City A is due north of City B. Find the distance between City A ( north latitude) and City B ( north latitude). Assume that the radius of Earth is 3960 miles.
The distance between City A and City B is ___miles.
Can someone help?! Show me step by step how this is done that I can understand it better.
Answers
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Explanation:
The notation [tex]47^{\circ}4'[/tex] means "47 degrees, 4 minutes". The "minutes" isn't referring to a time value, but instead they are arc minutes. If we divide one degree into 60 equal pieces, then we form 60 arc minute slices. So in a sense, we are using a round analogue clock to help connect the two ideas.
We can convert to purely degrees through using this formula here
[tex]a^{\circ}b' = a + \frac{b}{60}[/tex]
So,
[tex]47^{\circ}4' = 47 + \frac{4}{60} \approx 47.06667^{\circ}[/tex]
and similarly,
[tex]22^{\circ}46' = 22+ \frac{46}{60} \approx 22.76667^{\circ}[/tex]
Now subtract the two results we got
47.06667-22.76667 = 24.3
The angular distance between the two cities is 24.3 degrees. By "angular distance" I basically mean how far you need to rotate your viewing angle when looking from city A to city B. Imagine that you're able to be situated at the center of the earth.
The circumference of the earth is
C = 2*pi*r
C = 2*pi*3960
C = 24,881.4138164311
which is approximate and the units are in miles. We multiply by the fraction 24.3/360 to find the arc distance along the curve that corresponds to the angle 24.3 degrees. This is because we don't want the whole circumference, but just a small fraction of it.
So (24.3/360)*24,881.4138164311 = 1,679.4954326091
This rounds to 1679
The distance between the two cities is about 1679 miles.
9514 1404 393
Answer:
1679 miles
Step-by-step explanation:
One minute is 1/60 of a degree, so the difference in latitudes is ...
47 4/60 -22 46/60 = 24 18/60 = 24.3 . . . degrees
The arc length is given by ...
s = rθ . . . . . . r = radius, θ = angle in radians
180° is π radians, so the surface distance between the two cities is ...
s = (3960 mi)(24.3×π/180) = 534.6π mi ≈ 1679.495 mi
The distance between City A and City B is about 1679 miles.
_____
Additional comment
As a good approximation, the distance is about 60 nautical miles per degree of latitude. Using that approximation, and converting from nautical miles to statute miles would give a distance of 1678 miles.
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Answer:
y = -1/3x + 7
Step-by-step explanation:
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Use point-slope form and substitute the values:
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9514 1404 393
Answer:
Tim is correct. 5/8 > 1/2
Step-by-step explanation:
By taking 5/8 of the lasagna, Tim will be taking more than half (4/8) of it. No remaining share can be larger. Any remaining share will be 3/8 or less, so will be smaller than a 5/8 share.
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= 34 degrees
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Hope this answer helps you :)
Have a great day
Mark brainliest
What is the value of log
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1/100
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I hope this is gelpful for u
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NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Let u= (5,-12) and c= -3.What is ||cu||?
A: 21
B: 51
C: 39
D: -39
Answers
Answer:
CU=-3(5,-12)
CU=36-15
CU=21
The answer is A=21
Answer:
[tex]=21[/tex]
Correct option is A
Step-by-step explanation:
[tex]-3\left(5-12\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(5-12\right)\::\quad -7\\5-12=-7\\=-3\left(-7\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-3\left(-7\right)\::\quad 21\\-3\left(-7\right)\\\mathrm{Apply\:rule\:}-a\cdot \left(-b\right)\:=\:a\cdot \:b\\-3\left(-7\right)=3\cdot \:7=21\\=21[/tex]
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Answer:
Low income group :
Mean = 22.100
Median = 22.000
Standard deviation = 4.717
High Income group :
Mean = 19.771
Median = 20.000
Standard deviation = 3.255
Step-by-step explanation:
Low income : 19,20,13,28,21,27,16,21,19, 19,34,24, 24,14,24,25,23,22,20,21,14,23,17,26,24,24,20,24,27,16,22,17,29,20,25,22,20,34,24,22
High Income : 23 19 19 18 20 18 17 25 13 24 25 17 21 19 17 22 22 15 19 23 19 23 22 20 20 20 13 21 16 13 21 24 23 21 20
Using Excel :
Mean of low income, Σx / n = 884/40 = 22.100
Median of low income group : 1/2(n+1)th term = Median of low income = 22.000
Standard deviation of low income group :
√(Σ(x - mean)²/n) = 4.717
High Income group :
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Answers
Answer:
Radius ≈ 7 yd
Step-by-step explanation:
Height = 10
Volume = 1540
Missing radius
Use the formula and work backwards
Formula : πr²h
Plug in the given info:
1540 = 3.14 * r² * 10
Work backwards:
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154 = 3.14 * r²
154/3.14 = r²
49.044 = r²
√49.044 ≈ 7
Radius = 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
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Step-by-step explanation:
ABC = DBE
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A. True
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Answer:
False
Step-by-step explanation:
This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.
