> doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

\displaystyle V=\pi r^2h

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2<em>r</em>. Hence, our volume is:

\displaystyle V=\pi (2r)^2h=4\pi r^2h

So, compared to the old volume, the new volume is quadrupled the original volume.

Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

If the height is doubled, our new height is now 2<em>h</em>. Hence, our volume is:

V=\pi r^2(2h)=2\pi r^2h

So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2<em>r</em> and doubling the height results in 2<em>h</em>. Hence, the new volume is:

V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h

So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

7 0
3 years ago
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