The elongation α
of a planet is the angle formed by the planet, earth, and sun. it is known that the distance from the sun to venus is 0.723au
(see exercise 65 in section 6.2 ). at a certain time the elongation of venus is found to be 39.4∘.
find the possible distances from the earth to venus at that time in astronomical units (au).

Answers

Answer 1

The distance from the earth to venus is an illustration of the sine ratio

The distance from the earth to venus at that time is 1.12 au

How to determine the possibe distance?

See attachment for the diagram that illustrates the complete question.

Start by calculating the angle V using the following sine ratio

SE/sin(V) = VS/sin(E)

This gives

1/sin(V) = 0.723/sin(39.4)

Take the inverse of both sides

sin(V)/1 = sin(39.4)/0.723

Evaluate the quotient

sin(V) = 0.8779

Take the arcsin of both sides

V = 61.4

Calculate the measure of angle S

<S + <V + <E = 180

This gives

<S  = - <V - <E + 180

Substitute known values

<S  = -61.4 - 39.4 + 180

<S  = 79.2

The distance (VE) is then calculated using the following sine ratio

VE/sin(S) = VS/sin(E)

This gives

VE/sin(79.2) = 0.723/sin(39.4)

Multiply bot sides by sin(79.2)

VE = sin(79.2) * 0.723/sin(39.4)

Evaluate the product

VE = 1.12

Hence, the distance from the earth to venus at that time is 1.12 au

Read more about sine ratios at:

https://brainly.com/question/2920412

The Elongation Of A Planet Is The Angle Formed By The Planet, Earth, And Sun. It Is Known That The Distance

Related Questions

what is 4.768 as a common fraction

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Answer:

[tex] \frac{596}{125} [/tex]

should be it

please give me answer
please give me answer​

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Did I read your handwriting correctly? Is this what you wrote? If so the answer is:

[tex](x( {x}^{2} - 2xy - {y}^{2} ) \div (x + y)(x - y)^{2} [/tex]

yes or no for part two

Answers

the answer is no i think
The answer is most likely no.

HELP PLEASE URGENT!!!!!

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Answer:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

θ=π/4+2πn, 3π/4+2πn, for any integer n

Step-by-step explanation:

Tell me how to describe the translation

Answers

figure IMQU vertically over +4

Kenny has $500 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much interest will he earn in 1 year?

Answers

Answer:

$525

Step-by-step explanation:

new value = starting value(1 + rate)^years

new value = 500(1 + .05)^1

new value = 500(1.05)

new value = $525

Answer:

25

Step-by-step explanation: Im not sure how to do it thats just what IXL says

Please help!!
Will mark brainliest

Answers

Answer:

The zeros of f are x = (0,2)

The answer is √2/3 ,- √2/3



Let me know if you need explaining

What is the measure of \angle K∠Kangle, K?

Answers

Answer:

95⁰

Step-by-step explanation:

95⁰ is the measure of <k

Because in a cyclic quadrilateral sum of opposite angles is equal to 180⁰

I hope it helped you

Question 22 (2 points)
Which object listed below has the greatest momentum?
A 0.05 kg object rolling at 0.2 m/s.
B 0.15 kg object rolling at 1 m/s
C 0.15 kg object rolling at 2 m/s.
D 0.4 kg object rolling at 2 m/s.

Answers

Answer:

D.

Step-by-step explanation:

Momentum(p) is Mass(m) times Velocity(v) or p = mv

The results of the calculations are attached.  0.4 kg at 2 m/s has the most momentum:  0.8 kg*m/s

NEED HELP 100 POINTS TO ANSWER QUESTION PLEASE !!!!!!!!

Find the volume of the prism:



Question 5 options:

V = 125 in³


V = 100 in³


V = 120 in³


V = 105 in³

Answers

120 is the answer because 4*5 is 20 and then you multiply 20*6 and you get 120

factors and find
i) the HCF of 48,30 and 18.
ii) the LCM of 48, 30 and 18.

Answers

the gcf of 48, 30, & 18 is 6
the lcm of 48, 30, & 18 is 720

A spherical ball holds about 523 cubic
centimeters of air. Find the radius of the ball
to the nearest whole number. Use 3.14 for TT. ANSWER FAST

Answers

Answer:

r=4.998

Step-by-step explanation:

The equation for volume of a sphere is [tex]V = \frac{4}{3} \pi r^3[/tex].

We can subsatute 523 in for V and then solve for r by multiplying both sides by 3 and then dividing both sides by 4pi.  Then, take the cube root of each side and you will get r.

pls help with math it is due soon​

Answers

Answer:

x = 25

Step-by-step explanation:

- Use trigonometric ratios to solve for x

Cos(45) = x / (25×(2^0.5))

x = (Cos(45)) × (25×(2^0.5))

x = 25

Does the point (1, -1) lie on the line (-10x + 5y = -8)? Explain why/why not.​

Answers

hello!

In order to see whether or not a point lies on the line, we need to plug in the x-coordinate (instead of x) and plug the y-coordinate instead of y.

In this case, the x-coordinate is:-

[tex]\mathrm{1}[/tex]

and the y-coordinate is:-

[tex]\mathrm{-1}[/tex]

Plug in the values:-

[tex]\mathbf{-10(1)+5(-1)=-8}[/tex]

[tex]\mathbf{-10-5=-8}[/tex]

[tex]\mathbf{-15=-8}[/tex]

Huh?!