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Answers
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Answer:
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Answer:
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Step-by-step explanation:
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the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)
Step-by-step explanation:
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The correct option is (A).
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We can write it as :
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Answers
Answer:
Step-by-step explanation:
Given: The radius is 6 cm
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I will use "pi" for pi instead of 3.14
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Answers
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Answers
Answer:
[tex](b\circ a)(x)=3x-3[/tex] ; the domain is all real numbers
Step-by-step explanation:
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Therefore, the domain of the composite function is all real numbers.
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(−5,−1) and (−3,−8)
Answers
Answer:
[tex]d=\sqrt{53}[/tex]
Step-by-step explanation:
We need to find the distance between two points i.e. (−5,−1) and (−3,−8).
It can be calculated using distance formula as follows :
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
We have, x₁ = -5, x₂ = -3, y₁ = -1 and y₂ = -8
Put all the values,
[tex]d=\sqrt{(-8-(-1))^2+(-3-(-5))^2}\\\\d=\sqrt{49+4}\\\\d=\sqrt{53}[/tex]
So, the distance between the points is equal to [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form(-3,5) and (-5,-2)
please help I'm not good with word problems
Answers
Answer:
7 5/8
Step-by-step explanation:
5+2= 7 3/8+2/8=5/8 7+5/8=7 5/8
7 ⅝ miles is the answer
How many solutions are there for the system of equations shown on the graph?
A coordinate plane is shown with two lines graphed. One line crosses the y axis at 3 and has a slope of negative 1. The other line crosses the y axis at 3 and has a slope of two thirds.
No solution
One solution
Two solutions
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According to the national association of home builders the mean price of an existing single family home in 2018 was $395,000. A real estate broker believes that existing home prices in her neighborhood are lower.
Answers
Answer:
[tex]H_o:\mu = 395000[/tex]
[tex]H_a:\mu < 395000[/tex]
Step-by-step explanation:
Given
[tex]\mu = 395000[/tex] -- mean price
Required
Determine the null and alternate hypotheses
From the question, we understand that the mean price is:
[tex]\mu = 395000[/tex]
This represents the null hypothesis
[tex]H_o:\mu = 395000[/tex]
The belief that the home prices are lower represents the alternate hypothesis
Lower means less than
So, the alternate hypothesis is:
[tex]H_a:\mu < 395000[/tex]
How many real equations does 8-4x=o have ?
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Step-by-step explanation:
Kevin was asked to determine the length of side XZ. His work is shown.
Which error did Kevin make?
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A.// He has the side lengths in the wrong place in the cosine ratio.
Step-by-step explanation:
Factor the expression. x2 + 7x+ 10
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Answer:
Make me a Brainlist plsStep-by-step explanation:
x²+7x+10=0
ur answer is there in image
Describe the shape that would result from a horizontal slice of the figure below.
PLEASE ANSWER FAST ILL MARK BRAINLEIST.!!!
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Answer:
A triangular prism and a trapezoidal prism, if I understand the question
Step-by-step explanation:
There wound be a trapezoid and a triangle if you cut it horizontally. If you mean vertically, it would be a right triangular prism
Create a data set such that the median is 19 the mode is 24 the mean is 25
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Answer:
-80, 4, 5, 6, 19, 24, 24, 24, 24
