Two cities are approximately 350 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a. 0.0775 radians b. 0.1025 radians c. 0.0875 radians d. 0.0825 radians e. 0.1075 radians ____ 6. Name the reference angle in both degrees and radians.

Answers

Answer 1

Answer:

[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]

Step-by-step explanation:

Given that:

The distance between city A and city B = 350 miles; &

The radius of the earth = 4000 miles

We all know that:

l = rθ

[tex]\theta = \dfrac{l}{r}[/tex]

[tex]\theta = \dfrac{350}{4000}[/tex]

[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]

From l = rθ; recall that l = a

so;

a = rθ

350 = 4000×θ

θ = 350/4000

θ = 35/400 degree

In radians;

θ = (35/400) × (π/180)

θ = (7π /800× 180) radians


Related Questions

What is the area of the trapezoid?

Answers

78. you can find the area of the two ends which are triangles by subtracting 11 from 15. Then divide that four by two since both ends are included. Multiply 2 by 6 to get half the area of one triangle. But since there are two just leave that number as is. Finally multiply 11 by 6 to get the rest of the area.

Answer:

A=78ft

Step-by-step explanation:

The area of a trapezoid is A=(a+b)/2 *h

a=long base

b=short base

h=height

For your trapezoid, it will look like this:

a=15ft

b=11ft

h=6ft

Let's add those into the equation:

A=(15+11)/2 *6

Okay, let's solve it! Using PEMDAS, we know parenthesis are first.

A=26/2 *6

Now we divide!

A=13*6

Multiply! And don't forget to add your unit.

A=78ft

Alana has 1/4 pound of shredded cheese. She uses an equal amount of cheese in each of 4 pizzas. What fraction of a pound of cheese did Alana use on each pizza?

Answers

Answer:

1/16

Step-by-step explanation:

To find the answer, you would have to divided 1/4 by 4, which is 1/16.

Hope this helps! :)

Find the value of x in the triangle shown below

Answers

Answer:

Step-by-step explanation:

x=[tex]\sqrt{12^{2} +16^{2} }[/tex]

x=20

Y-4=7(x-6) need help

Answers

Answer:

y = 7x - 39

Step-by-step explanation:

y-4= 7(x-6)

y = 7(x-6) + 4

= 7x - 42 + 4

= 7x - 38

y = 7x - 39

change 4 and 4 on 9 to an improper fraction ​

Answers

Answer: 40/9

Step-by-step explanation:

First multiply the number 4 and the denominator 9 together which is 36 in this case. Then add the remaining 4 which takes you to 40 then the denominator will stay the same so the answer will be 40/9

4 4/9 you multiply the denominator, 9, by the whole number, 4. (36) Then you add the numerator, 4 to get 40. That’s how many 9ths you have. 40/9.

Because each one of the whole number = 9/9ths

So when we multiply as above, you are adding 9/9 + 9/9 + 9/9 + 9/9 + 4/9. Add the numerators, but the denominator stays the same.

Complete the tables of values?

Plz help I’m so stuck on this

Answers

Answer:

d=1

e=4/9

f=16/81

Step-by-step explanation:

Substitute x in the right column with the values in the left column to find d, e, and f.

Answer:

d = 1

e = 4/9

f = 16/81

Step-by-step explanation:

d is 1 because any term raised to the power of zero equals one

e: (2/3)² = 2²/3² = 4/9

f: (2/3)^4 = 2^4/3^4 = 16/81

Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true
concerning these two values.
O a
The value of g(2) is larger than the value of g(-4).

Ос
The value of g(2) is smaller than the value of g(-4).
The value of g(2) is the same as the value of g(-4).
The values of g(2) and g(-4) cannot be compared.
Od

Answers

Answer:

The value of g(2) is larger than the value of g(-4)

Step-by-step explanation:

2 is a larger number than -4, so automatically, the value of g(2) would be larger.

5) Solve this system by graphing.
-2x - 4y = -8
y = x-10

Answers

The solution is (8,-2)
Plot the equations on a graph, at the point of intersection is the solution for both equations.

