MATHEMATICS MIDDLE SCHOOL

A trapezoid bases is 70 1/2 and 65 1/2 inches long the area is 1224

Answers

Answer 1
Answer: The height of the trapezoid is 18.
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You are creating a wedding cake for a couple. The couple has already picked out a design that they like. The cake is composed of three tiers. Each tier is a square prism. The bottom tier has a length of 20 inches. The second tier has a length of 14 inches and the top tier has a length of 8 inches. Each tier has a height of 6 inches. The surface of the entire cake will need to be covered in frosting. How many cans of frosting will you need to buy, if each can covers 250 square inches?

Answers

To calculate the total surface area of a three-tier wedding cake and determine the number of frosting cans needed, we use the formula for the surface area of a square prism. The total surface area of the cake is 1848 square inches. As each can covers 250 square inches, we would need to buy 8 cans.

In this task, we are asked to calculate the total surface area of a three-tiered wedding cake made of square prisms to determine how many cans of frosting are needed. Each tier has a different length but they all share the same height. The surface area of a square prism is calculated by using the formula 2(a² + 4ah), where 'a' is the length of a side and 'h' is the height.

The total surface area for each tier becomes:

  1. Bottom Tier: 2*(20^2 + 4*20*6) = 880 square inches
  2. Middle Tier: 2*(14^2 + 4*14*6) = 616 square inches
  3. Top Tier: 2*(8^2 + 4*8*6) = 352 square inches

Add these together to get the total surface area for the whole cake, which is 1848 square inches. As each can of frosting can cover 250 square inches, you will need to divide 1848 by 250. This gives approximately 7.4, so you would need to buy 8 cans of frosting to fully cover the cake (as we can't buy partial cans).

Learn more about Surface Area here:

brainly.com/question/36938891

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Used Area from bottom box (green)= All 4 vertical faces +EFGH-IJKL
=(20*6+6*6+20*6+6*6)+20*6-14*6= 348 Square inches ...(i)

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Used Area from middle box (Blue)= All 4 vertical faces +MNOP-QRST
=(14*6+6*6+14*6+6*6)+14*6-8*6=276 square inches...(ii)

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Used Area from top box (Brown)= All 4 vertical faces +UVWX
=(8*6+6*6+8*6+6*6)+8*6=216 square inches...(iii)

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so the surface area of the cake to be covered= 348+276+216=840 square inches.

given that 1 can covers 250 square inches

so number of cans needed = 840/250=3.36

which means 4 cans needed.

35 = 45 - n;10,11,12 \\\\

Answers

35=45-n
we do not want negative n so we add n to both sides
n+35=45
now subtract 35 from both sides
n=10

This is an algebraic expression.The answer is 10,because 45-10=35.

Factor completely: 2x^3 – 32xA. 2(x + 4)(x – 4)
B. 2x(x + 4)(x – 4)
C. x(x – 4)(x – 4)
D. 2x(x – 16)

My progress so far:
2x^3 – 32x
x^3 - 16

Answers

2x^3-32x= \n2x(x^2-16)= \n2x(x^2-4^2)= \n\boxed{2x(x+4)(x-4)} \Leftarrow\hbox{answer B}

How many different integers can have the same absolute

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Lee has saved 65% of the money she needs to buy a pair of jeans that cost $52. How much money does lee have, and how much more money does she need to buy the jeans?

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lee has $33.80 and needs $18.20 more to buy the jeans

youre welcome

What is the probability that a month picked at random will have 31 days? A.5/12
B.4/12
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