A triangle has sides with lengths of 72 millimeters, 90 millimeters, and 54 millimeters. Is it a right triangle?

Mathematics

1 answer:

Travka [436]3 years ago

7 0

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

a^2+b^2=c^2

The longest side is the hypotenuse so c^2 would be 90.

72^2+54^2=90^2

72 and 54 can be either a or b.

Solve for all exponents: 5184+2916=8100.

That equation is true, so the triangle is a right triangle.

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Graph the function y = 1 /3 x − 2.

Virty [35]

Answer:

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Step-by-step explanation:

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3 years ago

Please Help!! I will give brainliest to the quick and correct answer

klio [65]

Answer:

The correct option is the graph on the bottom right whose screen grab is attached (please find)

Step-by-step explanation:

The information given are;

The required model height for the designed clothes should be less than or equal to 5 feet 10 inches

The equation for the variance in height is of the straight line form;

y = m·x + c

Where x is the height in inches

Given that the maximum height allowable is 70 inches, when x = 0 we have;

y = m·0 + c = 70

Therefore, c = 70

Also when the variance = 0 the maximum height should be 70 which gives the x and y-intercepts as 70 and 70 respectively such that m = 1

The equation becomes;

y ≤ x + 70

Also when x > 70, we have y ≤ $\mid$ -x + 70 $\mid$ with a slope of -1

To graph an inequality, we shade the area of interest which in this case of ≤ is on the lower side of the solid line and the graph that can be used to determine the possible variance levels that would result in an acceptable height is the bottom right inequality graph.