Find the given probabilities. If the probabilities or given in decimal then your answer should be in decimals. If the probabilities are a fraction then your answer should be in fraction.

a. If \large P\left(A\right)=\frac{1}{6} and \large P\left(B\right)=\frac{4}{9}, and events A and B are disjoint events, so \large P\left(A or B\right)=

b. If P(A)= .67 and P(B)= .13 and events A and B are disjoint events, so P(A or B)=

Answers

Answer:

B

Step-by-step explanation:

X^2- 2x - 54 = 0



I need the answer for this please

Answers

x = -6, 8

Find the values of x by factoring, getting

(x - 8)(x + 6) = 0

Answer:

x = -6, 8

Step-by-step explanation:

What is the parallel line and slope of a perpendicular like for 3x+5y=4

Answers

Answer:

a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5

Step-by-step explanation:

3x + 5y = 4

5y = -3x + 4

y = -3/5x + 4/5

2. Students going on a class trip each put 3 suitcases on the tour bus.
The bus driver put 2 suitcases on the bus. There were 68 suitcases
on the bus. How many students, s, were on the bus?

Answers

22 because if you take the total number 68 subtract it by 2 for the bus driver then you get 66 divide it by 3 and you get your answer 22
The answer here would be 22 hope this helps

If 30 is the total number of starbursts in a bag, how many starbursts are 70% of the bag?

Answers

ten percent is 3 starburst because to find ten percent you divide the total number by ten. now to find 70 percent you times ten percent by seven. 3 x7 = 21 :)

A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet of gutter were required?

Answers

162.50-35.00=127.50
127.50/12=10.63
10.63 feet of guttering were required

what is 250,000 divided by 12

Answers

Answer:

20833.3

Step-by-step explanation:

Answer:

tthe answer is. 20833.3

help!!! Pleasee thank youuuu

Answers

Answer:

a

Step-by-step explanation:

it is the reflection or mirror image

Find an equivalent fraction to 5/6 only.

Answers:
A) 2/4
B) 10/12
C) 11/6
D) 20/24
E) 50/60

Answers

B), D), and E) are all equivalent fractions to 5/6.
2/4 isn’t because simplified it equals 1/2
11/6 isn’t because it cannot be simplified further
10/2 = 5 and 12/2 = 6, which is why B) is one of the answers
20/4 = 5 and 24/4 = 6, which is why D) is another answer
50/10 = 5 and 60/10 = 6, which is why E) is the third answer

Answer:

B D and E

Step-by-step explanation:

Remark

It's hard to know how to tackle this. I suppose  the easiest way is to divide the numerator and denominator by a common factor.

2/4

The common factor is 2

Divide the 2 by 2 and the 4 by 2

2/2 = 1

4/2 = 2

The fraction reduces down the 1/2 which is not 5/6

10 / 12

The common factor is 2.

10/2 = 5

12/2 = 6

Looks like this is your answer. But is it the only one.

11/6

These two have no common factor. The answer is 11/6 which is not 5/6

20 / 24

The common factor of these two is 4

20/4 = 5

24/ 4 = 6

This is also = to 5/6

50 / 60

The common factor is 10

50/10 = 5

60/10 = 6

That's equal to 5/6 as well.

On Saturday, Mark sold 2 7/8 gallons of lemonade.

On the same day, Regan sold 2/3 as much lemonade as Mark.

How much lemonade, in gallons, did Regan sell?

Answers

Answer:

Regan sold [tex]\mathbf{\frac{23}{12}}[/tex] gallons of lemonade

Step-by-step explanation:

Operations with Fractions

Mark sold [tex]2\frac{7}{8}[/tex] gallons of lemonade.

Regan sold [tex]\frac{2}{3}[/tex] as much lemonade as Mark

We can find the portion of lemonade Regan sold by multiplying both fractions. But first, we must convert to improper fraction:

[tex]2\frac{7}{8}=2+\frac{7}{8}=\frac{23}{8}[/tex]

Now we multiply:

[tex]\frac{23}{8}\cdot \frac{2}{3}=\frac{46}{24}=\frac{23}{12}[/tex]

Regan sold [tex]\mathbf{\frac{23}{12}}[/tex] gallons of lemonade

PLEASE HELP 20 POINTS PLUS BRANLIEST

For each graph below, state whether it represents a function.

Answers

Step-by-step explanation:

1. Not a function There is no correlation plus there is two y values for the same x.

2.Not a function, There is two y values for the same x

3.Yes, you can draw a linear line through the points to represent the equation, also there is one x for one y.

4.Yes, this is a step function. It seems there are two y values for same x. but the shaded circle means to include it and the open circle means dont include it so it is a function.

