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sveta [45]
4 years ago
11

The surface area of a cube is 24 cm squared. What would the surface are of the prism be if each dimension were quadrupled?

Mathematics
1 answer:
kenny6666 [7]4 years ago
6 0
CubeSA=6 squares
SA=6s^2
SA=24
24=6s^2
divide 6
4=s^2
2=s

quadrupled means times 4
2*4=8
8=new side
sub back
SA=6(8^2)
SA=6(64)
new SA=384 cm^2
You might be interested in
One cake feeds 14 people. Use a proportion to find how many cakes must be purchased to feed 60 people.
katrin2010 [14]

Answer:

5 cakes


hope it helps

Step-by-step explanation:

if one cake feed 14 people and you are tying to fine out how many cakes you need to feed 60 people you would have to divide 60 by 14

1 cake = 14 people

? cakes = 60 people

60 ÷ 14 = 4.28

so in order to have enough for 60 people you need to round so you would need 5 cakes

to check you answer you can multiply 5 by 14 and you answer should be the amount of people

5 x 14 = 70

why  cant it be 4? well because if you buy 4 cakes there wont be enough for 60 people and to make sure it wont be enough you can multiply 4 x 14

4 x 14 = 56

so 4 cakes only feeds 56 people so that is why your answer is 5 cakes are needed



8 0
4 years ago
Given: m<FSH = (5x-8)°, m<NSF=(9x-12)° and m<NSH=(10x+20)°.
Ivan

Answer:

The answer to your question is ∠FSH = 42°; ∠NSF = 78°; ∠NSH = 120°

Step-by-step explanation:

Data

∠ FSH = 5x - 8

∠NSF = 9x - 12

∠NSH = 10x + 20

Process

1.- Write a equation to solve this problem

          ∠NSH = ∠NSF + ∠FSH

2.- Substitute values

         10x + 20 = 9x - 12 + 5x - 8

3.- Solve for x

         10 x - 9x - 5x = - 12 - 8 - 20

         10x - 14x = - 12 - 28

                 - 4x = - 40

                     x = -40 / -4

                    x = 10

4.- Find the measure of all three angles

    ∠FSH = 5(10) - 8

               = 50 - 8

               = 42°

    ∠NSF = 9x - 12

               = 9(10) - 12

               = 90 - 12

               = 78°

∠NSH = 10(10) + 20

          = 100 + 20

          = 120°

5.- Check the answers

              120°   = 78°  + 42°

              120° = 120°

The answers are correct

8 0
3 years ago
If the mean of a normal distribution is 105, what is the median of the distribution? O A 315 OB. 105 O C. 420 D. 210 SUBM​
Oliga [24]

Answer:

105

Step-by-step explanation:

A normal or symmetrical distribution where each the distance between each side of the distribution to the midpoint is the same, a normal distribution, also called a symmetrical distribution has the se value for both its median and mean. Hence, if the mean of a normal distribution is x, then it's median will also be x.

For the scenario given,

Since mean = 105 ; then median = 105

3 0
3 years ago
Find the number of positive numbers less than 2020, which can not be written as the sum of six consecutive positive numbers.
sveta [45]

Answer: 334

Step-by-step explanation:

6 consecutive numbers can be written as:

n, n+1, n+2, n + 3, n + 4, n + 5,

The addition of those 6 numbers is:

n + n+1 + n+2 + n + 3 + n + 4 + n + 5

6n + 1 + 2 + 3 + 4 + 5 = 6n + 15

Let's find the maximum n possible:

6n + 15 = 2020

6n = 2020 - 15 = 2005

n = 2005/6 = 334.16

The fact that n is a rational number means that 2020 is can not be constructed by adding six consecutive numbers, but we know that with n = 334 we can find a number that is smaller than 2020, and with n = 335 we can found a number bigger than 2020.

So with n =  334 we can find one smaller.

6*334 + 15 = 2019

and we can do this for all the values of n between 1 and 334, this means that we have 334 numbers less than 2020 that can be written as a sum of six consecutive positive numbers.

8 0
3 years ago
Run is the ______ change in a line from one point to another.
Akimi4 [234]

Answer:

horizontal

Step-by-step explanation:

Rise over Run

Rise is up, or vertical and Run is across, or horizontal.

4 0
3 years ago
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