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SOVA2 [1]
2 years ago
12

What is the area of the trapezoid?

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
7 0
<h2>Answer:</h2>

42 square units

<h2>Step-by-step explanation:</h2>

For a better understanding, I add an EFGH Rectangle.

The area of EFGH Rectangle = p x l

The area of EFGH Rectangle = 10 x 8

The area of EFGH Rectangle = 80cm²

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x 6 x 4

The area of BHA Triangle = 2 x 6

The area of BHA Triangle = 12cm²

The area of AGD Triangle = 1/2 x a x t

The area of AGD Triangle = 1/2 x 4 x 2

The area of AGD Triangle = 4cm²

The area of CFD Triangle = 1/2 x a x t

The area of CFD Triangle = 1/2 x 2 x 6

The area of CFD Triangle = 6cm²

The area of BEC Triangle = 1/2 x a x t

The area of BEC Triangle = 1/2 x 8 x 4

The area of BEC Triangle = 4 x 4

The area of BEC Triangle = 16cm²

The area of the trapezoid = EFGH Rectangle - (BHA Triangle + AGD Triangle + CFD Triangle + BEC Triangle)

The area of the trapezoid = 80 - (12 + 4 + 6 + 16)

The area of the trapezoid = 80 - 38

The area of the trapezoid = 42cm²

<h3>Conclusion :</h3>

The area of the trapezoid is <u>42 square units</u>

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Brittany removed half of the total number of marbles from her bag, and gave one fourth of the remaining marbles to her friend. W
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The fraction of the total number of marbles is left in the bag after removing and giving part to her friend is 3/8

<h3>Fraction</h3>

let

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  • Number of marbles removed from her bag = 1/2x

Remaining marbles = x - 1/2x

= (2x-x) / 2

= x/2

= 1/2x

Number of marbles given to her friend = 1/4 of 1/2x

= 1/4 × 1/2x

= 1/8x

Number of marbles left in the bag = Remaining marbles - Number of marbles given to her friend

= 1/2x - 1/8x

= (4x-x) / 8

= 3x/8

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1 year ago
The question is in the picture.
nordsb [41]
The first bullet is the answer
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3 years ago
True or False? The first distribution shown below has a smaller mean than
lozanna [386]

I'm not really sure because I have not done this in a while but I think True

Step-by-step explanation:

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Find the length of the hypotenuse of a right triangle whose legs are 5 and √2.
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Answer:

\sqrt{27}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let h represent the hypotenuse, then

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h = \sqrt{27} ← exact value

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A truck can be rented from Company A for ​$70 a day plus ​$0.50 per mile. Company B charges ​$20 a day plus ​$0.60 per mile to r
r-ruslan [8.4K]

Answer:

The rental cost for Company A and Company B will be the same after 500 miles

Step-by-step explanation:

The total cost of renting a truck from Company A can be expressed as;

Total rental cost(Company A)=Cost per day+Total rate

where;

Cost per day=70

Total rate=rate per mile×number of miles (m)=(0.5×m)=0.5 m

replacing;

Total rental cost(Company A)=70+0.5 m...equation 1

2. The total cost of renting a truck from Company B can be expressed as;

Total rental cost(Company B)=Cost per day+Total rate

where;

Cost per day=20

Total rate=rate per mile×number of miles (m)=(0.6×m)=0.6 m

replacing;

Total rental cost(Company B)=20+0.6 m...equation 2

Equating equation 1 to equation 2

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0.6 m-0.5 m=70-20

0.1 m=50

m=50/0.1

m=500 miles

The rental cost for Company A and Company B will be the same after 500 miles

7 0
3 years ago
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