As you can see, we ended up with a false statement.

Hence, the answer is:-

[tex]\bigstar{\boxed{\pmb{The~point~(1,-1)~doesn't~lie~on~the~line}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

the point (1, -1) doesn’t  lie on the line (-10x + 5y = -8)

Step-by-step explanation:

Generaly , a point A(x₀ , y₀)  lies on the line of equation ax + by = c

If its coordinates verify the equation which means

When we replace x by x₀ and y by y₀ in our equation we get ax₀ + by₀ = c

Then

just replace x by 1 and y by -1 in the equation: -10x + 5y = -8

We get , -10(1) + 5(-1) = -10 - 5 = -15

Since -15 ≠ -8 then (1 , -1) don’t verify the equation

Hence ,  the point (1, -1) doesn’t  lie on the line (-10x + 5y = -8)


What is the value of the expression (2^4)^2?

Answers

Answer:

256

Explanation:

[tex]\dashrightarrow \sf \left(2^4\right)^2[/tex]

apply exponent rule: [tex]\bold{\left(a^b\right)^c=a^{bc}}[/tex]

[tex]\dashrightarrow \sf 2^{4*2}[/tex]

[tex]\dashrightarrow \sf 2^{8}[/tex]

[tex]\dashrightarrow \sf 256[/tex]

[tex]\large{\boxed{(\sf 2^{4})^2 \ \ = \ \ 256}[/tex]

please help Brianlist Provide the missing reasons for the proof.
Given:
Prove:



Answer:

Answers

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

On January 1, one share of stock in the LMNOP Corp was worth $85. By December, it lost 11.6% of its value. What is the new value of one share of LMNOP stock?

Answers

Answer:

multiple then dived the numbers together

Based on the previous worth of the stock and the value lost, the new value of the LMNOP stock is $75.14.

What is the new value of the LMNOP stock?

The value of $85 lost approximately 11.6% of its value.

The new value can be found as:

= Previous stock price x ( 1 - percentage loss)

Solving gives:

= 85 x (1 - 11.6%

= 85 x 88.4%

= $75.14.

Find out more on stock pricing at https://brainly.com/question/25300299.

Use the image below to find the missing side lengths.

Answers

Answer:

Step-by-step explanation:

I need help

Marcus goes to the park, which is 4 miles away. He walks 5/12 of the way and then jogs the rest of the way.
Write an equation to find how many miles he walks.

Answers

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

Find the area of the shaded region

Answers

Answer:

1390

Step-by-step explanation:

(35*44)-((44-(17*2))*(35-(10*2)))

= 1390

Find the common difference of the arithmetic sequence 4, 2, 0,

Answers

Explaination :

Remember that common difference is simply calculated by substracting the second number from first number. i.e., (4 - 2 = 2)

Therefore,

Common difference is 2

Additional Information :

Arithmetic progression (A.P.) is a sequence in which each term can be found by adding a certain quantity to its preceding termDifference between two consecutive terms is called common differenceProgression means it's a type of sequence in which each term is related to its predecessor and successor.

The sum of consecutive positive integers is 93.find number

Answers

I’m sure it’s 30, 31, 32

In the figure below, all lines intersect at point W. What is the value of angle VWX?*

Answers

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

What is the measure of arc AB?

Answers

Answer:

First find out area of circle and find the A B X angle then substract Total area by ABX

Answer:

68

Step-by-step explanation:

The intercepted arc (AB) is double the inscribed angle (34)

can someone please help me with this question

Answers

Answer:

88 [tex]in^2[/tex]

Step-by-step explanation:

2(2 x 6 + 4 x 6 + 4 x 2)

[tex]2[/tex][tex](wl+hl+hw)[/tex]

Alfred, an electrician, charges a $65
service fee plus $33 an hour. If it takes 2.4 hours
for Alfred to install a chandelier at a customer's
house, how much should he charge?

Answers

Answer:

$144.20

Step-by-step explanation:

2.4(33) + 65

79.2 + 65

144.2

$144.20

help me out please ty!

Answers

Answer:

a5 = 2604

Step-by-step explanation:

a1 = 4

a2 = -5(4)-1 = -21

a3 =-5(-21)-1 = 104

a4 = -5(104)-1 =-521

a5 =-5(-521)-1 = 2604

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:a1 = 4[/tex]

Now, let's proceed next till we get[tex] \tt a_5 [/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{(2 - 1)}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{1}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = (- 4 \times 4)_{}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 16_{}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 11[/tex]

Similarly,

[tex]\qquad \tt \dashrightarrow \: a_3 = 49[/tex]

[tex]\qquad \tt \dashrightarrow \: a_4= - 191[/tex]

Now, let's solve for [tex]\tt a_5 [/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= - 4( - 191) + 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= 764 + 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= 769[/tex]

I don’t understand this question

Answers

Answer:

Step-by-step explanation:

9
Manuel bought supplies for a school project for $11.29. He paid with a $20 bill. How much change did he get back?
OA $31.29
OB. $8.71
OC. $7.71
OD. $8.81
Reset
Next

Answers

Answer:

B

Step-by-step explanation:

$20-$11.29= 8.71 change he wil get back

If 3/x = 5/y, what is the value of y/x?

Answers

Answer: 5/3

Step-by-step explanation:

1. 3/x = 5/y

2. Cross multiply

3y = 5x

3. Dividing the sides by 3

y = 5x/3

4. Dividing the sides by x

y/x = 5/3

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