The radius of the earth is supposed to be 6300 km and the distance of the moon from the earth being 60 times the radius of the earth, find approximately the radius of the moon which subtends at the earth an angle of 21'.
solve this problem step by step .....​

Answers

Answer 1

9514 1404 393

Answer:

  1155 km

Step-by-step explanation:

The arc length of the moon's diameter is ...

  s = rθ . . . . . where r is the distance to the moon, θ is the subtended arc in radians, and s is the moon's diameter.

There are 180° in π radians, and there are 60' in 1°. That means there are π/10800 radians in each minute of arc.

  s = (60·6300 km)(21/10800π) = 2309 km

The radius of the moon is estimated to be half this diameter, or ...

  moon radius ≈ 1155 km

_____

Additional comment

We have calculated the radius of the moon based on the numbers given in this problem. The angle subtended by the moon is actually about 31', not 21'.


Related Questions

What is 4 times 3/4 multiples by 3/4

Answers

Answer:

9/4

hope it helps.................

1. When do we use the method of Difference of two squares?
*
(Factoring polynomials)

Answers

Answer:

a

Step-by-step explanation:

Find the value if f(x) = -3x -8 and g(x) = x2 + 3. f(-3) =​

Answers

Step-by-step explanation:

f(x) = -3x - 8

f(-3) = -3(-3) - 8

f(-3) = 9 - 8

f(-3) = 1

QUESTION: What fraction of 1/2 is 1/3?
PLEASE READ: First to answer gets brainly— MUST include how they got the answer, ill skim through it to double check if its right

Answers

Answer:

1/6

Step-by-step explanation:

questions which include 'of 'usually means "×" (multiplication sign) so when u multiply them it gives 1/6

can someone help me pls?

Answers

Answer:

66.4

Step-by-step explanation:

Apply trignometric ratio

[tex] \cos( \gamma ) = \frac{adj \: side}{hypotenuse} \\ \cos( \gamma ) = \frac{6}{15} \\ \gamma = \cos ^{ - 1} ( \frac{6}{15} ) \\ \gamma = 66.4[/tex]

help!! !,
is it right or not ​

Answers

Answer:

No

Step-by-step explanation:

The answer is to find the sum of each number, because factors are pulling out from total numbers, but when multiplying you don't need to pull out anything so it would be number

Yep!!! Your correct

find the slope of the line

Answers

Answer:

3 i belive  100 pecent tho

Step-by-step explanation:

pls helppppppp ill give brainliest ​

Answers

Answer:

2n-3

Step-by-step explanation:

three less so -3

Julie runs three less than 2 times what Hannah ran

Hannah ran n miles

so Julie ran three less than 2n

The blank of a line segment is the point that divides a line segment into two congruent line segments

Answers

Answer:

da i dont even know thias

Step-by-step explanation:

Please help xxxxxxxx

Answers

Answer:

a. [tex]\bold{45000\times \:10^7}[/tex]b. [tex]\bold{3500}[/tex]

Step-by-step explanation:

a. [tex]\left(5\times \:10^3\right)\left(9\times \:10^7\right)[/tex]

[tex]5\times 10^3 = 5000\\\\5000\times \:9\times \:10^7[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5000\times \:9=45000[/tex]

[tex]=45000\times \:10^7[/tex]

b. [tex]\left(7\times 10^5\right)\div \left(2\times 10^2\right)[/tex]

[tex]\left(7\times 10^5\right)\div \left(2\times 10^2\right)=\frac{7\times \:10^5}{2\times \:10^2}[/tex]

[tex]\frac{10^5}{10^2} = 10^3[/tex]

[tex]\frac{7\times \:10^3}{2}[/tex]

[tex]\mathrm{Factor}\:\: 10^3 : 2^3\times5^3[/tex]

[tex]\frac{7\times \:2^3\times \:5^3}{2}[/tex]

[tex]\frac{2^3}{2}=2^2[/tex]

[tex]7\times \:2^2\times \:5^3=3500[/tex]

The diameter of the rear tire of a bike is 34 inches. In low gear, you need to rotate the pedals 3 times to make the rear tire rotate 360° all the way around. How far will you travel in low gear each time you rotate the pedals? (Hint: find the circumference of the tire, then divide it by the number of rotations needed of the pedals.) Round the answer to the nearest hundredth. *
PLEASE DO NOT PUT INAPPROPIATE CONTENT!!!

