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devlian [24]
3 years ago
15

Simon says that to find the area of a trapezoid, you can multiply the height by the top base and the height by the bottom base.

Then add the two products together and divide the sum by 2. Is Simon correct? Complete the explanation.
Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

Yes, Simon is correct.

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height

Therefore, Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h

Area \; of \; trapezoid = \frac {1}{2} * (b_{1}h + b_{2}h)

Area \; of \; trapezoid = \frac {b_{1}h + b_{2}h}{2}

Hence, to find the area of a trapezoid, you will multiply the height by the top base and the height by the bottom base. Then you add the two products together and divide the sum by 2.

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3 0
2 years ago
What angle does the piece of pie form? picture is added
Gwar [14]

Answer:

It forms a 90 degree angle

Step-by-step explanation:

Since a circle is 360 degrees, 1/4 of that would be 90.

8 0
3 years ago
Read 2 more answers
What should you multiply the top equation by so that y is eliminated when the
VLD [36.1K]
Your answer is D. 2 :)
8 0
3 years ago
Read 2 more answers
The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p
Stolb23 [73]

Answer:

First type of fruit drinks: 48 pints

Second type of fruit drinks: 32 pints

Step-by-step explanation:

Let's call A the amount of first type of fruit drinks. 55% pure fruit juice

Let's call B the amount of second type of fruit drinks. 80% pure fruit juice

The resulting mixture should have 65% pure fruit juice and 80 pints.

Then we know that the total amount of mixture will be:

A + B = 80

Then the total amount of pure fruit juice in the mixture will be:

0.55A + 0.8B = 0.65 * 80

0.55A + 0.8B = 52

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:

-0.8A -0.8B = -0.8*80

-0.8A -0.8B = -64

-0.8A -0.8B = -64

               +

0.55A + 0.8B = 52

--------------------------------------

-0.25A = -12

A = \frac{-12}{-0.25}

A = 48\ pints

We substitute the value of A into one of the two equations and solve for B.

48 + B = 80

B = 32\ pints

6 0
3 years ago
The area of this rectangle is 3x2 what does the coefficient 3 mean in term of the problem
tangare [24]
By definition, the area of a rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 For this case, we have that the area is given by:
 A = (3) * (2)
 Therefore, in terms of this problem, the coefficient 3 represents one of the dimensions of the rectangle.
 Answer:
 
The coefficient represents one of the dimensions of the rectangle.
7 0
3 years ago
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