5.No, this is a parabola but this function has two y values for the same x

6. Yes, this is a absolute value function and there is multiple x values for the same y so it IS a function

Graph 3,6,4 represents a function because the x’s do not repeat and it passes the vertical line test. Which means 1,2,5 is not a function because the x's do repeat and it does not pass the vertical line test

Hope this helps

Have a great day/night

Feel free to ask any questions

pls help
Which graph represents a linear function?

Answers

Answer: The second one

Step-by-step explanation:

Lineair is always a straight line, think of it as a “line in the air”

Answer:

the second one

Step-by-step explanation:

its a straight line

CAP has vertices
C(-3,8),
A(3,-9),
and
P-1,-10).

What are the coordinates of the image of
A after the given composition of tranformations?

Dilation: center (0, 0); scale factor 5,
Translation: (x, y) (x-9,y +11).

Answers

Answer:

[tex]A'' = (6, -34)[/tex]

Step-by-step explanation:

Given (Points)

[tex]C = (-3,8)[/tex]

[tex]A = (3,-9)[/tex]

[tex]P = (-1,-10)[/tex]

Transformations:

Dilation: Center (0,0); Scale factor = 5

Translation: (x, y) --> (x-9,y +11).

Required

Determine the image of A

[tex]A = (3,-9)[/tex]

Apply the first transformation:

i.e. dilation by a scale factor of 5

[tex]A'=A * 5[/tex]

[tex]A'=(3,-9) * 5[/tex]

[tex]A'=(3* 5,-9* 5)[/tex]

[tex]A'=(15,-45)[/tex]

Apply the second transformation:

i.e. translation: (x, y) --> (x-9,y +11).

[tex]A'=(15,-45)[/tex]

[tex]A'' = (15 - 9, -45 + 11)[/tex]

[tex]A'' = (6, -34)[/tex]

Hence, the image of A is (6,-34)

Evaluate the expression when x=4, y=-6, and z= -3.

3x – 2y
----------------
Z​

Answers

Answer:

3x-2y=3(4)-2(-6)

12+12=24

Now, we divide the result of 3x-2y by z

Therefore, we have 24 divide - 3

-8

Therefore, the answer is - 8

which of the following graphs describes the solution set of -4/5x-13/5>=-9?

Answers

Answer:

Hey Bud

your answer is x ≤ 8

Step-by-step explanation:

should be closed dot pointing to the negative numbers

Let's solve your inequality step-by-step

Step 1: Simplify both sides of the inequality.

Step 2: Add 13/5 to both sides.

Step 3: Multiply both sides by 5/(-4).

What is the equation of the line passing through the point ( 0,0), ( 2, 1), and ( -2, -1)

Answers

Answer:

so basic 0,0 is not proper so that would mean ( -2)Step-by-step explanation: its the awnser


Carter is famous for his taco soup. His soup requires 2 cans of black beans for every 2 3/4 jars of salsa
His sister calls him and says she wants to make his taco soup. She says, "I put in 11 jars of salsa. How many cans of black
beans do I need to put in the soup to make it taste just like yours?"
How many cans of black beans does Carter's sister need to use?
A. 5 1/2 cans
B. 4 cans
C. 8 cans
D. 1 3/8 cans

Answers

Answer: The answer is 8 cans. Hope I helped :)

Step-by-step explanation:

A rectangle with an area of 47m² is dilated by a factor of 7. What is the area of the dilated rectangle? Enter your answer in the box. Do not leave your answer as a fraction.
?m²

Answers

Answer:

28m^2

Step-by-step explanation:

Answer:

28 square meters is correct for all future users.

Step-by-step explanation:

Equivalent fraction of 4/5

Answers

Answer:

12/15

Step-by-step explanation:

4*3=12

5*3=15

Answer: 8/10

Step-by-step explanation:

Which part of a flower grows into the fruit?

the stigma
the anther
the ovule
the ovary

Answers

Answer:

ovary

Step-by-step explanation:

Adrienne has chickens and ducks on her farm. She has 48 chickens and 28 ducks. What ratio describes the number of ducks to the number of chickens? ​

Answers

12 chickens to 7 ducks 12:7

Find the value of X. Round to the nearest tenth

Answers

9514 1404 393

Answer:

  88.2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relation ...

  Tan = Opposite/Adjacent

  tan(10°) = x/500

  x = 500·tan(10°)

  x  ≈ 88.2 . . . . units

_____

If you move the "500" dimension to the top of the figure, you see it is adjacent to the given angle, and the value x is opposite.

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