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Inessa [10]
3 years ago
12

A pedestal in a craft store is in the shape

Mathematics
2 answers:
tamaranim1 [39]3 years ago
8 0

Answer:

Step-by-step explanation:

Robert sketches two rectangular prisms, A and B.

Prism A’s side lengths are 5 centimeters, 6 centimeters, and 7 centimeters.

Prism B’s side lengths were twice those of prism A’s: 10 centimeters,

12 centimeters, and 14 centimeters. Robert says the surface area of

prism B is twice the surface area of prism A. Is he correct? If he is not,

how many times as great as prism A’s surface area is prism B’s surface

area? Show your work.

Angelina_Jolie [31]3 years ago
4 0
Given:
side lengths of right triangles = 12 cm ; 16 cm ; 20 cm
lateral area = 192 cm²

lateral area of a triangular prism = perimeter * height
192 cm² = (12 cm + 16 cm + 20 cm) * height
192 cm² = 48 cm * height
192 cm² / 48 cm = height
4 cm = height

The height of the pedestal in the shape of a triangular prism is 4 cm.

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Solve for m and simplify: 30/4=m/6
Zarrin [17]

Answer:

m=45

Step-by-step explanation:

4 0
3 years ago
Somebody please help!!!<br> (Dont judge me I forgot)
ch4aika [34]

Answer:

16. 200+3

17. 30+4+0.1+0.02+0.007

18. 200+70+6+0.1+0.03

19. 30000000+4000000+100000+20000+3000+6

Step-by-step explanation:

4 0
3 years ago
seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive
Alik [6]

Answer:

120 distinct results are possible if no child is to receive more than one gifts.

Step-by-step explanation:

When the order is not important, we use the combination formula:

C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.

In this problem, we have that:

Combinations of 7 from a set of 10 elements. So

C_{n,x} = \frac{n!}{x!(n-x)!}

C_{10,7} = \frac{10!}{7!(3)!} = 120

120 distinct results are possible if no child is to receive more than one gifts.

6 0
3 years ago
Solve the equation<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7Dx%20-%2017%20%3D%2010" id="TexFormula1" titl
Annette [7]

Answer:

x = 72

Step-by-step explanation:

<u>To solve for 'x', isolate it</u>. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

<u>When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations</u>. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, <u>what you do to one side you have to do to the other</u>.

\frac{3}{8}x-17=10        Keep 'x' on the left and move everything over.

\frac{3}{8}x-17+17=10+17        Add 17 to both sides. "-17" cancels out on the left.

\frac{3}{8}x=27        Simplified right side

\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}        Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

x=27/\frac{3}{8}        To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

x=27*\frac{8}{3}        Combine the factors into one fraction.

x=\frac{27*8}{3}        Multiply 27 by 8 in the numerator.

x=\frac{216}{3}        Simplify the fraction by dividing top by bottom.

x=72        Final answer, solved for 'x'

5 0
2 years ago
A film club initially had 300 members. However, its membership has since decreased by 6% each year. How many members did the clu
mezya [45]
F(x) = 300(1-.06)^5
f(x) = 300(.7339040224...)
f(x) = 220.17120672
After 5 years, the club should still have 220 members.
8 0
3 years ago
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