Answers
==============================================
Explanation:
The degree of separation from the two cities is 30-7 = 23 degrees.
Let's say the point C is at the center of the earth. This would mean angle BCA is 23 degrees.
Any longitude line helps form what is known as a great circle or orthodrome. This is a math term that describes a circle that is centered at the same location as the sphere's center. Imagine that you can wrap a string around the earth and this string only follows this particular longitude line. This string is effectively a vertical equator in a way. The question is: what is the length of this string?
Well that would be the circumference of the circle with radius 3960 miles because the longitudinal circle has the same radius as the sphere.
That approximates to...
C = 2*pi*r
C = 2*pi*3960
C = 24,881.4138164311
C = 24,881.41
So a bit less than 25 thousand miles. I used the calculator's stored version of pi rather than something like 3.14 to get the best accuracy possible. This is the full string's length if we want to travel the entire distance around the globe but stay entirely on this particular longitude line
We don't want the full string's length. Instead, we want just a fractional portion of it. Specifically, we want 23/360 of it because of the central angle of 23 degrees. This will give us the distance between the two cities.
So (23/360)*24,881.4138164311 = 1,589.64588271642
This then rounds to 1589.65 when rounding to the nearest hundredth.
The distance between the two cities is approximately 1589.65 miles
This is comparable to the driving distance from Los Angeles, CA to Houston, TX (approximately 1547 miles).
Related Questions
Sixteen is equal to 7 increased by the product of 3 and a number.
Answers
Answer:
number is 3
Step-by-step explanation:
let the number be n then the product of 3 and the number is 3n , so
16 = 7 + 3n ( subtract 7 from both sides )
9 = 3n ( divide both sides by 3 )
3 = n
That is the number is 3
A polynomial f (x) has the given zeros of 8, –1, and –3.
Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations. (3 points)
Part B: Divide the polynomial f (x) by (x2 – x – 2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote. (4 points)
Part C: List all locations and types of discontinuities of the function g(x). (3 points)
Answers
The answer is "[tex]\bold{x^3-4x^2-29x-24, y=x-3,\ and\ x=2}[/tex]" and following are the complete solution to the given parts:
For point A)[tex]\to \bold{f(x)=(x-8)(x+1)(x+3)=(x^2-7x-8)(x-8)=(x^3-4x^2-29x-24)}[/tex]For point B)
[tex]\to \bold{x^2-x-2=(x-2)(x+1)}\\\\\to \bold{g(x)=\frac{(x-8)(x+1)(x+3)}{(x-2)(x+1)}}[/tex]
When [tex]x \neq -1[/tex] then
[tex]\to \bold{g(x)=\frac{(x-8)(x+3)}{x-2}}\\\\\to \bold{\lim_{n \to \infty} \frac{g(x)}{x}}[/tex]
So
For point C)
It is discontinuity when a [tex]\bold{x=2}[/tex] that is a vertical asymptote.
Learn more:
brainly.com/question/24520259
Answer:
Part A:
x^3 - 4x^2 - 29x -24
(x + 1)(x - 8)(x + 3)
Part B.
(x + 1)(x - 8)(x + 3) / x^2 - x - 2= (x + 3)(x - 8) / x - 2
g(x)= (x + 3)(x - 8) / x - 2= y= x - 3
Part C.
x=2.
Step-by-step explanation:
See images for more information, it wouldn't let me post it.
Pls help need this ASAP in 10 mins
Answers
The graph of y = f(x) is graphed below. What is the end behavior of f(x) ?
Answers
Answer:
The first option, as x approaches infinity, y approaches infinity and as x approaches negative infinity, y approaches negative infinity
Step-by-step explanation:
You went to Walmart and you bought a hoverboard. The total cost was $150.00 which includes a tax of 6%. What was the original price?
Answers
Answer:
$141
Step-by-step explanation:
150x.06=9
150-9=141
not sure this is right, its off the top of my head and it's been a while since I've been in a math class that does this so i apologize in advance
How to solve -7+7s-3s-5-6-5s
Answers
How to solve -7+7s-3s-5-6-5s
Answer:-→ -7+7s-3s-5-6-5s
→ -7 -5 -6 + 7s-3s-5s
→ -18 - 1s
The answer is -18-1s
plsss helpppp will mark brainliest!!
