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Ghella [55]
3 years ago
8

What is the area of the trapezoid? The diagram is not drawn to scale.

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
8 0

Answer:

The area of trapezoid is 72 cm²

Step-by-step explanation:

Given : A trapezoid with given dimensions.

We have to find the area of trapezoid ABCD.

Consider the given trapezoid ABCD ,

AB = EF = 8 cm

and CE = FD = 4 cm

Then CD = CE + EF + FD = 4 + 8 + 4 = 16 cm

Thus, Area of trapezoid = \frac{1}{2}\cdot \text{(Sum of parallel sides)} \cdot height

here, height = 6 cm

and sum of parallel sides = AB + CD = 16 + 8 = 24 cm

Thus,  Area of trapezoid = \frac{1}{2}\cdot 24 \cdot 6

Simplify, we have,

Area of trapezoid = 72 cm²

Thus, The area of trapezoid is 72 cm²

Dovator [93]3 years ago
7 0
The correct answer to this question would be 72 cm squared.
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Zinaida [17]

A) The equation that we need to solve is:

(12ft/s)*(- d/(15ft/s) + 300s) = d

B) The distance to the hive is d = 2000ft.

<h3 /><h3>What equation can you use to find the distance of the flower bed from the hive?</h3>

We know that the bee's speed is 15 ft/s from the hive to the flower bed.

Then stays 12 minutes at the flower bed.

Then returns to the hive with a speed of 12ft/s.

The total time of the journey is 17 minutes, discounting the 12 minutes that the bee was in the flower bed, the travel only took 5 minutes.

Now, if the distance between the hive and the flower bed is d, t₁ as the time that the bee needs to go from the hive to the flower bed, and t₂ as the time in which the bee goes from the flower bed to the hive, we can write the system of equations:

t₂ + t₁ = 5min

(15ft/s)*t₁ = d

(12ft/s)*t₂ = d

With that system of equations, we can find the value of d, which is what we want to get.

Isolating t₂ in the first equation we get:

t₂ = - t₁ + 5min

Now we can replace that in the third equation:

(15ft/s)*t₁ = d

(12ft/s)*(- t₁ + 5min) = d

In the first equation we can isolate t₁:

t₁ = d/(15ft/s)

And replace that in the remaining equation:

(12ft/s)*(- d/(15ft/s) + 5min) = d

5 min = 5*60s = 300s

(12ft/s)*(- d/(15ft/s) + 300s) = d

This is the equation we need to solve to find the value of d.

-(12/15)*d + 3600ft = d

3600ft = d + (12/15)*d = (1 + 12/15)*d = (27/15)*d

(15/27)*3600ft = d = 2000 ft

We conclude that the distance to the hive is 2000ft.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

8 0
1 year ago
Find the volume of a right circular cone that has a height of 15.2 m and a base with a radius of 16.2.Round your answer to the n
AURORKA [14]

Answer:V≈4177.36m³

Step-by-step explanation:

4 0
3 years ago
Is one side of a rectangular fish tank best represented by a point, line, plane, or ray?
Inessa05 [86]
<span>One side of a rectangular fish tank can be best represented by a plane because it is two dimensional.Whereas,point,line or a ray are all one dimensional and hence they cannot represent a rectangle as it has two dimensions.</span>
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seven out of every 8 students surveyed owns a bike. The difference between the number of students who own a bike and those who d
guajiro [1.7K]
So if x people were surveyed, \frac{7}{8} people owned a bike and \frac{1}{8}  did not.

The difference between them is 72:
\frac{7}{8} x-\frac{1}{8} [/tex] =72
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let's simplify:

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5 0
3 years ago
15 times as much as 1 fith of 12
Mila [183]
The answer is 36.

12 / 5 = 2.4

2.4 • 15 = 36

I hope this helps!
8 0
3 years ago
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