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Oduvanchick [21]
3 years ago
8

Please show me step by step so I can learn to explain it to my son.

Mathematics
1 answer:
aleksklad [387]3 years ago
6 0
These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.

<u>Step 1:  Find the area of the trapezium</u>:

Formula : Area of trapezium = 1/2 (a + b)h 

Area = 1/2 ( 25 + 15) (12) = 240 yd²

<u>Step </u><u>2 :</u><u> Find the area of the rectangle</u>:

Formula : Area = Length x Width

Area = 12 x 3 = 36 yd²

<u>Step 3: Find the shaded region:</u>

240 - 36 = 204 yd²

Answer: 204 yd²

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3. A postal carrier can
Delicious77 [7]

Answer:

6 hours. ( I DID IT USING PROPORTIONS!)

Step-by-step explanation:

houses/hours

130/2.5= 312/x

(cross multiply)

130x = 780

130x/130 = 780/ 130 (divide each by 130)

6 = h

7 0
4 years ago
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A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei
ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is 576\ cm^{3}

Part 2) The total surface area of the paperweight is 400\ cm^{2}

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the square base

H is the height of the pyramid

B=8^{2}=64\ cm^{2}

H=3\ cm

substitute

V=\frac{1}{3}(64)(3)=64\ cm^{3}

step 2

Find the volume of the cube

The volume of the cube is equal to

V=b^{3}

V=8^{3}=512\ cm^{3}

step 3

Find the volume of the paperweight

64\ cm^{3}+512\ cm^{3}=576\ cm^{3}

Part 2) what is the total surface area of the paperweight?​

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

SA=5b^{2}

SA=5(8^{2})=320\ cm^{2}

step 2

Find the lateral area of the pyramid

LA=4[\frac{1}{2}bh]

LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}

step 3

Find the total surface area of the paperweight

320\ cm^{2}+80\ cm^{2}=400\ cm^{2}

8 0
3 years ago
-2/3 - (-1 1/3)<br><br> A -1 2/3<br><br> B -2/3<br><br> C-1/3<br><br> D 2/3
mihalych1998 [28]
The answer to your question is D , it is 2/3 simple math even easier if you use a calcul
5 0
3 years ago
Joseph's last 13 paychecks were each $485 after taxes. How much did Joseph make after taxes during this time? I need THIS ANSWER
Scrat [10]

Answer:

6305

StepStep-by-stepStepStep-by-step-by-step-by-step explanation:

multply

7 0
2 years ago
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Write an algebraic expression for: The sum of ten and a number.
meriva

Hi,

The sum of ten and a number.

Usually AND refers to adding, that's just the rules of math according to writing equation. Times would be multiplying, taking away is subtraction and divided by is dividing.


So if the question uses AND, it's adding.

A

4 0
3 years ago
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