Answers

34pi/3 ……………………………………..

If you can walk 1/4 mile in 1/2 hour, how far could you walk in one hour?

Answers

Answer:

1/2 + 1/2 = 1

1/4 + 1/4 = 1/2

So you would walk 1/2 mile in 1 hour

Answer:

1/2

Step-by-step explanation:

1/4*2  multiply 1/4 by 2 because its you walk 1/4 in half a hour so times that by 2 for a full hour.


The graphs of two rational functions of f and g are shown. One of them is given by the expression 2-3x/x. Which graph is it? Thanks will mark brainliest

Answers

Answer:

It's the left graph, y = f(x)

Step-by-step explanation:

If you find the x-intercepts, you'd solve (2-3x)/x = 0. This means you'd really solve 2-3x=0, which gives you x=3/2.

So the graph must have an x-intercept at (1.5, 0). Only f(x) has that.

[tex]y=\frac{2-3x}{x}[/tex]

Vertical asymptote[tex]\Rightarrow x=0[/tex]

[tex]2-3x=0\\\Rightarrow 3x=2\\\Rightarrow x=\frac{2}{3}[/tex]

Zeroes [tex]x=\frac{2}{3}[/tex]

[tex]\Rightarrow[/tex]graph cuts [tex]x-axis[/tex] at [tex]x=\frac{2}{3}[/tex]

Horizontal asymptote[tex]=\frac{coefficient \ of \ higest \ degree \ term \ in \ numerator}{coefficient \ of \ higest \ degree \ term \ in \ denominator}[/tex]

[tex]y=\frac{-3}{1}[/tex]

 [tex]=-3[/tex]

Horizontal asymptote[tex]y=-3[/tex]

[tex]\therefore[/tex] Given graph is [tex]y=f(x)[/tex]

50 POINTS PLS HELP ME I'LL MARK BRAINLIEST

Find a polynomial of degree n that has only the given zeros. (There are many correct answers.)


x = −3, 8; n = 3



Thank you so much!!

Answers

Answer:

Step-by-step explanation:

Here we need to find a 3rd degree polynomial that has only two distinct zeros:  {-3, 8}.  

Focusing on the zero x = 8 and assuming that this 8 has a multiplicity of 2, we come up with the following polynomial in which the factor x - 8 shows up twice:

f(x) = a(x - 8)(x - 8)(x + 3), or f(x) = a(x - 8)^2(x + 3)

One such polynomial is thus

f(x) = a(x - 8)^2(x + 3), where 'a' is a constant coefficient.  This polynomial has a double zero at x = 8 and a third zero at x = -3.

Step-by-step explanation:

The polynomial has degree 3 and two zeros: - 3 and 8.

Since it has degree 3 it should have 3 zero's.

Two possible scenarios

1. -3 has multiplicity of two:

a(x + 3)²(x - 8) - is the factored form of the polynomial where a is the constant

2. 8 has multiplicity of two:

a(x + 3)(x - 8)² - is the factored form of the polynomial

Write two Pythagorean triplets each having one of the numbers as 5.

Answers

Answer:

3, 4, 5 and 5, 12, 13

Step-by-step explanation:

The square of the largest side is equal to the sum of the squares of the other 2 sides.

5² = 3² + 4²

13² = 5² + 12²

The 2 triplets are (3, 4, 5 ) and (5, 12, 13)

solve pls brainliest

Answers

Answer:

first put 2 in the numerator for the first blank and 2/9 in the second blank

Step-by-step explanation:

1/3 equals 3/9 and 3/9-1/9=2/9

Answer:

[tex]\frac{3}{9}[/tex]

Step-by-step explanation:

Write in slope-intercept form an equation of the line that passes through the given points. (0,−1),(−8,−2)

Answers

y=8x+14

0-(-8)/-1-(-2)= 8/1 =8
8=m

-2=2(-8)+b
-2=-16+b
+16 +16
14=b

Help me pls i give brain

Answers

Answer:

4 3/4

Step-by-step explanation:

8 1/2=8 2/4

8 2/4-3 3/4= 4 3/4

find the value of 4x-6y when x=3 and y= -2

Answers

Answer:

here the answer is 24

Step-by-step explanation:

answerrrrrerrr issss hereeeeeee

Answer:

0

Step-by-step explanation:

4 multiply by x(3) = 12

6 multiply by y(2) = 12

12 -12 =0

Teresa is maintaining a camp fire. She can keep the fire burning for 4 hours with 6 logs. She wants to know how
many logs (g) she needs to keep the fire burning for 18 hours. She assumes all logs are the same.
How many logs does Teresa need to maintain the fire for 18 hours?

