Answer:
MRO’s orbit is near enough to circular
that the formulas for circles can be used.ep-by-step explanation:
The MRO completes one orbit around Mars in about 2.3 hours, and travels a distance of 40,727 km in that time.
What is MRO?The Mars Reconnaissance Orbiter (MRO) is an orbiting spacecraft that was launched in 2005 by NASA. The objective of MRO is to study the climate, geology, and geography of Mars. MRO is currently in a nearly circular polar orbit around Mars, which allows it to observe the entire planet in high resolution. MRO has an orbital altitude of 255 km, and its orbital period is about 2.3 hours.
The circumference is 2πr, where r is the radius of the orbit. The radius of the orbit of MRO is the difference between the polar diameter of Mars and the closest approach of MRO to the planet, which is 6752 km - 255 km = 6507 km.
Thus, the circumference of the orbit of MRO is 2πr = 2π x 6507 km = 40,727 km. Therefore, the MRO travels 40,727 km in one orbit.
For more questions related to circumference
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guys pls help and do it like 1a: _________ for all the questions thanks
Answer:
no
Step-by-step explanation:
Bryan randomly asked several students which type of animal they had at home as a pet. The results are in the pie chart below.
a. What percent of the students had dogs?
b. What percent of the students had birds?
c. How many total students did Bryan interview?
Answer:
60% of the students have dogs
10% of the students have birds
Bryan interviewed 200 students
Step-by-step explanation:
a.3/5 = 60%
b.60% + 30% = 90%
100% - 90% = 10%
c. 20 x 10 = 200
Answer: 60%, 10%, 200 students.
Step-by-step explanation:
Let's start with turning all of the values into percentages.
3/5 of the students said dogs. As a percentage, 3/5 is equal to 60%.
We now have two percentages, the amount of cats and the amount of dogs. 30%+60%=90%. So that leaves 10%, and that 10 percent is the 20 students who had birds.
If 20=10%, all we have to do is multiply 20 ten times to get to 100%. 20x10=200.
There were 200 students interviewed.
A cylindrical of oatmeal canister has a diameter of 4 inches and a height of 10 inches. The manufacturing company wants to package the oatmeal in square containers to cut back on wasted storage space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have, to the nearest 1/4 inch, to hold the same volume of oatmeal? Use 3.14 for the value of π.
Step-by-step explanation:
Volume of cylinder = pi r^2 h
Volume of square container = s x s x h
they need to be equal
pi r^2 h = s^2 h
pi (2)^2 * 10 = 4^2 h (diameter = 4 then radius = 2)
40pi / 16 = h = 7.9 in = ~ 8 in to the nearest 1/4 inch
The Perseverance Mars rover uses a special coring bit to drill out a rock cylinder 13 mm in diameter. As the rover drills, the rock core moves into one of 38 sample tubes. If the coring bit collects a rock cylinder 60 mm in length, what is the volume of the rock in the sample tube?
Answer:
234
Step-by-step explanation:
Answer:
209.58mm(Rounded)
Step-by-step explanation:
V=[tex]\pi[/tex]r^2h
=[tex]\pi[/tex](6.5)^2(60)
=7963.94/38
=209.58mm
I NEED THIS RIGHT THIS MOMENT
Can someone pls help!!
HELP ASAPPP >>>
(PLS ANSWER THE QUESTION IN THE PICTURE BELOWW) TYYY
+ brainliest
Answer:
Not proportional
Step-by-step explanation:
The table is not proportional because y doesn't vary directly with x, aka., not in a y=kx relationship.
Answer:
It is not proportional
Step-by-step explanation:
The table is not proportional because they are not in a y=kx relationship.
hope this helps :)
Twelve students have an equally likely chance of being selected in a drawing at school. Eight are 7th graders and four are 8th graders.
1) What is the probability that an 8th grader will be selected?
2) If TWO students are being chosen for the drawing, what is the probability that BOTH students are 8th graders?
