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Bas_tet [7]
3 years ago
8

An airplane takes off 12.5 miles south of a city and flies due north at a constant speed of 170 miles per hour. What is the plan

e’s position relative to the city after 45 minutes?
A) 115 miles south

B) 115 miles north

C) 140 miles south

D) 140 miles north
Mathematics
1 answer:
atroni [7]3 years ago
7 0

Answer:

Option B

Step-by-step explanation:

Speed is distance moved per unit tine and is expressed as s=d/t

Making d the subject then

d=st

Where d is distance, s is speed and t is time taken in time.

Conversion

1 hour has 60 minutes hence 45 mins converted to hours will be 45/60=0.75

Substituting 0.75 hours for t and 170 mph for s then

d=0.75*170=127.5 miles due North

However, tge plane had initially moved 12.5 miles hence the relative distance due North will be 127.5-12.5=115 miles due North

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Answer:

1.7x25=42.5

70-4.5=27.5

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3 years ago
Bill's golf bag contains 9 white golf balls, 6 yellow golf balls, 1 orange golf ball, and 1 pink golf ball. Without looking, Tim
BaLLatris [955]

Answer:

The correct answer is 0.0330 and the events are independent.

Step-by-step explanation:

Total number of balls in Bill's golf bag = 17

Let A be the event of drawing a white ball and B be the event of drawing an orange ball.

Number of white balls Bill has in his bag is 9.

Probability of the event A in the first draw = \frac{9}{17}

Number of orange ball in Bill's bag is 1.

Probability of event B in the second draw = \frac{1}{16}

Thus total probability for Tim to tee off with a white ball and putt with an orange ball = \frac{9}{272} = 0.0330

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3 years ago
What is 9,800,000,000,100 in scientific notation?
guajiro [1.7K]
9.8000000001 x 10^12
7 0
3 years ago
Read 2 more answers
The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸
Lorico [155]

Answer:

The Width of the Rectangle =10y^6

\text{Length of the Rectangle}=210y^8

Step-by-step explanation:

The area of the rectangle =70y^8 30y^6.

We are told that the width of the rectangle is equal to the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Let us determine the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Express each term as a product to pick out the common factors:

70y^8 =7X10Xy^6Xy^2\\30y^6=3X10Xy^6

In the two terms, the common terms are 10 and y^6. Therefore their greatest monomial factor =10y^6

The Width of the Rectangle =10y^6

Recall: Area of a Rectangle =Length X Width

70y^8 30y^6=Length X 10y^6\\Length =70y^8 30y^6 \div 10y^6 \\=\dfrac{70X30Xy^8Xy^6}{10y^6} =210y^8\\\text{Length of the Rectangle}=210y^8

6 0
3 years ago
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Answer:

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Step-by-step explanation:

4 Months is -312 so dividing by 4 will give the decrease of one month:

-312 ÷ 4 = -78

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3 years ago
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