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dimaraw [331]
3 years ago
14

If the length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10, find x.

Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:

  9

Step-by-step explanation:

The median is the average of the base lengths. Where "b" is the length of the other base, we have ...

  36 = (44 +b)/2

  b = 72 -44 = 28

We are told this is the same as 2x+10, so we have ...

  28 = 2x +10

  18 = 2x . . . . . subtract 10

  9 = x . . . . . . . divide by 2

The value of x is 9.

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Answer:

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Step-by-step explanation:

<u>Full volume is:</u>

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<u>Volume of tea required:</u>

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4 0
3 years ago
An alloy is composed of nickel, zinc, and copper in a 7:2:9 ratio. How many kilograms of each metal is needed to make 3.8 kg of
Tamiku [17]
Ni : Zn: Cu = 7:2:9 =7x : 2x : 9x

7x+2x+9x = 3.8
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Ni:   7x=7*0.21=1.47 ≈1.5 kg
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6 0
3 years ago
What is y= 29/5x as a rate of change
mylen [45]
The rate of change is -29/5x^2
8 0
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You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,
babymother [125]

Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}

EMI=605.11

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}

EMI=203.27

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

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Hence, The total amount of the mortgage is $291,016.80

3 0
3 years ago
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Svetradugi [14.3K]

Answer:

D. 3 1/4

Step-by-step explanation:

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