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emmasim [6.3K]
3 years ago
6

There are three points on a line, A, B, and C, so that AB = 12 cm, BC = 13.5 cm. Find the length of the segment AC . Give all po

ssible answers.
Mathematics
1 answer:
Semmy [17]3 years ago
3 0

Answer:

AC = 25.5 or 1.5

Step-by-step explanation:

If they are on a line and they are in the order ABC

AB + BC = AC

12+13.5 = AC

25.5 = AC

If they are on a line and they are in the order CAB

CA + AB = BC

AC + 12 =13.5

AC = 13.5 -12

AC = 1.5

If they are on a line and they are in the order ACB

That would mean that AB is greater than BC and that is not the case

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The radius of a cylinder is 7 c m and its height is 10 c m. Find curved surface area and volume.​
erma4kov [3.2K]

Answer:

  • CSA of the cylinder = 440 sq. cm

  • Volume of the cylinder = 1540 cu. cm

\\

Step-by-step explanation:

Given:

  • Radius of the cylinder = 7 cm
  • Height of the cylinder = 10 cm

\\

To Find:

  • Curved surface area
  • Volume

\\

Solution:

\\

Using formula:

\dashrightarrow \:  \:  { \underline{ \boxed{ \pmb{ \sf{ \purple{CSA  \: of  \: cylinder = 2\pi rh}}}}}}  \:  \star \\  \\

<em>Substituting the required values: </em>

\\

\dashrightarrow \:  \:  \sf CSA {(cylinder)} = 2 \times \dfrac{22}{7} \times 7 \times  10 \\  \\  \\  \dashrightarrow \:  \:  \sf CSA {(cylinder)}  = 2 \times 22 \times 10 \\  \\ \\   \dashrightarrow \:  \:  \sf CSA {(cylinder)} = 44 \times 10 \\  \\  \\  \dashrightarrow \:  \:  \sf CSA {(cylinder)}  = 440 \:  {cm}^{2}  \\ \\ \\

Now,

\dashrightarrow \:  \:  { \underline{ \boxed{ \pmb{ \sf{ \purple{Volume {(cylinder)}=  \pi {r}^{2} h}}}}}}  \:  \star \\  \\ \\

<em>Substituting the required values, </em>

\\

\dashrightarrow \:  \:   \sf Volume {(cylinder)}=  \dfrac{22}{7}  \times  {(7)}^{2}  \times 10 \\ \\  \\  \dashrightarrow \:  \:   \sf Volume {(cylinder)}=  \frac{22}{7}  \times 49  \times 10 \\ \\ \\  \dashrightarrow \:  \:   \sf Volume {(cylinder)}= 22 \times 7 \times 10 \\ \\  \\  \dashrightarrow \:  \:   \sf Volume {(cylinder)}= 1540 {cm}^{3}  \\ \\ \\

Hence,

  • CSA of the cylinder = 440 sq. cm

  • Volume of the cylinder = 1540 cu. cm
8 0
2 years ago
Read 2 more answers
Consider the region bounded by
Montano1993 [528]
The equation is a circle centered at the origin with radius 8 (sqrt(64))
Therefore, the bounded region is just a quarter circle in the first quadrant.

Riemann Sum: ∑⁸ₓ₋₋₀(y²)Δx=∑⁸ₓ₋₋₀(64-x²)Δx

Definite Integral: ∫₀⁸(y²)dx=∫₀⁸(64-x²)dx
4 0
3 years ago
I don't understand this problem...<br> 1/4 x (-12)=
Nikitich [7]

Answer:

-3

Step-by-step explanation:

When multiplying a positive number with a negative number, the product will <u>always</u> be negative. First, let's solve the problem disregarding the negative sign.

  • \frac{1}{4} * 12
  • \frac{12}{4}
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Now that we know the product of 1/4 x 12 is 3, we can assume that the product of 1/4 x -12 is -3.

4 0
2 years ago
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3. Given that ∆RSV - ∆RTU, find the coordinates of S and the scale factor. R(0, 0) T(16,0) V(0, --6) U(0, -8) ​
MArishka [77]

Answer:

I'll give the scale factor and you can compute the coordinates of S

Step-by-step explanation:

the dilation if centered about the origin is the scale factor multiplied by each coordinate.

so looking at points V and U, the scale factor F is found by solving for F:

-6xF= -8

F=8/6=4/3

Now you can compute the coordinates for S

send a comment if you need help

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2 years ago
Use Cramer's rule to solve 4x + 3y = 4, -3x - y = 7. Show your work.
nikklg [1K]
The answer is shown in the picture because it ran afoul of Brainly's "bad word" detector.

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3 years ago
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