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Phoenix [80]
3 years ago
9

Use the converse of the Pythagorean theorem to determine if the three given side lengths form a right triangle. 14 cm, 48 cm, 50

cm
Mathematics
1 answer:
Alex73 [517]3 years ago
4 0
So Pythagoras says that in a right triangle 

a^2 = b^2 + c^2

where a is the longest side and b, c are shorter sides

So using your information let a = 50, b = 48 and c = 14

substitute them into the formula ans see if the left side of the equation equals the right side. 

If the left side does equal the right side the triangle is right angled. 

If it doesn't it's not right angled. 
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Use the graph to complete the following. The probability that a boxer weighs between 60 and 80 pounds is %
AlexFokin [52]

Answer:

95%

Step-by-step explanation:

The Empirical rule, also the 68–95–99.7 rule, states that for a population that is approximately normal or symmetrical, nearly all of the data values will lie within three standard deviations of the mean;

68% of data values will fall within one standard deviation from the mean

95% of data values will fall within two standard deviation from the mean

99.7% of data values will fall within three standard deviation from the mean

From the graph given, we note that the weights 60 and 80 pounds fall within two standard deviations from the mean;

70 ± (2*5) = 70 ± 10 = (60, 80)

70 is the mean, 5 the standard deviation and 2 the number of standard deviations from the mean. From the Empirical rule we can conclude that the probability that a boxer weighs between 60 and 80 pounds is 95%

7 0
3 years ago
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What is ( 13824 - 11 ) x 9
nexus9112 [7]

[ Answer ]

\boxed{124317}

[ Explanation ]

(13824 - 11) * 9

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

13824 - 11 = 13813

Multiply

13813 * 9 = 124317

\boxed{[ \ Eclipsed \ ]}

8 0
3 years ago
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What is the slope of a line that is perpendicular to the line x = –3? –3 0 1/3 undefined
Elena L [17]

Answer:

slope = 0

Step-by-step explanation:

The line with equation x = - 3 is a vertical line parallel to the y- axis

A perpendicular line is therefore a horizontal line parallel to the x- axis

The slope of the x- axis is zero, hence the slope of the horizontal line is

slope = 0

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3 years ago
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Step-by-step explanation:

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2 years ago
Mrs Dang drove her daughter to school at the average speed of 45 miles per hour. She returned home by the same route at the aver
drek231 [11]

Answer: Time it took her to get to the school is 0.6 hours

The distance of the school from their home is 27 miles

Step-by-step explanation:

Mrs Dang drove her daughter to school at the average speed of 45 miles per hour.

Let x miles = distance from the school to their home.

Distance = speed × time

Time = distance / speed

Time used in going to school will be

x/45

She returned home by the same route. This means that distance back home is also x miles.

She returned at an average speed of 30 miles per hour.

Time used in returning home from school will be x/30

x/45

If the trip took one half hour, then the time spent in going to school and the time spent in returning is 1 1/2 hours = 1.5 hours. Therefore

x/30 + x/45 = 1.5

(15x + 10x) /450 = 1.5

15x + 10x = 450 × 1.5 = 675

25x = 675

x = 675/25 = 27

Time it took her to get to the school will be x/45

= 27/45 = 0.6 hours

8 0
3 years ago
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