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3 years ago

What is the length of the hypotenuse for a right triangle with legs of length 9 and 40? A) 41 B) 43 C) 45 D) 47

Mathematics

1 answer:

Katena32 [7]3 years ago

8 0

Answer:

A) 41

Step-by-step explanation:

Let the hypotenuse be denoted by h

perpendicular as p and base as b

According to the Pythagoras theorem

h²=p²+b²

$h = \sqrt{ {p}^{2} + {b}^{2} }$

$h = \sqrt{ {(40)}^{2} + {(9)}^{2} }$

$h = \sqrt{1600 + 81} = \sqrt{1681}$

$h = 41$

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3 years ago

Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investm

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2 years ago

The production cost, represented by y, of smart phone devices are equal to the product of computing components (a) and the squar

Marta_Voda [28]

The production cost is an illustration of a quadratic function

<h3>How to determine the equation</h3>

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Computing components (a)
Number of devices (x),
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Using the instructions in the question, the equation of the production cost would be:

$y =ax^2 + bx -c$

Hence, the production cost is $y =ax^2 + bx -c$

<h3>Change the subject of the equation</h3>

In (a), we have:

$y =ax^2 + bx -c$

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$y - bx + c = ax^2$

Divide through by x^2

$a = \frac{y - bx + c}{x^2}$

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Read more about equations and functions at:

brainly.com/question/1214333

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2 years ago

Read 2 more answers

A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?

AysviL [449]

Answer:

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

<u><em>Hence the perimeter of the resulting triangle= 10+10+10= 30cm</em></u>

8 0

2 years ago