Answers

Answer:

27

Step-by-step explanation:

6/4 = 1.5

1.5 * 18 = 27

1. Which of the following equations is equivalent to y = ? 048 = 7x - 21 28 = 12x - 36 O 4x - 3 = 84 O4x - 12 = 84​

Answers

Answer:

4x - 12 = 84

Step-by-step explanation:

The last answer choice is correct because when you cross-multiply:

[tex]4(x-3) = 12(7)[/tex] [tex]4x - 12 = 84[/tex]

you get 4x - 12 = 84.

Therefore, the last option is correct.

Answer:

D would be the answer (4x-12=84)

Step-by-step explanation:

4/7=12/x-3

=>1/7=3/x-3

=>x-3=21

Multiplying both sides by 4

4(x-3)=4x21

=>4x-12=84

Hope this helped :)

please please help!!

Answers

Answer:

it's is the second one bc I did that be fired

Find the value of x.

Answers

Answer:

i think the answer should be 8

Step-by-step explanation:

Please helppppppppppppp

Answers

Answer:

101

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

Suplemetary angles

180-79=101

write a peacewise function for the graph
please help me

Answers

Answer:

[tex]\left \{ {{y=x; \ \ x\le 0} \atop {y=4+ \frac12x;\ \ x>0}} \right.[/tex]

Step-by-step explanation:

If you look at the graph you see that:

before 0, the graph has same y as it has x, or y=x.

after 0, the graph starts at 4, and increases by 1 every 2 steps horizontally, or has a slope of 1/2.

Finally, the 0 has to be included in the blue part of the graph based on where the solid dot is.

State the slope and y-intercept for the line
y = 4x – 2?

Answers

Answer:

Slope: 4                       y-intercept: y=-2

Step-by-step explanation:

The equation is in slope-intercept form:

y=mx+b where m is the slope and b is the y-intercept.

Solve for w:
4/5w=8

Answers

Answer:

4/5w=8

cross multiply

8×52/w=4

40w=4

w=4/40

w=0.1

4/5w=8
W= 10
Sorry if wrong !

Which best describes the error in finding the area of the parallelogram?


15 meters was used for the height instead of 13 meters.
15 meters was used for the height instead of 13 meters.

8 meters was used for the height instead of 13 meters.
8 meters was used for the height instead of 13 meters.

The product of 8 and 15 is not 120.
The product of 8 and 15 is not 120.

The formula to use should have been A=12bh instead of A=bh.
The formula to use should have been, cap A is equal to 1 half b h instead of cap A is equal to b h.

Question 2
Correct the error.

A=

=
m2

Answers

Answer:

104

Step-by-step explanation:

If we convert 0.14 x10^3 to scientific notation, which direction should the

decimal move and how spaces should it move?

Answers

Answer:

Move it to the right by 3 spaces.

Step-by-step explanation:

10^3 is 1000

On a number line the negative numbers are on the left and the positive numbers are on the right. So since the exponent is a positive 3 we move it to the right by 3 spaces to get 140

Solve for x x^2 + 6x + 1 = 0

Answers

Answer:

x = -.1715 ≈ - .172    or x = -5.83

Step-by-step explanation:

x² + 6x + 1 = 0

x² + 6x = -1

Complete the square   Add to both sides (1/2 of the x-term, then square it.)

x² + 6x + 9  = -1 + 9

(x + 3)(x + 3) = 8

(x + 3)² = 8

[tex]\sqrt{(x + 3)^{2}[/tex]  = [tex]\sqrt{8}[/tex]

 x + 3 = ±  [tex]\sqrt{8}[/tex]

  x = -3 ± [tex]\sqrt{8}[/tex]

   x = -3 + [tex]\sqrt{8}[/tex]   or x = -3 - [tex]\sqrt{8}[/tex]

   x = -.1715 ≈ - .172    or x = -5.83

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