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aliina [53]
3 years ago
5

One day, a person went to a horse racing area. instead of counting the number of humans and horses, he counted 72 heads and 192

legs. how many humans and horses were there?
Mathematics
1 answer:
Lunna [17]3 years ago
8 0
H-human a-horse
h+a= 72
2h+4a=192

then do h=72-a
substitute that into the second equation
2(72-a)+4a=192

multiple out
144-2a+4a=192
2a=48
a=24
substitute a into the first equation
h+24=72
h=48
humans- 48
horses- 24
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1529.3 square unit is the area of the cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks, given that the property has 67 feet of frontage on one sidewalk, and 48 feet of frontage on another; these two sidewalks intersect at a 72° angle. This can obtained by using the formula of Area of a Triangle with 2 Sides and Included Angle.

<h3>Find the area of the cheetah area at the zoo:</h3>

Area of a triangle is obtained using the formula of Area of a Triangle with 2 Sides and Included Angle.

If in a triangle ΔABC,

  • 1/2 × bc × sin(A), if b and c are two sides of a triangle and angle A is the included angle
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Here it is given that,

67 feet and 48 feet are the sides of the triangular space and angle 72° is the included angle.

By using the formula of Area of a Triangle with 2 Sides and Included Angle,

Area of the cheetah area = 1/2 × bc × sin(A)

Area of the cheetah area = 1/2 × (67)(48) × sin(72°)

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Area of the cheetah area = 1608 × 0.951056516

Area of the cheetah area = 1529.29888 ≈ 1529.3 square unit

             

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Learn more about area of triangle here:

brainly.com/question/19305981

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