The length of a planet's orbit around a star is approximately 22,200,000 km. It takes the planet about 1230 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf?
Answer:
Approximately [tex]12.9\; \rm km \cdot h^{-1}[/tex], assuming that this orbit is circular.
Step-by-step explanation:
The question is asking for a tangential velocity with the unit [tex]\rm km \cdot h^{-1}[/tex]. The unit of the given distance is already in [tex]\rm km[/tex] as required. Convert the unit of the orbital period to hours:
[tex]\begin{aligned}T &= 1230\; \text{day} \times \frac{24\; \rm h}{1\; \text{day}}. = 29520\; \rm h\end{aligned}[/tex].
Calculate the angular velocity [tex]\omega[/tex] of this planet from its orbital period:
[tex]\begin{aligned}\omega &= \frac{2\, \pi}{T} \\ &= \frac{2\, \pi}{29520\; \rm h} \approx 2.1285 \times 10^{-4}\; \rm h^{-1}\end{aligned}[/tex].
Given the radius [tex]r[/tex] of the orbit of this planet, the tangential velocity [tex]v_{\perp}[/tex] of this planet would be:
[tex]\begin{aligned}v_{\perp} &= \omega\, r \\ &\approx 2.1285 \times 10^{-4}\; \rm h^{-1} \times 2.22\times 10^{7}\; \rm km \\ &\approx 4.73 \times 10^{3}\; \rm km \cdot h^{-1}\end{aligned}[/tex].
If the orbit of this planet is circular, the velocity of the planet would be equal to its tangential velocity: [tex]4.73\times 10^{3}\; \rm km \cdot h^{-1}[/tex].
What is are the steps for multiplying (0.03)(-0.02)
Answer: (0.03)(-0.02) = -0.0006
Step-by-step explanation:
Step 1: Remove the Parenthesis
(0.03)(-0.02) → 0.03 ⋅ 0.02
Step 2: Multiply
0.03 ⋅ 0.02 = -0.0006
, Hope this helps :)
Have a great day!!
Hey if someone can help me I'd appreciate it please show your work.
Answer:
Step-by-step explanation:
Umm what is your question u did not add it?
Mario is a garbage collector in Mabuhay Homes 2000. He can collect garbages in 80 houses in just 5 working days. In 8 days straight work, he reached 140 houses.
Find the changes of Mario's work, in working straightly?
What was the total number of houses he collected in 12 days if he worked straight?
What will be total number of houses he can collect in 20 days if he will work straight continually?
the equation p=2l+20 gives the perimeter P (in inches) of a rectangular box with a length of l feet. Identify the independent and dependent variables.
Length is the independent variable while P is the dependent variable.
The dependent and independent variableIndependent variables are variables that can stand alone while dependent are depend on others.
Independent variables are input variables of a function whole independent are the output variables of a function.
Given the function as shown:
P = 2l + 20
length is the independent variable while P is the dependentw variable.
Learn more on independent and dependent variables here; https://brainly.com/question/25223322
1. Nancy works at a Dunkin Donut. The coffee maker has the ability to make 64oz of coffee. If
one coffee maker is half full, and coffee is brewed at a rate of 2oz per minute.
a. Write an equation to represent the total amount of coffee, c, in the coffee makers after t
minutes of brewing. (2 points)
b. How much coffee is there after 10 minutes of brewing? (2 points)
a = 2t+32=c
b= 2*10=20+32=52oz of coffee
I think this is right
BRAINLIEST x 3
It is kinda late and I need to finish my work
Please help me
If you answer this I will create two other posts to give you extra brainliests
please, help!!!! Bussines Calc. I give 20 points. I need a full explanation.
I believe you are trying to find the most Cheapest cost?
Since the area had to be 1200m^2 the most biggest numbers we could divide with is 30 x 40, which equals to 1200.
30 x 20 (expensive one the lower) = 600 (wall 3) + 20 x 20 = 1000 (wall 3 + wall 1)
40 x 13 (cheapter one the higher) = 520 (wall 4) + 32 x 13 = 936 (wall 4 + wall 2)
Add all together, $1936 to build the whole fence.
(I don't know for sure if I am right. If I am right, can I have a brainliest?)
I will give brainliest, assuming it allows me too
Answer: 611.64
Step-by-step explanation: add the check up and you get the total (answer)
Answer:
Step-by-step explanation:
it is sum of all amount of check values divided by no of those values
sum / 5
Rafael has two coupons for a phone.
Coupon A:
Coupon B:
$8 rebate on a $57 phone
20% off of a $57 phone
Choose the coupor that gives the lower price.
Then fill in the blank with the correct value.
Coupon A gives the lower price.
The price with coupon A is $] less than the price with coupon B.
Coupon B gives the lower price.
The price with coupon B is $] less than the price with coupon A.
lol
can someone please help me
Answer:
135=9r
Step-by-step explanation:
"product" means multiplication.
It takes 25 minutes to prepare the cake mixture and 70 minutes to bake in the
Kirsty is going to make a birthday cake for the party.
Kirsty then needs three quarters of an hour to decorate the cake.
The cake needs 1.5 hours to cool before decorating.
She wants to finish decorating the cake at least 2 hours before the
oven.
party starts.
The party starts at 2.30 pm.
What time should Kirsty start making the cake?
Show why you think this.
Answer:
she will start making it at 10 am
if a woman sells bitcoins for £42000 which is 12%more than she originally bought them for then calculate the original value of her bitcoins
What is a reasonable estimate for the subtraction equation 3.2 − 1.4 = ________ when you round each number to the nearest whole number? (2 points)
1
1.5
2
2.5
Answer:
Hello!
