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kati45 [8]
4 years ago
9

Find the area of a trapezoid if the altitude is 6 inches and the median is 8 inches. (Hint: Recall that the median of a

Mathematics
2 answers:
yarga [219]4 years ago
5 0

Answer:

=48 sq. units.

Step-by-step explanation:

Area of a trapezoid =h× (a+b)/2

(a+b)/2 is the median ( half of the sum of the two parallel sides also called the bases.

Median=8 inches

Altitude is the distance between the two parallel sides= 6 inches

A=6 inches×8 inches

=48 sq. units.

zlopas [31]4 years ago
3 0

Answer:

48 sq. units

Step-by-step explanation:

The area of a trapezoid is given by half sum of the bases multiplied by the height

=\frac{1}{2} (a+b)h

where a and b are the two parallel sides of the trapezoid and h is the height or amplitude of the trapezoid

But you are aware that, the median of a trapezoid is equal to half the sum of the bases, thus the first part of the formulae  is covered by the median

Median=\frac{1}{2} (a+b)

Hence area, A, of a trapezoid is simplified to product of median and amplitude

A=amplitude*median\\\\A=6*8=48sq.units

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The perimeter of a rectangle whose sides are of lengths (4m+7) units and (3m+2) units
34kurt

Answer:

  • 2(4m + 7) + 2(3m + 2)

Step-by-step explanation:

<u>We know that:</u>

  • Length = (4m + 7)
  • Breadth = (3m + 2)

The perimeter of a shape is the sum of its boundaries. Let's represent perimeter as p.

<u>Solution:</u>

  • p = (4m + 7) + (4m + 7) + (3m + 2) + (3m + 2)
  • => p = 2(4m + 7) + 2(3m + 2)

Hence, the algebraic expression on how to find the perimeter is 2(4m + 7) + 2(3m + 2).

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3 years ago
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a couch sells for $1260. instead of paying the toatl amount at the time of the purchase, the same couch can be brought by paying
bixtya [17]
If you pay $400 down, plus $80 for the next 12 months, that means you're paying (80*12)+400 which is equal to $1360. You're saving $100 by paying the entire total up front.
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3 years ago
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If a circle has an arc with the measure of 60° and the length of the arc is 50 in, what is the
Crazy boy [7]

Answer: radius = 47.8 inches

Step-by-step explanation:

An arc is a portion of the circumference of the circle. The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

θ = 60 degrees

Length of arc = 50 inches

Therefore,

50 = 60/360 × 2 × 3.14 × r

Cross multiplying by 360, it becomes

18000 = 376.8r

r = 18000/376.8

r = 47.8 inches

8 0
4 years ago
Calcule le PGCD de 231 et 561 à l'aide de la méthode des soustractions successives.
masya89 [10]

Answer:

GCD = 33

Step-by-step explanation:

désolé si ce n'est pas correct

7 0
3 years ago
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#22-11: Determine the difference in area between circle A and circle B. Use 3.14 for pi.
topjm [15]

Answer:

7.065

Step-by-step explanation:

There are two ways to do this:

(Note: area = pi * r^2)

Method 1:

Diameter of A = 4, so radius = 4/2 = 2

Area of A = 3.14 * 2^2 = 12.56

Diameter of B = 5, so radius = 5/2 = 2.5

Area of B = 3.14 * 2.5^2 = 19.625

Difference in area = 19.625 - 12.56 = 7.065

Method 2:

First find out how much larger the diameter of B is than A, so 5/4 = 1.25.

What this means is if you take the diameter of A and multiply it by 1.25, you get the diameter of B.

When dealing with area, the area of B will be 1.25^2 times bigger than A.

Area of A = 3.14 * 2^2 = 12.56

So area B = 12.56 * 1.25^2 = 19.625

Difference = 19.625 - 12.56 = 7.065

5 0
4 years ago
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