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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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For a rectangle with length 3x+4 and perimeter of 10x+18, what is the width of the rectangle?
MAVERICK [17]

Answer:

For a rectangle with length 3x+4 and perimeter of 10x+18, what is the width of the rectangle

5 0
2 years ago
Si tenemos un cuadrado cuyos lados miden 1/3 en 7 partes iguales, ¿Cuál es su área?
Nataly_w [17]

Answer:

English please?

Step-by-step explanation:

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8 0
2 years ago
Identify the meaning of the variables in the point-slope form of a line.
hjlf

Answer:

(x,y) = Any point on the line

m = the slope of the line

(x₁, y₁) = A given point on the line

Step-by-step explanation:

the equation of a straight line is;

y = mx + c

where;

x and y are any point on the line

m is the slope of the line

c is the intercept on the y axis

And a given point on (x,y) can be written as (x₁, y₁)

Therefore, for the case above;

(x,y) = Any point on the line

m = the slope of the line

(x₁, y₁) = A given point on the line

3 0
3 years ago
A rectangular picture is twice as long as it is wide. If the
yulyashka [42]

Answer:

24 in long by 12 in wide.

Step-by-step explanation:

l=2w

288=(2w)×w

288=2w^2

144=w^2

12=w

width is 12 inches. Plug that in to find length...

l=2×12

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8 0
2 years ago
The principal of a school is hosting a small luncheon for her staff. She plans to prepare two sandwiches for each person. Some s
Otrada [13]

The constraints in the question are given by the definition of the variables;

The constraints are represented by the following equation and inequalities.

  • A. n ≥ 16
  • D. s = 2·n
  • F. 3s ≤ 225

Reasons:

The budget of the principal = $225

Number of people expected = 16 people

Number of sandwich per person = 2

Cost of each sandwich = $3

Required:

To select the inequalities that represent the situation's constraint

Solution:

The variable that represent the number of people attending = n

The number of sandwiches = s

From the question , we have;

The number of sandwich per attendee = 2 sandwiches

The total number of sandwich, <em>s</em>, for <em>n</em> attendees = 2·n

Therefore, we have;

<u>s = 2·n</u>

<u />

The number of people attending is at least 16, therefore;

<u>n ≥ 16</u>

<u />

The cost of the <em>s</em> sandwich = $3 × s

The total cost should be less than or equal to given budget of $225,

therefore;

<u>3s ≤ 225</u>

<u />

The equations and inequalities that could represent the constraints are;

A. n ≥ 16, D. s = 2·n, and F. 3s ≤ 225

Learn more here:

brainly.com/question/11961809

8 0
2 years ago
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