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2 years ago

A hiker begins a trip by first walking 22.2 km

Mathematics

1 answer:

Dominik [7]2 years ago

4 0

9514 1404 393

Answer:

20.6 km

Step-by-step explanation:

Using (East, North) coordinates, the hiker's position ends up being ...

22.2(cos(-45°), sin(-45°)) +40.1(cos(65°), sin(65°))

We're only interested in the second coordinate of this total, which is ...

22.2sin(-45°) +40.1sin(65°) ≈ -15.698 +36.343 = 20.645 . . . km

The y-component of the hiker's position at the end of the second day is 20.6 km north of her starting location.

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A company borrows $75,000 for 8 years at a simple interest rate of 7.5%. Find the interest paid on the loan and the total amount

yan [13]

The interest is $58,760.84
The total is $133,760.84

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2 years ago

Edgar purchased a home for $182,100 to home appreciates about 3.5% each year what is the value of the home after 12 years

olasank [31]

Answer:

the value of the home after 12 years =$275,165.60

Step-by-step explanation:

To find value of appreciation after 12 years

We apply exponential growth formula

$y=a(1+r)^x$

Where a represents the initial amount (purchased amount)

a= 182,100

r = rate of interest ( appreciation percentage) = 3.5% = 0.035

x represents the time period= 12 years

Plug in all the values

$y=a(1+r)^x$

$y=182100(1+0.035)^12$

y= 275165.6025027724

y=$275165.60

5 0

3 years ago

Someone please help! I gave this extra points because the question has a picture. I will give thanks and 5 star for any answer.

tiny-mole [99]

Answer:

53°

Step-by-step explanation:

x + (2x + 21) = 180

(Corresponding angles &

Supplementary angles)

3x + 21 = 180

3x = 159

x = 53°

7 0

3 years ago

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skelet666 [1.2K]

Answer:

-18

Step-by-step explanation:

Hope it helps....................................................

6 0

2 years ago

The angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum o

Airida [17]

Step-by-step explanation:

It is given that the angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum of 540.

<u>Let me define the each terms.</u>

1. We know that each angle in a triangle is 60°, So there is a three angle in a regular triangle.

60° + 60° + 60°
180°

2. We know that each angle in a rectangle, is 90°, So there is a four angle in a regular rectangle.

90° + 90°+90°+90°
360°

Similarly,

There is 8 angle in a regular octagon and each angle measurement is 135°.

So, sum of the angles of an octagon = 135° × 8

Sum of the angles of an octagon = 1080°

Therefore, the required sum of the angles of an octagon is 1080°

6 0

3 years ago