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Brilliant_brown [7]
3 years ago
11

Deborah hikes due south for 3 miles. She then turns due west and hikes 4 miles. What is the shortest distance between the starti

ng point and the ending point? 1 mile 2 miles 5 miles 6 miles
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Answer:

  5 miles

Step-by-step explanation:

The two legs of Deborah's hike form the right-angle legs of a right triangle. The shortest distance is then the hypotenuse of that triangle, found using the Pythagorean theorem.

  d^2 = 3^2 + 4^2 = 9 +16 = 25

  d = √25 = 5

Deborah ends 5 miles from her start.

You might be interested in
Question 1 (Essay Worth 10 points)
zysi [14]

$394.51 is future value of money after 2 years.

What future value means?

  • A current asset's future value (FV), which is based on an estimated rate of growth, is its value at a later time.
  • Investors and financial planners use the future value to project how much an investment made now will be worth in the future.

The method that results in more money after 2 years is Peggy's investment.

Which method results in more money in 2 years?

The formula for calculating the future value of an investment:

FV = P (1 + r)^nm

FV = Future value

P = Present value

R = interest rate

m = number of compounding

N = number of years

Future value of Larry's investment: $350 x [1 + (0.04/4)]^(4 x 2) = $379

Future value of Peggy's investment: $350 x [1 + (0.06/12)]^(12 x 2) = $394.51

Learn more about future value

brainly.com/question/14860893

#SPJ13

4 0
1 year ago
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma
deff fn [24]

Answer:

4.5 miles per hour

Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Distance = 3/4 of a mile

Time taken on Monday = 1/6 of an hour.

What is Selma's unit rate in miles per hour for Monday's run?

Unit rate in miles per hour for Monday's run = distance ÷ time taken

= 3/4 ÷ 1/6

= 3/4 × 6/1

= (3 * 6) / (4 * 1)

= 18/4

= 4.5 miles per hour

Unit rate in miles per hour for Monday's run = 4.5 miles per hour

3 0
3 years ago
Pls help and explain
Minchanka [31]

Answer:

C

Step-by-step explanation:

The answer is going to be miles per quart.  So B is wrong.

12 gallons allows you to travel 192 miles

1 gallon permits 192 / 12 = 16 miles / gallon. (Must be a truck of some kind).

1 gallon permits 16 miles of driving.

4 quarts (in 1 gallon) permits 16 miles of driving.

1 quart gives 16/4 = 4 miles / quart.

The answer is C.

==========================

There is a slightly shorter way

12 gallons contains 12 * 4 quarts = 48 quarts.

48 quarts permit 192 miles

1 quart permits 192/48 = 4 miles

4miles / quart.

The answer is still C

7 0
3 years ago
The plane flies 725 miles per hour. how many minutes will it take to fly 150 miles
ioda

Answer:

12.41 minutes.

Step-by-step explanation:

It is given in the question that a plane can fly 725 miles per hour.

So, the plane goes 725 miles in 1 hour i.e. 60 minutes.

Now, we have to find the time the plane takes to fly 150 miles.

As the plane is flying at a constant rate, so we can use the unitary method to get the required time.

Therefore, the plane will take \frac{60 \times 150}{725} = 12.41 minutes to fly 150 miles. (Answer)

3 0
3 years ago
What two number multiply to equal 28 but add up to equal 13?
makkiz [27]
Here the answer is http://prntscr.com/amkn6t thank you


6 0
3 years ago
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