A man has 14 coins in his pocket, all of which are dimes and quarters. if the total value of his change is $1.70, how many dimes
1 answer:
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Answer:
X = 25
Step-by-step explanation:
To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.
Perimeter of an equilaterial triangle = 3 * s
S = side length
Perimeter = 150cm
150 = 3s
S = 150 / 3
S = 50cm
The side lengths are 50cm each since they are all equal.
To find x,
We have to divide the triangle equally into two different part.
Check the first attachment for better illustration on how the equilaterial triangle is.
Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.
From the right angle triangle, we can use pythagorean theorem to solve for x
a² = b² + c²
a = 50cm
b = 25cm
c = x√(3)
50² = [x√(3)]² + 25²
2500 = x² * 3 + 625
2500 - 625 = 3x²
1875 = 3x²
X² = 1875 / 3
X² = 625
X = √(625)
X = 25
Answer:
The correct option is 1, 4 and 6.
Step-by-step explanation:
The given two-way table is
WIN LOSS TOTAL
HOME GAMES 6 10 16
AWAY GAMES 3 8 11
TOTAL 9 18 27
Total number of home games won by team is 6 and total number of away games won by team is 3. It means the team is twice as likely to win a home game as they are an away game.
The correct option is 1.
Total number of home games = 16.
Home game won by team is
Option 2 is incorrect.
Total games = 27
Total games won by the team = 9
Total part of games won by team is
Option 3 is incorrect.
The team played a total of 27 games.
Option 4 is correct.
The team won a total of 9 games.
Option 5 is incorrect.
Total home games loose by team = 10
Total away games loose by team = 8
The team lost more home games than away games.
Option 6 is correct.
Therefore the correct option is 1, 4 and 6.