What is the base of the trapezoid with an area of 150 a height of 10 and a base of 14?

Answers

Answer 1

Answer: The formula for the area of a trapezoid is:

A= (a+b)/2*h

A=150
h=10
b=14
a=?

So we need to solve for a. Let's plug in the values that we do know...

A= (a+b)/2*h
150=(a+14)/2*10
150=(a/2+14/2)*10
150=(a/2+7)*10
Divide both sides by 10
15=a/2+7
subtract 7 from both sides
8=a/2
multiply both sides by 2
16=a

The other base is 16

Answer 2

Answer: A is the area of a trapezoid
a and b are the lengths of its two bases
h is the height
Let x be the shorter base.
Then the longer base is x+2
Substituting the following into the formula
a = x

b = x+2
A = 150
h = 10
we have

Solving for x, we have
So the shorter one is 14 meters long, the longer one is 16 meters long
I hope i helped you :-0

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How is the difference 14/15-5/12 written as a decimal?

Answers

14 / 15 - 5 / 12 LCM of 12 and 15 is 60.

(14/15)*(60/60) - (5/12)*(60/60)

= 56 / 60 - 25 / 60

= (56 - 25) / 60

= 31 / 60. To change to decimal, use your calculator.

= 0.51667

The number 6 is halfway between 4.5 and 7.5.Answer the missing numbers below.

The number 6 is halfway between 2.8 and .......
The number 6 is halfway between -12 and .......

Answers

$6=(2.8+x)/(2)\n 12=2.8+x\n x=9.2\n \n \n 6=(-12+x)/(2)\n 12=-12+x\n x=24$

Math Twelve hundred students participated in the school chemistry contest. A random sample (Sample 1) from grades 9 and 10 showed scores of: 84, 50, 99, 83, 50, 78, 88, 85, 77, and 96.

A random sample (Sample 2) of grades 11 and 12 showed scores of: 57, 62, 86, 82, 74, 78, 96, 90, 97, and 83.

What is the median of Sample 1?
What is the median of Sample 2?

Answers

The median of Sample 1 is 83.5 and median of Sample 2 is 82.5.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

A random sample (Sample 1) from grades 9 and 10 showed scores of:

84, 50, 99, 83, 50, 78, 88, 85, 77, and 96.

Ascending order: 50, 50, 77, 78, 83, 84, 85, 88, 96, 99

The sample has an even number of scores, so the median is the average of the two middle scores:

(83 + 84)/2

= 83.5

Therefore, the median of Sample 1 is 83.5.

For sample 2, the data set is 57, 62, 86, 82, 74, 78, 96, 90, 97, and 83.

Ascending order of scores: 57, 62, 74, 78, 82, 83, 86, 90, 96, 97

The sample has an even number of scores,

so the median is the average of the two middle scores: (82 + 83)/2

= 82.5

Hence, the median of Sample 1 is 83.5 and median of Sample 2 is 82.5.

To learn more on Statistics click:

brainly.com/question/30218856

#SPJ3

Answer:

Step-by-step explanation:

The cost for Andrea to produce several units of a certain item is $336 plus $12 per unit. She sells this item for $28 per unit.How many units of the item must she produce and sell so that the amount of money she earns in sales equals the amount of money she spends in production costs? How much money would that be?

Answers

Profit will be achieved when the money earned is greater than the money spent so,
336 + (n*12) = n*28 any subsequent units sold would result in profit
336 = 28n - 12n
336 = 16n
=> n = 336/16 = 21
21 units must be sold to draw even any more would result in profit

What is 3,397 rounded yo the nearest thousand

Answers

Rounding 3,397 to the nearest thousand would be 3,000

It would be 3000 becuase round the 3 in the hundres place to the nearest place and it would be a zero

to take sweepstakes for the largest pumpkin crop at the Riverside County Fair the average weight of Ethan's to pumpkins must be greater than 875 lb one of his pumpkins is 903 lb what is the least amount of pounds II pumpkin could weigh in order for Ethan to win the prize

Answers

Answer:847 pounds

Step-by-step explanation:

Let $w$ be the weight of the second pumpkin.

Given that weight of first pumpkin is $903$ pounds.

Since we need the weight of the second pumpkin to be minimum,the average weight of the two pumpkins must be just equal to the required weight to win.

Given that the required weight to win is $875$ pounds.

So, $875=(w+903)/(2)$

$1750=w+903$

$w=847$ pounds

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