Answer all of these questions.
1) A survey of 4,000 Americans found that 28% did not vote in the local election.
Population:
Sample:
2) The average points scored by every third member of the basketball team is 13.6.
Population:
Sample:
3) A study found that 55% of college graduates took out student loans to pay for college.
Population:
Sample:
4) In a Washington Post poll, 72% of readers indicated they were happy with the economy.
Population:
Sample:
Answer:
Population: All Americans eligible to vote in the local election
Sample: 4,000 Americans who were surveyed
Population: All members of the basketball team
Sample: Every third member of the basketball team
Population: All college graduates
Sample: The group of college graduates studied in the study
Population: All readers of the Washington Post
Sample: The group of readers who responded to the poll
Answer: Population: All Americans eligible to vote in the local election
Sample: 4,000 Americans who were surveyed
Population: All members of the basketball team
Sample: Every third member of the basketball team
Population: All college graduates
Sample: The group of college graduates studied in the study
Population: All readers of the Washington Post
Sample: The group of readers who responded to the poll
Step-by-step explanation: That's gotta be it
fill in the blanks i need help
★ hope this helps you !
step 1 ⋆ multiply 4 by 5 and multiply 4 by 3x
step 2 ⋆ subtract the products
( i ' m not 100 % sure this is correct bc i don ' t know the equation : ( because you didn ' t show it . . . so it may be wrong , sorry ! )
Answer:
X = 8
Explanation:
First you have to multiply 4 · 5 and also multiply 4 · 3x
Then you subtract the products
Hope this helps :)
MULTI CHOICE Q
look in picture
Answer:
D
Step-by-step explanation:
The two legs ( shorter sides) have the right angle between them in a right triangle and
5^2 + 9^2 DOES equal 13^2
jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 5 inches. How much paper will she use?
Answer: 420
Step-by-step explanation:
The two triangles below are similar. Use scale factor to find x
How to write solution: X = __ cm
i need help i dont understand the exponets
Answer: the small number shows how many numbers their should be so small number 7 then big number 5 would mean 5 5 5 5 5 5 5
Step-by-step explanation:
Answer all of these questions.
1) If a total of 160 people bought drinks at the stadium on Friday, how many could be expected to have ordered a medium?
2) If a total of 480 people bought drinks at the stadium on Saturday, how many could be expected to have ordered a small?
3) If a total of 100 people bought drinks at the stadium on Monday, how many could be expected to have ordered a small, medium, or large?
1 Each person can have ordered a medium drink if they bought drinks at the stadium on Friday. Therefore, 160 people can be expected to have ordered a medium drink.
This question was confusing as I don’t know if I put the right answers for the ones I wrote on
Answer:
(a) C: $36 per hour; B: $38 per hour
(b) C: c = 36(h -1) +52; B: c = 38(h -1) +42
(c) C: $196; B: $194
(d) 270 = 38(h -1) +42; h = 7
(e) Brian charges $270 for working 7 hours
Step-by-step explanation:
Given a table of costs and hours for hiring DJs Celinda and Brian, you want to know their hourly costs, equations for their costs, cost for 5 hours, and hours for a cost of $270.
(a) Hourly costThe cost of an additional hour can be found by subtracting the cost for 1 hour from the cost for 2 hours:
Celinda: $88 -52 = $36 . . . . . cost increase per hour
Brian: $80 -42 = $38 . . . . . . . cost increase per hour
(b) EquationsWe can use the "point-slope form" equation of a line to write the equations for the costs.
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
Rearranging, this is ...
y = m(x -h) +k
Here, the slope is the cost per hour. A suitable point is the first one in the table. The variables 'c' and 'h' are defined for us.
Celinda: c = 36(h -1) +52
Brian: c = 38(h -1) +42
(c) 5 hoursUsing h=5 in each of these equations, we have ...
