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jok3333 [9.3K]
3 years ago
11

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must tr

avel to return to their starting point?
A. 8.4 miles
B. 9.4 miles
C. 9.5 miles
D. 13.1 miles
*PLEASE SHOW WORK!*
Mathematics
1 answer:
Zina [86]3 years ago
4 0
You should use <span>Pythagorean theorem
A^2+B^2=C^2
8^2+5^2=C^2
64+25= C^2
89=C^2
C=9.4333 Mi
The answer is B</span>
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Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?
raketka [301]

Answer:

45 girls

Step-by-step explanation:

  • Remark
  • There are only 2 choices for gender. So if the class is 60% girls, the there must be 100 - 60 = 40% for the boys.
  • But we are told that the boys are 30 in number.
  • Let x = the total number of students.

Solution

  • 40/100 * x = 30              Change the % to a decimal
  • 0.4 x = 30                       Divide both sides by 0.4
  • 0.4 x / 0.4 = 30 / 0.4      Do the division
  • x = 30/0.4
  • x = 75 students in total

Formula

Total of Boys and Girls = Number of boys + number of girls.

Givens

  • Total = 75
  • Number of boys = 30

Solution II

  • 75 = x + 30                 Subtract 30 from each side
  • 75 - 30 = x +30 - 30
  • 45 = x
  • There are 45 girls in the class.
5 0
4 years ago
How many tenths are equivalent to 4/5
kramer

Answer: 8

Step-by-step explanation:

You can multiply 4/5 by 2/2, to get the equivalent fraction that is some amount of tenths. Then you'll end up with 8/10.

6 0
3 years ago
Figure A has a radius of 2 inches. It is dilated by a scale factor of 4 to form figure B. What is the radius of figure B?
snow_lady [41]
Given that figure A with radius of 2 inches is dilated to form figure B, the radius of B will be given by:
Radius B=(radius A)×(scale factor)
but
scale factor=4
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Radius of B will be:
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8 0
2 years ago
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