All categories

2 years ago

an airplane lands at an airport 80 miles west and 30 miles north of where it took off. How far apart are the airports.

Mathematics

1 answer:

MArishka [77]2 years ago

7 0

Answer:

85.44 miles apart

Step-by-step explanation:

According to the question;

The airplane flew 80 miles west and 30 miles north

We are supposed to determine how far apart are the airports.

The shortest distance will be the displacement from the initial point.

We are going to use the Pythagoras theorem;
a² + b² = c² , where a and b are the legs of a right angled triangle and c is the hypotenuse.
Therefore, in this case; our legs will be 30 miles and 80 miles, so we need to determine the hypotenuse;

That is;

c² = 80² + 30²

= 6400 + 900

= 7300

c = √7300

= 85.44

Thus, the airports are 85.44 miles apart

You might be interested in

21/33 Marks

Marrrta [24]

Answer:

ooooooooooooooooooooooooooooooooo

Step-by-step explanation:

la de da de da la de da de deee sudennly you call my name an I lose my weight and I float up to the sky!

8 0

2 years ago

Nora invested $1,500 in a bond at a simple interest rate of 3%. How much will the bond be worth in total after 10 years?

attashe74 [19]

<h2>The bond will be worth in total after 10 years is =$1,950</h2>

Step-by-step explanation:

Given,

Nora invested $1,500 in at a bond simple interest rate of 3%

here P= $1500 R= 3% and t = 10year

Simple interest(I) = $\frac{P\times R \times t }{100}$

=$ $\frac{1500\times 3 \times 10}{100}$

=$ 450

<h3>The bond will be worth in total after 10 years is = $1,500+ $450</h3><h3> =$1,950</h3>

8 0

2 years ago

12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).

zhenek [66]

<u>Understanding:</u>

The sum of a geometric series is, $a+ar+ar^2+ar^3+...$ , with a being the start point and r is the common ratio. We can also use the following formula to make life easier $S_n=a\frac{1-r^n}{1-r}$ , a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

<u>Solution:</u>

Our start point is 1, $a=1$ ,

The common ratio is 5, $r=5$ ,

And finally, the number of terms is 7, $n=7$ .

$S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531$

The answer is [A] 19531.

7 0

2 years ago

Read 2 more answers

Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe

Fynjy0 [20]

Answer: The ramp would be 15.5 feet long.

Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

SinC = opposite/hypotenuse

Sin 15 = 4/b

By cross multiplication we now have

b = 4/Sin15

b = 4/0.2588

b = 15.4599

Approximately b = 15.5

Therefore the length of the ramp would be 15.5 feet

6 0

2 years ago

Mags and Vector are playing a board game. They use a spinner to determine if they should move forward or backward. They roll a n

Aleksandr-060686 [28]

Answer:

1/4

Step-by-step explanation:

The sample space of an event is the list of all possible outcomes.

Let F represent moving forward and B represent moving backward. This makes the sample space for the game

F1, F2, F3, F4, F5, F6

B1, B2, B3, B4, B5, B6

There are 6 ways to move backward; only 3 of these are even numbers.

This is 3 ways out of 12 possible moves; this makes the probability

3/12 = 1/4

4 0

2 years ago

Read 2 more answers