Answers
Answer:
D. 2¹⁵/4¹⁰
Step-by-step explanation:
(2³/4²)⁵ = 1/64
A. 2⁸/4⁷ = 1/128
B. 2⁵/4⁴ = 1/16
C. 2⁶/4⁶= 1/128
D. 2¹⁵/4¹⁰= 1/64
SO (2³/4²)⁵ = 2¹⁵/4¹⁰
lilli has $3.65 comprised of quarters and dimes floating on the bottom of her bag she has five more dimes than twice her quarters how many each type of coin does she have? lol pls help
Answers
Answer:
7 quaters and 19 dimes
Step-by-step explanation:
Let say x the numbers of quaters,
2*x+5 the numbers of dimes
In cents,: 25*x+10*(2x+5)=365
25x+20x+50=365
45x=365-50
45x=315
x=7
Number of quaters: 7
Number of dimes: 2*7+5=19
Proof:
7*25+10*19=365
Let f(x) = 12 over the quantity of 4 x + 2. Find f(−1). (1 point)
Answers
Answer:
-6
Step-by-step explanation:
Hope I understand your "f(x) = 12 over the quantity of 4 x + 2" correctly
f(x) = 12 / 4x +2
Now so they want a f(-1), as u can see they substituted the x for - 1, therefor do that the same to the right side
f(-1) = 12/ 4(-1) + 2
f(-1) = 12 / - 4+2
= 12/ - 2
= - 6
Solve the equation (-20)-2+9+18
Answers
Answer:
5
Step-by-step explanation:
help with number 4!!!!!!
Answers
Answer:
he have to travel 12 cm/km
Step-by-step explanation:
lets find x by transposing
3x = 2x + 2 (as M is the midpoint)
3x - 2x = 2
x = 2
now put 2 instead of x
3x + 2x +2 = (distance from friends home to house)
3 (2) + 2 (2) +2
6 + 4 + 2
10 + 2
= 12
4 less than n is 9.?
Answers
Answer:
13. Bestie literally 9+4
Answer:When solving a question like "What number is 4 less than 9?", take a close look at what it is really asking.
You have the number 9 and you are looking for a number that is 4 less than 9. In other words, if you have 9 and take away 4, then how many do you have?
You guessed it! This is a subtraction problem. 9 is the minuend and 4 is subtrahend and the answer we are looking for is the difference.
Therefore, to solve "What number is 4 less than 9?", you subtract 4 from 9 like so:
9 - 4 = 5
Step-by-step explanation:
Brigit has 4.4 ounces of black beans for lunch. Each ounce of the black beans contains 1.3 g of fiber. How much fiber is contained in the black beans
Answers
Answer:
[tex]5.72[/tex]g of fiber is contained in the black beans.
Step-by-step explanation:
Given:
No.of. ounces[tex]=4.4[/tex]
Each ounce contains [tex]1.3[/tex]g of fiber
To calculate the fiber contained in the black beans
Total Fiber = No.of. ounces × Fiber contained in each ounce
[tex]=4.4[/tex] × [tex]1.3[/tex]
[tex]=5.72[/tex]g
Therefore, fiber contained in the black beans is [tex]5.72[/tex]g.
Learn more about multiplication, refer:
https://brainly.com/question/123530866.004x10^5 in standard notation
Answers
Answer:
600400
Step-by-step explanation:
Solve the equation 3/8p=9
Answers
Answer:
p = 24Step-by-step explanation:
[tex] \frac{3}{8} p = 9[/tex]
[tex] = > p = 9 \times \frac{8}{3} [/tex]
=> p = 3 × 8
=> p = 24 (Ans)
a=b-c
How do I write it as c=?
and the equation
Answers
Answer:
The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
Step-by-step explanation:
SOMEBODY PLEASE ANSWER THIS IVE BEEN TRYING FOR 2 DAYS NOW I NEED HELP. The value of a car is depreciating by 12% per year.
Write a rule expressing the value of the car after x years if it is currently worth $15,000.
What will the car be the worth in 10 years ? What was the car worth 5 years ago ?
Answers
The value in x years = 15000 x 0.88^x
Value in 10 years = 15000 x 0.88^10 = $4178 (to nearest dollar)
Value 5 years ago = 15000 x 0.88^-5 = $28423 (to nearest dollar)
Rewrite the equation in slope-intercept form. Then identify the slope and the y intercept of the line
4x + y = 1
Answers
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x + y = 1 ( subtract 4x from both sides )
y = - 4x + 1 ← in slope- intercept form
with slope m = - 4 and y- intercept c = 1
Emma had 10 Balls in a bag. The balls were numbers 1 through 10. She wanted to test the probability of drawing a ball that is a multiple of 3.
