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kifflom [539]
3 years ago
9

If the sides of a square measure 10 units than find the length of the diagonal

Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0
Use pythagorean’s theorem
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A car rents for $40 per day plus 18¢ per mile. You are on a daily budge of $67. What mileage will allow you to stay within your
IrinaVladis [17]
Out of your $67 for the day, $40 of it goes to the rental before you even drive it out of the lot.  That leaves you $27 a day for mileage.

$27 / $0.18 per mile = <u>150 miles</u> per day, tops.
4 0
3 years ago
Read 2 more answers
Need help with #11. The answer is about 13.86 years but show work please.
tangare [24]

Answer:

13.86

Step-by-step explanation:

formula for cont. compounding interest is

Amount = Principal * e^rt

in this case the principal is 5000, and the amount is 10000 (double). the rate is 5% or 0.05. and t is what we are solving for.

sub in to get:

10000 = 5000e^0.05t

2 = e^0.05t

now convert to log form.

ln 2 = 0.05t

ln 2 / 0.05 = t

punch that into your calculator and you get 13.86 years

6 0
3 years ago
What is 25 divided by 625?
scoray [572]
25/ 625 = 5 / 125 = 1/15
8 0
3 years ago
The sides of a triangle are 1, x, and x2. what are possible values of x?
Whitepunk [10]
The sides of the triangle are given as 1, x, and x².

The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.

Consider 3 cases
Case (a):  x < 1,
      Then in decreasing size, the lengths are 1, x, and x².
      We require that x² + x ≥ 1
      Solve x² + x - 1 = 
      x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
      Reject the negative length.
     Therefore, the lengths are 0.382, 0.618 and 1.

Case (b): x = 1
   This creates an equilateral triangle with equal sides
    The sides are 1, 1 and 1.

Case (c): x>1
  In increasing order, the lengths are 1, x, and x².
  We require that x + 1 ≥ x²
  Solve x² - x - 1 = 0
  x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
  Reject the negative answr.
 The lengths are 1, 1.618 and 2.618.

Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.

7 0
3 years ago
Omar can jog 3 2/5 miles in 2/3 of an hour. Find his average speed in miles per hour.
Fudgin [204]

Answer:

9.6miles per hour

Step-by-step explanation:

2/3=40min

32/5 /40=0.16

0.16miles per min

0.16*60=9.6

3 0
3 years ago
Read 2 more answers
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