Answer:
Distance = abs(-1700)
Distance = 1700 miles
Step-by-step explanation:
NYC is located East of Los Angels.
The Airplane flies from Los Angeles to the left direction from NYC.
Which is negative direction.
Therefore, distance = -1700
Here the distance cannot be negative even though if it flies in negative direction.
Therefore, we use the absolute value.
The absolute value of a number is always positive.
So, distace = abs( -1700)
Distance = 1700 miles.
Hope this will help you understand the concept.
Thank you.
$495.28 I think I'm not sure if I'm right.
The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.
The sequence is an arithmetic sequence. Therefore,
d = common difference
let
a = centre term
Therefore, the 3 consecutive term will be as follows
a - d, a, a + d
a - d + a + a + d = 27
3a = 27
a = 27 / 3
a = 9
Therefore,
(a-d)² + (a)² + (a + d)² = 293
(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293
(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293
243 + 2d² = 293
2d² = 50
d² = 50 / 2
d = √25
d = 5
common difference = 5
Therefore, the 3 numbers are as follows
9 - 5 , 9, 9 + 5 = 4, 9, 14
The difference between the greatest and the least of these 3 numbers are as follows:
14 - 4 = 10
learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults
Answer:
x = -4037/127
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
14x + 18 + x = -112(x + 36) + 13
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -112: 14x + 18 + x = -112x - 4032 + 13
- Combine like terms: 15x + 18 = -112x - 4019
- Add 112x on both sides; 127x + 18 = -4019
- Isolate <em>x</em> term: 127x = -4037
- Isolate <em>x</em>: x = -4037/127
Answer:
[rad] 2.41
Step-by-step explanation:
Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):
cot^-1(-√5/2)
And we should get 2.41 as our answer!