Also, write a prediction about if there is an unlikely, impossible, likely, even, or certain change of drawing a multiple of 3.
Answers
Answer:
30%UnlikelyStep-by-step explanation:
The balls - multiples of 3 are:
3, 6 and 9The probability of a multiple of 3 is:
3 out of 10 orP = 3/10 = 30%30% probability is in the range 0%-50% so this event is unlikely
Total multiples=3
[tex]\\ \sf\longmapsto P(3)=\dfrac{Multiples\:of\:3}{Total \:balls}[/tex]
[tex]\\ \sf\longmapsto P(3)=\dfrac{3}{10}[/tex]
[tex]\\ \sf\longmapsto P(3)=30\%[/tex]
It is <50%;So it is unlikely to happen.
Considerando um atleta de 1,83 m e o ângulo de inclinação de 20 graus formada pela ponta da vara com o chão é correto afirmar que o comprimento aproximado da vara mede?
Answers
Resposta:
A vara mede 5,35 m.
Explicação:
[tex] \sin 20^\circ = \dfrac{1,83~m}{x} [/tex]
[tex] x = \dfrac{1,83~m}{\sin 20^\circ} [/tex]
[tex] x = 5,35~m [/tex]
Evaluate:
2a + 7b for a = 5 and b = 3
Answers
Answer:
31
Step-by-step explanation:
Substitute the values for the variables.
[tex]2(5)+7(3)\\10+21\\31[/tex]
hello,
substitute in the numbers
2(5) + 7(3)
10 + 21
= 31
Help Pls!
A pile of 15 boxes is 3 metres high. What is the depth of each box?
Answers
5x -4= 4x please help me
Answers
[tex]5x-4=4x\\\\5x-4x=4\\\\\huge\boxed{x=4}[/tex]
Answer:
4=x
Step-by-step explanation:
5x-4=4x
-4=-x
4=x
Members of a baseball team raised $1781.25 to go to a tournament. They rented a bus for $1063.50 and budgeted $65.25 per player for meals. Write and solve an equation which can be used to determine x x, the number of players the team can bring to the tournament.
Answers
Answer:x=11
65.25x + 1063.50= 1781.25
To solve this equation, subtract the rental cost of the bus to get $717.75.
Now the equation should be 65.25x= 717.75
Divide both sides by 65.25, and you should get that x = 11. That’s your finally answer!
Step-by-step explanation:
Yes or no on each one
Answers
Answer:
NO
YES
NO
YES
Step-by-step explanation:
for example :
(4³)³ = 4^9
4³.4³ = 4^6
The variables x and y are related proportionally. When x = 6, y = 14. Find y when x = 15.
Answers
Answer:
=>x=k/y
=>15=k/6
=>k=90
=>9=90/y
=>9y=90
=>y=10
Step-by-step explanation:
please make me brainllist
Pleaseeeeeeeeeeeeeeeeeeee
Answers
Answer:
∠DAB = 68
Step-by-step explanation:
∠DAB we need to find this
∠DAB = ∠C (vertically opposite angles are equal)
∠DAB = 68
Decide!!!!!!!!!!!!!!
Answers
Answer:
547Step-by-step explanation:
The minute hand hits the 0 minute once each hour. This results each hour to become 61 minutes.
Number of hours from Monday 00:01 to Friday 07:30 is 4*24 + 7.5 = 103.5
Extra time considering defective clock (full hours):
103 minutes = 1 hr and 43 minAlarm to be set at:
07:30 - 1:43 = 6:00 - 0:13 = 05:47The answer is:
5*100 + 47 = 547i need help plzzzzzzzz
Answers
Answer:
Step-by-step explanation:
The expanded form of 79 is 70+ 9. To apply the distributive property you rewrite the problem 3(70 + 9) which is the same as (3x70) + (3x9). Next do the multiplication 3x70= 210 + 3x9= 27
Next add the sums: 210 + 27 = 237.
I know the answer, I'm just confused on what to put for explore, plan, solve, and examine!
Joseph earned $53 the first week he worked at Jim’s Candy Store and $62 the next week. How much did Joseph earn his first two weeks?
Explore:
Plan:
Solve:
Examine:
Answers
Answer:
Explore - ??? (What are you suppose to put for that (Add comment))
Plan - First week - 53 Second week - 62
Solve - 53 + 62 = 115
Examine - (Use a graph to see the rise?)
Step-by-step explanation:
