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).
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
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Padraig is a financial advisor. he earned a salary of $80,000 last year and sold stocks for $5,000. which of the following types of income did padraig have? i earned income ii passive income iii capital gains income a. i and ii b. i and iii c. ii and iii d. iii please select the best answer from the choices provided a b c d
The earned income is $80,000 and the capital income is $5,000. Then the correct option is B.
What is capital gain?A profit in the value of an asset then an investor can make a profit by selling an asset. Then selling price of an asset must be greater than the cost of an asset.
Padraig is a financial advisor.
He earned a salary of $80,000 last year and sold stocks for $5,000.
A salary of $80,000 is known as earned income because of employment bases.
$5,000 is a capital gain because this is obtained from the selling of stocks.
The income gained by the interest income, rental income, or dividend income is known as passive income.
More about the capital income link is given below.
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If the price of 4 dozens pencils is Rs. 264, what will be the price of 50 pencils?
Answer:
Rs. 275
Step-by-step explanation:
4 dozens = 4 × 12 = 48
4 dozens pencils = 48 pencils
48 pencils = Rs. 264
1 pencil = Rs. 264÷48
1 pencil = Rs. 5.50
50 pencils = 5.50×50
50 pencils = Rs. 275
Answer:
Rs. 275
Step-by-step explanation:
4 dozens = 48 pencils
48 pencils = Rs. 264
Find the price of 1 pencil to calculate the price of 50 pencils.
264 ÷ 48 = 5.5
1 pencil = Rs. 5.5
50 x 5.5 = 275
50 pencils = Rs. 275
hope this helps!! p.s. i really need brainliest :)
help me please????? thanks!
Step-by-step explanation:
11
because the first digit after the point make the the nearest whole number
if the digit is up to 5 and above then we can round up the next digit but if it's less than 5 you can't do anything
Puzzle in the picture. explain how you did it, the answer should be 23.
Answer:
Bro you have got the answer as 17 I don't know how
Step-by-step explanation:
Please mark me as brainliest
Solve each of the following equations. Show its solution set on the number line. |3x-4(x+1)|=2
Answer:
x= -6, -2
Step-by-step explanation:
Answer:
x=-6, x=-2
Step-by-step explanation:
HELP HELP HELP I'LL GIVE BRAINLISET
Answer:
164.
Step-by-step explanation:
We can break this shape into a rectangle and a trapezoid.
Area for a rectangle is l x w, or in this case, 8 x 16.
8 x 16 = 128, so the rectangle’s area is 128.
Area for a trapezoid is ((a+b)/2)h.
We do not have all the info we need to solve this equation yet. We need the measurement of two sides of the trapezoid. This is 16 - 12, or 4. The other side of the trapezoid we need to find is 16 - 8, or 8.
Now we can plug in the numbers.
((8 + 10)/2)4
(18/2)4
9 x 4
36
Now we can add up the areas of both shapes to find the answer.
36 + 128 = 164, so the answer is 164.
Answer:164
Step-by-step explanation:
step 1: divide the irregular shape into regular shapes in this case Triangle and two rectangles
step 2: Calculate the individual areas for the shapes the area of the rectangle is (128) because the sides 16 and 8 add up to 128 as area.For the smaller rectangle the area is (32) since 8 times 4 is equal to 32 and lastly for the triangle the area is four since the base of 2 times the height of 4 equals 8 and 8 divided by two is 4 so the are of the triangle is (4)
step 3: Combine all the areas 128+32+4=64 therefore the area for the irregular figure is (164)
this question is too hard
Answer:
7.50 is the answer to the question
Answer:
$7.50 for 3 bottles of water.
Step-by-step explanation:
It is given that 4 bottles of water costs $10. Find the unit price per bottle of water, by simply dividing 4 from both the bottle of water as well as the cost:
(4 bottles of water/$10)/(4/4) = (1 bottles of water/(10/4)) = 1 bottles of water/2.5
Each bottle costs $2.50
Check. Multiply the unit price per amount of units bought:
2.50 x 4 = 10
Next, find the unit price for 3 bottles. Multiply the unit price with the amount of bottles bought:
$2.50 x 3 = $7.50
$7.50 is your answer.
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What is the radius and diameter of 4.2
The radius of a circle is the length between a circle's centre and edge.
The diameter of a circle is its radius doubled.
Solving the QuestionThe given diagram tells us the radius is 4.2 cm.
To solve for the diameter, multiply the given radius by 2:
4.2 × 2 = 8.4
Therefore, the diameter of the circle is 8.4 cm.
AnswerRadius: 4.2 cm
Diameter: 8.4 cm
Find x when y = 18, if y = 5 when x = 4
Answer:
y=18
x=14.4
Step-by-step explanation:
Which of the following is the name for a hollow depression in which drainage collects?(1 point) 1.cave 2.sinkhole 3.v-shaped valley 4.canyon
Answer:
sinkhole valley's typically dont collect water where as sink holes are caused by water displacement of soil
if your parents shop in maryland the sales tax is 6% if they buy $180 worth of groceries what is there total
You can do this problem in two ways.
Either the long way or the short and easy way.
Here is the easy way:
You do 180x1.06 to get you their total of $190.80
Or you can do the slightly longer way which finds you the tax amount which then you can add onto the total:
You do 180*0.06 which gets you $10.80 of tax. $10.80 is how much tax they have to pay on top of the $180, then we can do 180+10.80 to get us the grand total of $190.80.
Happy to help
You are filling a 5-L fish tank using a 250-mL container. How many full containers are required to fill the fish tank? PLEASE HELP NOW
Answer:
20 containers
Step-by-step explanation:
5L = 5000ml
so,
5000/250 = 20 containers
I hope my answer helps you.
fill 5L tank using 250 ml container .
to find:how many full containers are required to fill the tank.
solution:1 L= 1000 mL
1000 mL/250mL = 4
1 L= 4 full containers
4 containers x 5 liters = 20 full containers.
so, 20 full containers are required to fill the fish tank.
Part A Write a numerical expression to represent the approximate perimeter of triangle FGH in terms of the lengths of its sides.
side FG and FH are 5.8 and side HG is 6 units
p=FG+FH+HG =5.8+5.8+6 is a numerical expression to represent the approximate perimeter of triangle FGH.
Perimeter
The perimeter of a geometric figure is the sum of its sides.
The question gives:
the geometric figure - trianglethe sides of the triangle - 5.8, 5.8 and 6Therefore the perimeter will be the sum of 5.8, 5.8 and 6. You can write as:
p=FG+FH+HG
p= 11.6+6=17.6
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How many milliliters are in 12.9 liters?
Answer:
12,900
Step-by-step explanation:
12.9 x 1000 = 12,900
Answer:
12,900. That is because you must multiply the amount to find the converted value, in this case, 12,900.
What is the value of the 9 3/4- 2 1/5 +1/2
Answer:
93 will the answer
Step-by-step explanation:
yes htey are good
please help me due today and giving 23 points
Answer:
The answer is b. 4*3 2/5.
Step-by-step explanation:
It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.
CHOOSING BRAINLIEST
A counselor determined that 60% of the senior class had taken a precalculus course and that 15% of the senior class had taken both a precalculus course and a statistics course?
What percentage of seniors who took a precalculus course also took a statistics course?
Using conditional probability, it is found that 25% of seniors who took a precalculus course also took a statistics course.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: Senior student took a precalculus course.Event B: Senior student took a statistics course.The probabilities given are [tex]P(A) = 0.6, P(A \cap B) = 0.15[/tex].
The desired probability is P(B|A), hence:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.6} = 0.25[/tex]
0.25 = 25% of seniors who took a precalculus course also took a statistics course.
More can be learned about conditional probability at https://brainly.com/question/14398287
subtract (3√3+4√5) from (3√5-4√3) can someone please help me with this ASAP
Answer: [tex]\bold{-\sqrt{5}-7\sqrt{3}}}[/tex]
Step-by-step explanation:
[tex]\left(3\sqrt{5}-4\sqrt{3}\right)-\left(3\sqrt{3}+4\sqrt{5}\right)[/tex]
[tex]=3\sqrt{5}-4\sqrt{3}-3\sqrt{3}-4\sqrt{5}[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:3\sqrt{5}-4\sqrt{5}=-\sqrt{5}[/tex]
[tex]=-\sqrt{5}-4\sqrt{3}-3\sqrt{3}[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:-4\sqrt{3}-3\sqrt{3}=-7\sqrt{3}[/tex]
[tex]{=-\sqrt{5}-7\sqrt{3}}[/tex]
Which correctly ranks, from fastest to slowest, the time it will take one wavelength to pass a certain point? wave x → wave y → wave w → wave z wave z → wave w → wave y → wave x wave x → wave w → wave y → wave z wave z → wave y → wave w → wave x
The question refers to the speed of sound waves. The expression that shows the waves from the fastest to the slowest is option A. See attached for full question
What are sound waves?A sound wave is the rhythm of disruption induced by the flow of energy as it propagates away from the source of the sound across a medium.
Why is option A the correct answer?Option A - is the correct answer because the temperature of a medium ( which may be air, water, or solid matter) affects the speed at which waves of sound travel through it.
The faster sound waves flow through a medium, the higher its temperature. This is why Wave X will pass through the fastest at 33°C, followed by Wave W at 15°C, etc.
Learn more about Sound Waves at:
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Answer:
C. Wave X --> Wave W --> Wave Y --> Wave Z
Why would neighborhoods with more station wagons tend to have more
playgrounds?
A. Adoring crowds of children like to follow station wagons to the
nearest playground.
B. Playground equipment dealers tend to buy station wagons and
then have kids to fill them.
C. Families with children tend to own station wagons and move to
neighborhoods with playgrounds.
D. Playgrounds are made from former used car lots (which used to
sell station wagons).
O E. Station wagon owners like to build playgrounds.
Answer:
C
Step-by-step explanation:
Based on my knowledge, thast what i think it is, but im not sure
Chapter 9: Volumes of Pyramids > Section Exercises 9.5 > Exercise 21
For the given angle measure, find the measure of a supplementary angle and the measure of a complementary angle, it possible. If not possible, type the word none in lowercase
letters in the box
27
The supplementary angle is:
The complementary angle is:
Answer:
The complementary angle is 63 degrees and
The supplementary angle is 153 degrees.
Step-by-step explanation:
A complementary Angle has a total of 90 if you subtract 27 from 90 you will get 63
A supplementary adds up to 180 degrees so subtract 27 and you will get 153.
Hope that helps.
Answer:
Supplementary angle = 153°
Complementary angle = 63°
Step-by-step explanation:
Supplementary angles: Two angles that sum to 180°
Complementary angles: Two angles that sum to 90°
Given angle = 27°
⇒ Supplementary angle = 180° - 27° = 153°
⇒ Complementary angle = 90° - 27° = 63°
Mrs. Cochran bought 1.5 lb. of ground beef.
How many ounces did she buy?
Answer:
24 oz
Step-by-step explanation:
16 oz to a pound
16 x 1.5 = 24 oz
Answer:
24 ounces
Step-by-step explanation: One pound equal 16 ounce plus a half a pound which is 8 equals 24
6. TITANIC VEER is an anagram of what eleven-
letter word?
Answer:
Interactive
Step-by-step explanation:
NEED HELP ASAP!!! 100 POINTS!!!!!!! look at pic
Answer:
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3
Step-by-step explanation:
the coordinates of the points are
(1, - 6 ), (2, - 3 ), (3, 0 ), (4, 3 ), (5, 6 )
consider the values of y
- 6, - 3, 0, 3, 6
there is a common difference between consecutive terms, that is
- 3 - (- 6) = 0 - (- 3) = 3 - 0 = 6 - 3 = 3
this indicates the sequence is arithmetic with recursive rule
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + d ( d is the common difference )
here d = 3 , then recursive formula is
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3 ; with a₁ = - 6
What is the square root of 546 divided by 67 (100 points!)
Round answer to 2 decimal points
Answer: the answer is 0.35 because
Square root of 546 is 23.3666428911
23.3666428911 divided by 67 is 0.34875586404
0.34875586404 rounded to 2 decimal points is 0.34875586404
the answer I had is 0.3487. first of all you have to find the square root of 546 which is 23.366 then you divide it by 67 which will give you 0.3487
IMAGE IS DOWN BELOW!
SOMEONE PLEASE ME
ILL YOY BRAINLIST ANSWER AND POINTS!!
The length of a picture frame is 7 inches more than the width. For what values of x is the perimeter of the picture frame greater than 150 inches.
Answer:
x > 34
Step-by-step explanation:
Let x be the width of the picture frame
It then follows that the length = x + 7
Therefore, our inequality is:
[tex]2(x+7) +2x > 150\\2x+14+2x > 150\\4x > 136\\x > 34[/tex]
For all values of x greater than 34 the perimeter is greater than 150 inches.
Answer:
x is greater than 34 inches.
Step-by-step explanation:
Let x = width, then the length = x+7 inches.
Perimeter = 2(W + L) = 2(x + x + 7) = 4x + 14 , so:
4x + 14 > 150
4x > 150 - 14
4x > 136
x > 34.
Mr. Young is buying a house. He can spend no more than 29% of his income on monthly house payments If he earns $4,200 per month, what is the largest monthly house payment he can make?
Answer:
$1218
Step-by-step explanation:
Our info is that Mr. Young's monthly income is $4,200 per month. Now if we multiply this by .29 (the %29 percent he can spend) We get $1218
Estimate the measure of angle 1
Answer:
The answer is 140 degrees.
Step-by-step explanation:
It is closer to 90 degrees than 180 degrees, but it is greater than 90 degrees and bigger than 180 degrees.
Hope this helps.
