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Elena-2011 [213]
4 years ago
13

Please help. 20 points. Show all work. Thank you.

Mathematics
1 answer:
Bogdan [553]4 years ago
5 0
The lateral area of a cone is the surface area (aka area of the sides of the object) minus the area of the base of the cone.

The equation for the lateral area of a cone is:  lateral \: area = \pi rl
where r = radius and l = slant height.

Since you know that the lateral area = 500 \pi \: cm^{2} and the radius, r = 50 cm, you can plug those values into the equation for the lateral area and solve for l, the slant height:
lateral \: area = \pi rl\\
500 \pi =  \pi (50)(l)\\
500 = 50l\\
l = 10

The slant height of the cone is A) 10cm.

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RideAnS [48]

Answer:

1) 7m

2) 13

3) 4x^2y

4) 6s^3t^4

Step-by-step explanation:

gcf means the the greatest factor that works for both terms

1) 21m^3 and 28m

    let's first find the gcf for the coefficient

    21 and 28, the gcf is 7. (hopefully thats easy to explain)

    the gcf for the variables is the same mindset as the numbers

    m^3 and m, both can be factored by m

    so the gcf is 7 * m which is 7m

2)

  13x and 26

  let's first find the gcf for the coefficient

  13 and 26, gcf is 13

  there's only one variable, x, so there's not gcf for that

 so the gcf is just 13

3)

  8x^2y and -12x^3y^2

  let's first find the gcf for the coefficient

  8 and -12, the gcf is 4 (you can also say -4)

  for the variables , same mindset

 x^2y and x^3y^2

 the gcf for x is x^2, and for y it is just y

 so 4 * x^2 * y = 4x^2y

by understanding 3) hopefully you can understand 4)

pls comment for any questions

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Step-by-step explanation:

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3 years ago
Can anybody finish the puzzle #14 please??
Pepsi [2]

With each iteration, you're swapping the two coordinates, and then change sign of the first one:

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