Jack walks 30 miles at 30 degrees north of east, then walks 30 miles at 45 degrees north of east. how many miles east of his starting point will he end up?

Answers

Answer 1
Answer: We are given with the distance traveled and the direction
30 miles at 30 degrees north of east
30 miles at 45 degrees north of east
You calculate the horizontal and vertical component using these equations
x = d cos 
θ
y = d cos θ

where d is the distance traveled

Then, you get the distance from the starting point using the formula
D = √[(∑x)² + (∑y)²]

The answer is
59.47 miles
Answer 2
Answer: Hello there.

Jack walks 30 miles at 30 degrees north of east, then walks 30 miles at 45 degrees north of east. how many miles east of his starting point will he end up?
59.47 miles

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How do i solve this2/3 divided by 8/7 =

Answers

2/3  /   8/7  flip the second fraction and multiply straight across

2/3  x  7/8   2 x 7 = 14

                   3 x 8 = 24 so you have   14/24  if you need to simplify, since both numerator and denominator are even so divide by 2. Which gives you  7/12

Hope this helps you :) 


To solve that you're gonna have to multiply 2/3 by the reciprocal of 8/7 which is 7/8.

2/3 * 7/8 = (2 * 7)/(3 * 8)

14/24 reduces to 7/12 or .5833 

What is the exact area of a circle with a diameter of 18 feet

Answers

the exact answer is in the file below
Use the formula A= 3.14 (pi)r² 
*R is radius*

A=3.14(9)²

A=3.14(81)

A= 256.34

Hoped this helped.

~Bob Ross®

Round to the nearest hundredth
$25,625 divided by 16.5

Answers

Answer:

Approximately 1,552.42.

Step-by-step explanation:

To round the result of $25,625 divided by 16.5 to the nearest hundredth, you need to perform the division first and then round the quotient. Here are the steps:

1. Divide $25,625 by 16.5:

$25,625 ÷ 16.5 = 1,552.42

2. Now, round the quotient, 1,552.42, to the nearest hundredth.

The hundredths place is the second decimal place after the decimal point.

- If the third decimal place is 5 or greater, you round up the second decimal place.

- If the third decimal place is less than 5, you keep the second decimal place as it is.

In this case, the second decimal place is 4, so we keep it as it is.

Therefore, rounding $25,625 divided by 16.5 to the nearest hundredth gives us:

$25,625 ÷ 16.5 ≈ 1,552.42

So, when rounded to the nearest hundredth, $25,625 divided by 16.5 is approximately 1,552.42.

Hope this helps.

Students in Miss Moseley's fourth grade class are learning multiplication, and they demonstrate mastery by passing assessments. Travis has passed 11 tests, and his classmate, Jenifer, has passed 2 tests. Going forward, Travis plans to pass 2 tests per week. Meanwhile, Jenifer plans to pass 5 tests per week. Eventually Jenifer will catch up to Travis. When the number of tests each student has passed are equal, how many tests will each student have passed and how many weeks will it take?

Answers

Jenifer

2+5 week 1

7+5 week 2

12+5 week 3

17 week4


Travis

11+2 week 1

13+2 week 2

15+2 week 3

17 week 4

If n and t are positive integers, what is the greatest prime factor of the product nt ?

Answers

Positive turn in too a negative

Which of the following statements are mathematical statement? P: Math is not hard.
Q: Bill Gates is the founder of Microsoft.


A. P only

B. Q only

C. P and Q

D. None

Answers

Answer:

a is the right answer atleast that's what I think

Answer:

D.

Step-by-step explanation:

neither of these is a mathematical statement. P only mentions the word math and Q has nothing to do with math.