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r-ruslan [8.4K]
3 years ago
13

How is the quotient of 8,552 and 16 determined using an area model?

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

It is 88

Step-by-step explanation:

It is so because fist you do all the math leading it to be 88.

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Rounded 7,499,846 rounded to the nearest 10,000
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Given: △EDN∼△LKI, DQ , KO are altitudes, DN=12, KI=4, DQ=KO+6. Find: QN and OI.
fgiga [73]

Answer:

  • QN = 3√7
  • OI = √7

Step-by-step explanation:

The ratio of corresponding sides DN and KI is 12 : 4 = 3 : 1. The same ratio applies to altitudes DQ and KO. Since the difference between these altitudes is 6 and the difference between their ratio units is 3-1 = 2, each ratio unit must stand for 6/2 = 3 units of linear measure. That is, ...

  DQ = (3 units)·3 = 9 units

  KO = (3 units)·1 = 3 units

Then the base lengths QN and OI can be found from the Pythagorean theorem:

  KI² = KO² +OI²

  4² = 3² +OI²

  OI = √(16 -9)

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3 years ago
Which statement best describes the function below? F(x)=2x^2-3x+1
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3 years ago
Mr. Capildeo's salary sfter a 5% increase was $6255 (a) calculage his salary if a 3% incrwae had been given instead (b) Calculat
n200080 [17]

Answer:

Original Salary: 5,957.14

Increase in 3%: 6,135.85

Step-by-step explanation:

So when something increases by x%, the new value is (100+x)% the original value. So 6255, is 105% the original value. This means to find the original value, we have to find the number that has 6255 as 105% of it's value. Whenever you try to find x% of a number, you multiply it by the decimal value of the percentage, which is found by dividing by 100. So to find x%, you do: o*\frac{x}{100} where o = original value, x=percent. In this case the percent is 105%, which when divided by 100 is 1.05. So this gives us the equation: o*1.05=6255 \implies o = \frac{6255}{1.05} = 5,957.14. This is his original salary. You need to do this process, do not make the mistake of subtracting 5% from 6255. This is because 5% of 6255 does not equal the 5% of the original value. 5% of 6255 should be greater than 5% of the original value, since the new value is an increase of 5%. So since we have his original salary, we can calculate the salary increase had it been 3%. to do this we multiply by 1.03 (103% divided by 100). This gives us the equation: 5,957.14*1.03=6,135.85

5 0
1 year ago
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