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rjkz [21]
4 years ago
14

scientist measures the angle x and the distance y between the Sun and moon. Explain how the scientist can use only two measureme

nts to calculate the distance between the earth and moon
Mathematics
1 answer:
Whitepunk [10]4 years ago
4 0
Observe Moon;s center on a Full Moon night from two places 100 km apart for parallax
θ
.. Then
α
= 100/6378 radian = 0.0156789 radian = 0.8983346 deg. The distance of the Moon then will be approximately 6378 sin(0.449167)/sin (
θ
/2). The other way about , if the distance is known to be 384000 km, theta is nearly 0.1492 deg = 54", nearly.. .
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Pls I need help with his math problem
Leno4ka [110]

Answer:

  a) P = 0.08s +200

  b) $488

  c) $6250

Step-by-step explanation:

<h3>a)</h3>

Your answer is correct. The commission rate is multiplied by the sales amount, and that product is added to the guaranteed pay to get the paycheck amount:

  P = 0.08s +200

__

<h3>b)</h3>

Fill in 3600 for s and do the arithmetic.

  P = 0.08×3600 +200 = 288 +200 = 488

The paycheck amount will be $488.

__

<h3>c)</h3>

Use the equation for part (a) and solve for P = 700.

  700 = 0.08s +200

  500 = 0.08s . . . . . . subtract 200

  500/0.08 = s = 6250 . . . dollars; divide by the coefficient of s to get this

Sales would have to be $6250.

8 0
3 years ago
D+(-9)=-5<br> i need to solve for d. thank u
goldfiish [28.3K]

Answer:

4

Step-by-step explanation:

d - 9 = -5

Add 9 to -5, and you will get 4.

4 - 9 = -5

8 0
3 years ago
Read 2 more answers
Answer the question in the picture
nekit [7.7K]

Recall the angle sum identities:

\sin(x+y)=\sin x\cos y+\cos x\sin y

\cos(x+y)=\cos x\cos y-\sin x\sin y

Now,

\tan(x+y)=\dfrac{\sin(x+y)}{\cos(x+y)}=\dfrac{\sin x\cos y+\cos x\sin y}{\cos x\cos y-\sin x\sin y}

Divide through numerator and denominator by \cos x\cos y to get

\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}

Next, we use the fact that x,y lie in the first quadrant to determine that

\sin x=\dfrac12\implies\cos x=\sqrt{1-\sin^2x}=\dfrac{\sqrt3}2

\cos y=\dfrac{\sqrt2}2\implies\sin x=\sqrt{1-\cos^2x}=\dfrac1{\sqrt2}

So we then have

\tan x=\dfrac{\sin x}{\cos x}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}

\tan y=\dfrac{\sin y}{\cos y}=\dfrac{\frac1{\sqrt2}}{\frac{\sqrt2}2}=1

Finally,

\tan(x+y)=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3\approx3.73

4 0
3 years ago
The table represents the function f (x) = 3x – 1.
Kruka [31]

Answer:2.0/5  68  The 1st table represents a function

Step-by-step explanation:

* Lets explain how to solve the problem

- Function is a relation where each input has a single output

- The notation of the function is f(x) = y , where x is the input of the

function and y is the out put of the function

-  The domain of the function is x and the range of the function is y

* Lets find which table represent a function

# First table:

     x      y

    -3      -1

     0      0

    -2      -1

- In the first table

∵ -3 has only -1

∵ 0 has only 0

∵ -2 has only -1

∵ 8 has only 1

∵ Every x has a single y

∴ The table represents a function

∴ The 1st table represents a function

- In the second table

   x       y

   -5       -5

    0       0

   -5       5

    6       -6

∵ x = -5 has y = -5 and y = 5

∴ One x has two values of y

∴ The table doesn't represent a function

- In the third table

    x          y

   -4         8

   -2         2

   -2         4

    0         2

∵ x = -2 has y = 2 and y = 4

∴ One x has two values of y

∴ The table doesn't represent a function

- In the fourth table

    x          y

   -4         2

    3         5

   -4         0

∵ x = -4 has y = 2 and y = 0

∴ One x has two values of y

∴ The table doesn't represent a function

4 0
3 years ago
Read 2 more answers
Peter won £75 as a prize.He gave 4/5 of the prize money as a present to Roger and Bethan.Roger and Bethan shared the present in
Molodets [167]
Roger: $24
Bethan: $36

Explanation:
4/5 of $75 is $60

So $60 is distributed to Roger and Bethan in the ratio 2 : 3.

Add the numbers in the ratio 2 : 3
2 + 3 = 5

Divide $60 by 5
60 ÷ 5 = 12

Multiply each number in the ratio 2 : 3 by 12:
2 • 12 : 3 • 12
= 24 : 36

I’m sorry if I explained this badly
But if my answer was correct, brainliest please!
Have a nice day!
-SpaceMarsh :D
7 0
3 years ago
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