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natima [27]
3 years ago
9

The sign below is located at the start of Pinecone trail and shows the distances from the sign to different points of interest a

long the trail. Sage hiked from the start of the trail to Lookout Point. She then hiked back to Giant Boulder to camp for the night. What was the total distance, in miles, that Sage hiked?

Mathematics
1 answer:
schepotkina [342]3 years ago
8 0

Answer:

Total distance = 53/4 miles = 13.25 miles

Step-by-step explanation:

Sage hiked from the start of the trail to Lookout Point.

Distance = 8 3/4 miles = 35/4 miles

She then hiked back to Giant Boulder

This means she traveled an additional

8 3/4 miles  - 4 1/4 miles = 35/4 mi - 17/4 mi = 18/4 mi = 9/2 mi

The total distance traveled by sage is the sum of both trajectories

Total distance = 35/4 miles + 9/2 miles =  53/4 miles

Total distance = 13.25 miles

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We are given : Distance of the swing = 100 feet.

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Angle between swing and slide = 30 degrees.

We need to find the distance between the swing and the slide.

Distance of swing, distance of slide and distance between the swing and the slide form a triangle.

We can apply cosine law to find the distance between the swing and the slide.

c^2 = a^2 +b^2  - 2ab cos C

c^2 = 100^2 +80^2 - 2(100)(80) cos 30°

c^2 = 10000 + 6400 -2* 8000 (\frac{\sqrt{3}} 2)}

c^2 = 16400 - 8000\sqrt{3}

c^2 = 16400 - 13856

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<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>
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3 years ago
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b. 55%

c. 70%

Step-by-step explanation:

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The probability is 5%

b. The probability that the customer will need an oil change, but not a tire rotation (P(O)) is :

P(O)+P(O\&T) = 0.60\\P(O\&T) = 0.05\\P(O) =0.60-0.05 = 0.55 = 55\%

The probability is 55%

c. The probability that the customer will want exactly one of these two services (P(O)+P(T)) is:

P(O)+P(T)+P(O\&T) = 0.75\\P(O\&T) = 0.05\\P(O)+P(T) =0.75-0.05 = 0.70 = 70\%

The probability is 70%

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3 years ago
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Frank purchased a new ice box having 2kg capacity. He wants it to be full with ice cubes. He measured the ice cubes to be 3.5 cm
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Answer:

Frank can put 5 cubes in the box.

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Formula:

Mass = Volume × density.

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Given that,

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So,the mass of the cubes is 2 kg.

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The volume of a cube is = Side ^3

The volume of a each ice cubes is =3.5^3 cm³

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The ice cubes have a density of 0.914 g/ml

The mass of each cubes are

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