After reviewing the question you have provided, I came up with the correct answer:
C) 2
Step-by-step explanation:
Firstly:
As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.
When you round the two numbers you should come up with "3-1= ____".
This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.
So 3.2 rounds to 3
And 1.4 rounds to 1.
With the new equation you can then solve "3-1= 2"!
Hope this helps!
4(x + 3) + 3x = 24
Step by step please
Answer: 12/7
Step-by-step explanation: steps in pic, hope this helps!
steve has been lifting 225 pounds during a deadlift for several weeks. during his warmup he wants to lift 60% of this weight. how much weight should he lift?
Answer:
135 lb
Step-by-step explanation:
Turn 60% into a decimal (0.60)
Then multiply 225 by 0.60
225 * 0.60 = 135 lb
10-(-x)=-5
How do I find out what x is
Answer:
x=-15
Step-by-step explanation:
10-(-x)=-5
10+x=-5
x=-5-10
Answer:
x = -15
Step-by-step explanation:
A negative times a negative equals a positive, so it's just positive x. After that, isolate the variable.
can someone help me solve this 11
[tex]\dfrac{\sin \alpha}{\cos \alpha + \sin \alpha} - \dfrac{\cos \alpha}{\cos \alpha - \sin \alpha}\\\\\\=\dfrac{\sin \alpha(\cos \alpha - \sin \alpha) - \cos \alpha(\cos \alpha + \sin \alpha)}{(\cos \alpha + \sin \alpha)(\cos \alpha -\sin \alpha)}\\\\\\=\dfrac{\sin \alpha \cos \alpha - \sin^2 \alpha - \cos^2 \alpha - \cos \alpha \sin \alpha}{\cos^2 \alpha - \sin^2 \alpha}\\\\\\=\dfrac{-(\sin^2 \alpha + \cos^2 \alpha)}{\cos 2 \alpha}\\\\\\=-\dfrac{1}{\cos 2 \alpha}\\[/tex]
[tex]=-\left(\dfrac{1}{\tfrac{1- \tan^2 \alpha}{1 + \tan^2 \alpha}} \right)~~~~~~~~~~~~~~~~~~; \left[\cos 2\theta = \dfrac{1 - \tan^2 \theta}{1+ \tan^2 \theta} \right]\\\\\\\ = -\left(\dfrac{1+ \tan^2 \alpha}{1- \tan^2 \alpha}\right)\\\\\\= \dfrac{1+\tan^2 \alpha}{\tan^2 \alpha -1}[/tex]
I need help with this please! It’s due tonight and I don’t know.
Answer:
b
Step-by-step explanation:
(ASAP) I HAVE C- IN MATH RIGHT NOW AND I NEED TO GET UP MY GRADE PLSSS HELP
Answer:
Step-by-step explanation:
The product of a number, n, and 0.4 is 8:
(n)(0.4) = 8
n = (8/0.4)
n = 20
20 points! :D
Not sure how to do this. :/
Answer:
t = (A - P) / Pr
Step-by-step explanation:
A = P + Prt
A - P = Prt
(A - P) / Pr = t
t = (A - P) / Pr
Simplify the expression : 8-(x-4)-2x+3(5-x) ?
Answer:
-6x+27
Step-by-step explanation:
thanks + brainliest = explanation
if needed, of course :)
What is the solution set of the equation 6x^2 - 18x - 18 =6?
Answer:
The solution set is {4, -1}
Step-by-step explanation:
6x²- 18x -18 = 6
6x²- 18x -18 - 6 = 0
6x²- 18x -24 = 0
6(x² - 3x - 4) = 0
6(x - 4)(x + 1) = 0
6 = 0 not true
x - 4 = 0 ; x + 1 = 0
x = 4 x = - 1
The solution set is {4, -1}
how do you do vectors
Answer:
i learn and solve them easily they r easy
what is the slope?
what is the y-intercept?
is it positive or negative?
Answer:
A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin.
Step-by-step explanation:
Answer:
Slope = m = 2
b = 0
Positive
Step-by-step explanation:
Use formula y=mx+b
y= 2X = 2X+0
m is the number multiplied by X
m = 2
m is greator than zero so the slope is positive
when b is not shown then it is zero
The 4 in 149 is how many times bigger than the 4 in 74?
4 times
10 times
30 times
100 times
Answer:
10 times
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE AN AWESOME DAY.
Answer:
10 times
Step-by-step explanation:
The 4 in 149 is 10 times bigger than the 4 in 74 because the place value of 4 in the number 149 is 40 and the place of 4 in the number 74 is 4, so if we divide 40/4 we will get 10. Thus, choice 2nd is correct
, leisan can drive 32 miles on every gallon of gasoline. if she fills up her tank for $2.39 per gallon, how much will it cost her to drive 448 miles?
Answer:
It will cost her $33.46
Step-by-step explanation:
She drives 32miles per gallon
In 448miles, she will use: (448 × 1)/32
= 14gallons
If a gallon costs $2.39
Then 14gallons will cost, 14×2.39
= $33.46
a path forms a diagonal of a rectangular city park. a bench is placed along the path at a point that is closest to the fountain. this point is 30 yards from one end of the path and 50 yards from the other end of the path what is the distance from the bench to the fountain to the nearest yard
The answer: 39 yards
What is the missing numerator?
blank over seven minus three-eighths equals twenty-seven fifty sixths
4
5
6
7
Answer:
6
Step-by-step explanation:
6/7 - 3/8= 27/56
Answer:
it is 6
Step-by-step explanation:
I need help asap please!