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bekas [8.4K]
3 years ago
15

–3x + 1 + 10x = x + 4

Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0
-3x+1+10x=x+4
-3x+10x-x=4-1
6x=3
x=3/6=1/2

Answer: x=1/2
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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
(a) area of the shaded region<br>and<br>(b) perimeter of the shaded region
Anika [276]
A=24.56
Work circle= 3.14 times 4 Sq/4= 12.56
Trapezoid= 1/2 (4)(2+4)

B.16.75
OR 12.28+ Sq rt of 20
5 0
3 years ago
31
Viktor [21]

Answer:

no sure about the answer

6 0
2 years ago
What is the surface area of the right cylinder pictured below with
Aloiza [94]

Answer:

B is the correct answer

Step-by-step explanation:

250 cm2

8 0
3 years ago
Find the area pls- i need help
Tresset [83]

Answer:

1. 36 sq un

2. 40 sq un

3. 20 sq un

Step-by-step explanation:

The answer for number one is 36 square units because the rectangular area is 24 sq un and the triangular area is 12 sq un so I added them to get 36 sq un. The second answer is 40 sq un because if you cut the shape into 2 shapes you get 2 equal trapezoids. Each trapezoid is 20 sq un so I multiplied it by two to get 40 sq un. The third answer is 20 because the side triangles are 2 sq un each and the square on the bottom is 16 sq un. By the way, sq un means square units lol.

3 0
3 years ago
Read 2 more answers
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