Celinda: c = 36(5 -1) +52 = 196 . . . . cost for 5 hours
Brian: c = 38(5 -1) +42 = 194 . . . . cost for 5 hours
(d) $270 to Brian
Using the equation for Brian's cost, we simply need to set c=270 to have the equation we need:
270 = 38(h -1) +42 . . . . equation to find hours
The solution to that equation is ...
270 -42 = 38(h -1) . . . . . subtract 42
228/38 = h -1 . . . . . . . . . divide by 38
6 +1 = h = 7 . . . . . . . . . . . add 1. This is the solution.
It would cost $270 to hire Brian for 7 hours.
(e) DescriptionThe solution to the equation for c=270 is h=7. Since h represents the number of hours the DJ is working, this solution tells us Brian will charge $270 for working 7 hours.
__
Additional comment
The two equations can be simplified by eliminating parentheses and combining like terms:
Celinda: c = 36h +16
Brian: c = 38h +4
Parts (d) and (e) work together. The "solution" h=7 doesn't mean anything except in the context of the question it is answering. The question is "how many hours for a charge of $270." The value h=7 means the answer is Brian charges $270 for 7 hours' work.
The radius of a cylinder is (3x-2cm). The height of the cylinder is (x+3cm).
What is the surface area of the cylinder?
Use the formula A=2\pi r^(2)+2\pi rh.
Answer:
[tex](24\pi x^2-10\pi x-4\pi)[/tex] square centimeters
Explanation:
Let
[tex]r=\text{radius of the cylinder}=3x-2 < br/ >[/tex]
[tex]h=\text{height of the cylinder}=x+3[/tex]
Then the surface area of the cylinder is given by
[tex]A=2\pi r^2+2\pi rh[/tex]
[tex]=2\pi r(r+h)[/tex]
[tex]=2\pi (3x-2)((3x-2)+(x+3))[/tex]
[tex]=2\pi (3x-2)(4x+1)[/tex]
[tex]=2\pi(12x^2-5x-2)[/tex]
[tex]\boxed{A=(24\pi x^2-10\pi x-4\pi )cm^2}[/tex]
read the question then answer ones with a ★ beside it .
bryce has a board that is 8[tex]\frac{5}{16}[/tex] feet long .
He cuts off 2[tex]\frac{3}{8}[/tex]
feet to use for a project . what is the length of the board that is left ?
★ . what is the original length of the board ?
★ . what is the length that was cut off ?
★ . write and solve an equation .
★ . the length of the board that is left is ?
Answer:
The original length of the board is 8 feet.
The length that was cut off is 2 feet.
One possible equation we can use is: x = 8 - 2, where x represents the length of the board that is left. Solving for x, we get x = 6 feet.
The length of the board that is left is 6 feet.
Step-by-step explanation:
We are given that the board was originally 8 feet long. Bryce cuts off 2 feet from the board to use for a project. Therefore, the length of the board that is left is 8 - 2 = 6 feet.
To solve this problem algebraically, we can set up an equation where x represents the length of the board that is left. We know that the original length of the board is 8 feet, and 2 feet was cut off, so we can write:
x = 8 - 2
Simplifying this equation gives us:
x = 6
Therefore, the length of the board that is left is 6 feet.
i need to know the area
Answer:
Step-by-step explanation:
You would do base times height so 11x11=121 then you divide it by 2 which equals 60.5.
PLS ANSWER BELOWWW i am begging you
Answer:
123
Step-by-step explanation:
the two triangles are equiangular.
VZ/ZY = VW/WX
13.5/27.5 = VW/36
VW= 16.5*36/27.5 = 21.6
WZ/XY= 3/5
WZ:XY= 3:5
Pythagoras THEROM
44^2 + XY^2= 57.6^2
XY= 37.17
THE PREMETER = 22.3+37.17+36+27.5=123
Do you notice any points on the graphs that are an extreme value? What does this tell you?
Drag each expression to show whether it is equivalent to 9(t + 3), 9t + 3, or neither.
