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3 years ago

1. The hypotenuse of a right triangle measures 2 sqrt 15 centimeters and its shorter leg measures 2 sqrt 6

Mathematics

2 answers:

Dominik [7]3 years ago

8 0

Answer:

Step-by-step explanation:

First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.

2√15² = 2√6² + b²

60 = 24 + b²

Subtract 24

36 = b²

b = 6

Now, that we have all three sides, we will use the law of cosines to figure out the angle.

c² = a² + b² - 2abCosC°

Substitute the values in.

6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°

36 = 60 + 24 - 2(37.947331922)CosC°

36 = 60 + 24 - 75.894663844CosC°

36 = 84 - 75.894663844CosC°

Subtract 84

-48 = -75.9CosC°

0.63241106719 = CosC°

Arccos (0.63241106719) = 50.77176844°

The largest acute angle is approximately 50.8°

strojnjashka [21]3 years ago

8 0

Answer:

50.8 degrees

Step-by-step explanation:

cos^(-1)(sqrt(6)/sqrt(15)) = 50.8

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3 years ago

Determine the equation of the graph shown y = a(x - h)^2 + k

LUCKY_DIMON [66]

Answer:

$y=-(x+1)^2+4$

Step-by-step explanation:

we know that

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In this problem we have

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3 years ago

If the dimensions of a parallelogram are doubled, the perimeter will also be doubled. True False

Luda [366]

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3 years ago

Read 2 more answers

1. A scooter is travelling at a constant speed of 75 km/h

GuDViN [60]

1.
75 km/h
75*20= 1500
Traveled 1500 kilometers

2.
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3 years ago

A retail shop is replacing their flooring with new tile. New tile will go in the point shaded area below. Determine the total sq

galben [10]

Answer:

137 ft²

Step-by-step explanation:

The shop is rectangular in shape. The area of a rectangle is given by:

Area = length * width

Since the length of the shop = 20 ft and the width = 10 ft, therefore:

Area of the shop = length * width = 20 ft * 10 ft = 200 ft²

The part that would not be tiled is of triangular shape. The area of a triangle is given as:

Area = (1/2) * base * height

The base of the triangle = 18 ft, the height = 7 ft. Hence:

Area of non tiled part = (1/2) * base * height = (1/2) * 18 ft * 7 ft = 63 ft²

The total square feet of tile needed to complete the job = Area of shop - Area of non tiled part

The total square feet of tile needed to complete the job = 200 ft² - 63 ft² = 137 ft²

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3 years ago