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2 years ago

What is the area of the trapezoid?

Mathematics

1 answer:

DanielleElmas [232]2 years ago

7 0

Answer:

C) 100 m^2

Step-by-step explanation:

Area of a trapezoid= h*[(b1+b2)/2]

h=10

b1=8

b2=12

Therefore:

A=10*[(8+12)/2]

A=10*(20/2)

A=10*10

A=100

So the area of the trapezoid is 100 m^2

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Flying against the wind, an airplane travels 5760 kilometers in 6 hours. Flying with the wind, the same plane travels 6300 kilom

Aleks [24]

<h2>Speed of plane = 1110 kmph</h2><h2>Speed of wind = 150 kmph</h2>

Step-by-step explanation:

Let the speed of plane be p and speed of wind be w.

Flying against the wind, an airplane travels 5760 kilometers in 6 hours.

Here

Speed = (p-w) kmph

Time = 6 hours

Distance = 5760 kmph

Distance = Speed x Time

5760 = (p-w) x 6

p-w = 960 -----eqn 1

Flying with the wind, the same plane travels 6300 kilometers in 5 hours.

Here

Speed = (p+w) kmph

Time = 5 hours

Distance = 6300 kmph

Distance = Speed x Time

6300 = (p+w) x 5

p+w = 1260 -----eqn 2

eqn 1 + eqn 2

p-w + p +w = 960 + 1260

2p = 2220

p = 1110 kmph

Substituting in eqn 2

1110 + w = 1260

w = 150 kmph

Speed of plane = 1110 kmph

Speed of wind = 150 kmph

5 0

3 years ago

Draw a number line please

Mkey [24]

Answer:

1 2 3 4 5 6 7 8 9 10.... etc

Step-by-step explanation:

What number goes between the numbers that I put.

6 0

2 years ago

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumferen

Semenov [28]

the volume of the sculpture is $Volume = 64.11ft^3$ .

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

Here we have , An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, We need to find the volume of the sculpture . Let's find out:

We know that

⇒ $Circumference = 2\pi r$

According to question ,

⇒ $21.980 = 2\pi r$

⇒ $\frac{21.980}{2\pi} = r$

⇒ $r=3.5$

Now , We know that Volume of cone :

⇒ $Volume = \frac{1}{3}\pi r^2h$

⇒ $Volume = \frac{1}{3}(3.14) (3.5)^25$

⇒ $Volume = 64.11ft^3$

Therefore , the volume of the sculpture is $Volume = 64.11ft^3$ .

4 0

3 years ago

I don't understand the MAD can someone explain it to me.

kompoz [17]

Answer: <em>Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. </em>

<u><em>hope this helps.</em></u>

6 0

3 years ago

A golfer who played 91 rounds of golf last year would like to calculate her median score. When all 91 scores are ordered from sm

lubasha [3.4K]

Answer:

The median score will be given by the 46th position.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 91

Formula:

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

When all the scores are sorted from the largest to the smallest, the, the median value is given by:

$\text{Median} = \dfrac{91 + 1}{2}^{th}\text{ term} = \dfrac{92}{2}^{th}\text{ term} = 46^{th}\text{ term}$

Thus, the median score will be given by the 46th position.

7 0

3 years ago