Answer:
Step-by-step explanation:
9t + 3
3(3t + 1)
(3 * 3t) + (3 * 1)
4t + 3 + 5t
9(t + 3)
(9 * t) + (9 * 3)
9t + 27
Neither
(9 + t) + (9 + 3)
Answer: hope this helps ♡
9t + 3:
3(3t + 1) & (3 × 3t) + (3 × 1) & 4t + 3 + 5t
9(t + 3):
(9 × t) + (9× 3) & 9t + 27
Neither:
(9 + t) + (9 + 3)
help me and thank you
Answer:
A rectangle is a parallelogram.
Step-by-step explanation:
A parallelogram is a shape with 4 sides. A rectangle has 4 sides and is therefore a parallelogram. It also has two sets of parallel lines which a rectangle does share with a parallelogram.
At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.
a circle graph titled 2022 Winter Olympic Medals, with three sections labeled gold 20 percent, silver 30 percent, and bronze 50 percent
How many silver and bronze medals were won?
Answer:80
Step-by-step explanation:
50 + 30 = 80
Needed by 2:00pm Thx
Answer:
1017 cm³
Step-by-step explanation:
To find the volume of this figure we will first need to divide it into 2 sections. First, we will find the volume of the semicircle on top then the cone at the bottom!
1) Semicircle
The simplest way of doing this is to find the volume as if it was a circle and then divide that result by 2! ([tex]\frac{4}{3}[/tex]πr³)
[tex]\frac{4}{3}[/tex] × 3.14 × 6³ = 904.32904.32 ÷ 2 = 452.162) Cone
To find the volume of the cone we need to apply the equation πr²[tex]\frac{h}{3}[/tex] (where h = height)
3.14 × 6² × [tex]\frac{15}{3}[/tex] = 565.23) Add
452.16 + 565.2 = 1017.361017 rounding to the nearest whole number!Hope this helps, have a lovely day! :)
How do similar triangles make it easier to measure very tall objects.
Fake answers will be reported
Pls make the answer simple and understandable
The legs of similar triangles are used to set a proportion of heights and shadows of the tall objects in order to find the value of unknown measure.
The expression 9.00x+4.50y represents the total amount of money Harriet earns at her two jobs, where x represents the number of hours worked at job X and y represents the number of hours worked at job Y. Which shows an equivalent expression to the given expression and correctly describes the situation?
4.50(2x+y), which shows that Harriet earns twice as much per hour at job X than job Y.
4.50(2x+y), which shows that Harriet earns 4.50 times as much per hour at job X than job Y.
13.50xy, which shows that Harriet earns $13.50 each hour she works.
13.50xy, which shows that Harriet earns $13.50 every two hours she works.
50 POINTS PLS HELP AND BRAINLIEST
Answer:
No
Step-by-step explanation:
Quarters Pennies
B1: 6. + 5=11
B2: 6. + 5=11
B3: 6. + 5=11
B1+B2 = 22
B1+B2+B3 = 33
So no
i dont think this deserves brainliest
ASAP HELP! Which angles are pairs of corresponding angles? Check all that apply.
4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.
Angle1 and Angle3
Angle2 and Angle14
Angle1 and Angle6
Angle3 and Angle7
Angle8 and Angle9
Angle5 and Angle12
Answer:
angle 2 and angle 14 angle 3 and angle 7Step-by-step explanation:
Assuming angles are numbered clockwise at each intersection before moving to the next intersection, corresponding angles will differ in their numbers by a factor of 4.
Among the offered choices, the differences of angle numbers are ...
2, 12, 5, 4, 1, 7
Of those pairs listed, angles 2 and 14, and angles 3 and 7 are corresponding angles.
The amount of a medicine, in milliliters, that a veterinarian prescribes is proportional to the weight, in kilograms, of a dog as shown on the graph.
What is the unit rate in milliliters per kilogram?
Enter your answer as a decimal in the box.
___ mL/kg
(graph in picture below) + brainliest/50 points