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3 years ago

A dog walks due east 180 ft to a corner.

Mathematics

1 answer:

slega [8]3 years ago

5 0

Answer:

Area = 29284.87 ft²

Step-by-step explanation:

I've drawn a triangle to depict the movement of the dog with the angle and dimensions.

From the attached triangle, we see that the starting point is C, the first point is A and the second point is B.

Let's find the third side from the image using law of cosine.

Thus;

b² = a² + c² - 2ac cos B

Thus;

b² = 180² + 329² - 2(180 × 329)cos 81.5

b² = 32400 + 108241 - 17506.55

b² = 123134.45

b = √123134.45

b = 350.91 ft

We calculate the area of the triangle using heron's formula.

Area = √(p(p − a)(p − b)(p − c))

Where p = (a + b + c)/2 = (180 + 350.91 + 329)/2 = 429.955 ft

Area = √(429.955(429.955 - 180)(429.955 - 350.91)(429.955 - 329)

Area = 29284.886 ft²

To the nearest Hundredth gives;

Area = 29284.87 ft²

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3 years ago

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DaniilM [7]

Answer:

x=-18

Step-by-step explanation:

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x+4-4=-14-4

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Hope this helps!

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3 years ago

Make a equation for the scatter plot line

aalyn [17]

Answer:

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Step-by-step explanation:

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3 years ago

Skylar owns a trucking company. For every truck that goes out, Skylar must pay the driver $11 per hour of driving and also has a

jeyben [28]

Answer:

The set of needed equations is

h = 30 m

11 m + 3 h = 909 where

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h : distance covered in m hours

Step-by-step explanation:

Here, according to the question:

The per hour rate of driver = $11

The gas maintenance expense = $3 per mile.

The total distance covered by drives is 30 miles per hour.

The total expenses paid to driver = $909

Now, let us assume the driver drove for m hours.

The average speed of driver was 30 miles / hour

⇒ Driver covers 30 miles in 1 hour

SO, distance covered in m hours = h = m x 30 = 30 m

or, h = 30 m

So,according to the question, the total amount paid :

Charges of m hours driving + maintenance charges for h miles

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3 years ago

Kalsom answers 25 questions in math tests. He scored 81% to 93%. Calculate all possible number of questions successfully answere

cricket20 [7]

Answer:

21 and 22

Step-by-step explanation:

Let's work backward from that 81%: x/25 = 0.81 yields x = 20.25. Nominally, 20.25 / 25 = 0.81, but x must be an integer. Let's round 20.25 off to 20.

Thus, if Kalsom got 81%, it was a result of his having done 20 questions correctly.

81% corresponds to 20 questions correct;

82% to 20.5 questions correct, or, rounding up, to 21 questions correct;

83% to 20.75, or 21;

84% to 21 questions correct; this is the only result that makes sense (whole number of questions answered correctly)

85% to 21.25;

86% to 21.5;

87% to 21.75;

88% to 22 questions correct (this makes sense, unlike the last three)

89% to 22.25;

90% to 22.5;

91% to 22.75;

Assuming that the number of questions correct MUST be integer, then the possible number correct are 21 and 22, corresponding to 84% and 88% respectively.

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3 years ago