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melomori [17]
3 years ago
7

The height of a trapezoid is 6 in. And its area is 48 in2. One base of the trapezoid is 6 inches longer than the other base. Wha

t are the lengths of the bases? Complete the explanation of how you found your answer.
Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

  • 5 in
  • 11 in

Step-by-step explanation:

Let x represent the length of the shorter base in inches. Then the longer base has length x+6. The area of the trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h

Filling in the values we know, we have ...

  48 = (1/2)(x +(x+6))(6)

  16 = 2x +6 . . . . . divide by 3

  10 = 2x . . . . . . . . subtract 6

  5 = x . . . . . . . . . . divide by 2

  (x+6) = 11 . . . . . . find the longer base

The lengths of the bases are 5 inches and 11 inches. We found them by solving an equation relating area to base length.

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PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
Paraphin [41]

Answer:

B. 5x - 4y = 12

Step-by-step explanation:

Let's convert this to slope-intercept form to interpret the equation easier.

5x - 4y = 12

Subtract 5x from both sides.

-4y = -5x + 12

Divide both sides by -4.

y = 5/4x - 3

Based on this, we know the slope is 5/4 and the y-intercept is (0, -3). When you count the rise over run in the picture and look at the y-intercept, they match.

7 0
3 years ago
Which of the following are important properties of the arithmetic mean? Check all that apply. Multiple select question. The mean
vovikov84 [41]

Answer:

All of the values in the data are used in calculating the mean.

The sum of the deviations is zero.

There is only one mean for a set of data.

Step-by-step explanation:

Required

True statement about arithmetic mean

(a) False

The mean can be equal to, greater than or less than the median

(b) True

The arithmetic mean is the summation of all data divided by the number of data; hence, all values are included.

(c) True

All mean literally represent the distance of each value from the average; so,  when each value used in calculating the mean is subtracted from the calculated mean, then the end result is 0. i.e.\sum(x - \bar x) = 0

(d) True

The mean value of a distribution is always 1 value. When more values are added to the existing values or some values are removed from the existing values, the mean value will change.

(e) False

Nominal data are not numerical or quantitative data; hence, the mean cannot be calculated.

3 0
3 years ago
Using spreadsheets to Organize Data (PLEASE HELP)
katrin [286]
I can give you the first half!
1. D2 - hours worked on monday, 3hrs
2. E2 - money earned on monday, $15
3. D3 - hours worked on tuesday, 3 hrs
4. E3 - money earned on tuesday, $15
5. D4 - hours worked on thursday, 4 hrs
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6 0
2 years ago
Can u help me solve this pls
lisov135 [29]
Answer:

First option: (Substitute)

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3 0
2 years ago
Read 2 more answers
75 girls at a summer camp were asked to complete a survey about their favorite outdoor activity. 27 girls chose swimming and 32
Oduvanchick [21]

ANSWER

Find out the expression gives the percent of survey participants who chose swimming.

To proof

As given

75 girls at a summer camp were asked to complete a survey about their favorite outdoor activity.

27 girls chose swimming

32 girls chose hiking.

FORMULA

Percentage = \frac{Part\times100}{whole}

total girls  = 75

girls chose swimming = 27

put in the formula

= \frac{27\times100}{75}

= 36%

36% of survey participants who chose swimming

Hence proved

3 0
3 years ago
Read 2 more answers
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