Answer:
380 days
Step-by-step explanation:
Problem in post:
The radius of the orbit of the planet is 59,000,000 km.
The orbit is circular, so the length of the orbit is the circumference of a circle with radius 59,000,000 km.
distance = circumference of orbit = 2(pi)r = 2 * 3.14159 * 59,000,000 km = 370,707,933 km
speed = 41,000 km/h
speed = distance/time
time * speed = distance
time = distance/speed
time = (370,707,933 km)/(41,000 km/h) = 9,042 hours
Now we convert hours into earth days.
1 earth day = 24 hours
9,042 hours * (1 day)/(24 hours) = 376.73 days
Answer: 380 days
Problem in comments:
Nina and Jo both ran an 8 km race.
Nina took 45 minutes to run the whole race.
Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Solution:
They met at 5 km. Let's find out how long it took Nina to run 5 km.
We can use a proportion.
(8 km)/(45 min) = (5 km)/(x)
x * 8 km = 45 min * 5 km
x = [(45 * 5)/8] min
x = 28.125 min
They met after Nina was running for 28.125 minutes.
Jo started 4 minutes after Nina, so Jo ran for 4 minutes less than Nina. Jo ran 5 km in 24.125 minutes.
speed = distance/time
speed = (5 km)/(24.125 min) * (60 min)/(1 hr)
speed = 12.43523 km/h
Answer: Jo's speed is 12.44 km/h
PLS HELP MY HOMEWORK IS DUE SOON
Answer:
Seems like a personal issue
Step-by-step explanation:
Hint: Use your Brain!
Simplify.
0
10
3
(2.8 + 1.2)
6
NEED THE ANSWER NOW!!!
Answer:
Step-by-step explanation:
Find the volume of this problem
Answer:
Step-by-step explanation:
diameter = 6 in
r = 6/2 = 3 in
h = 11 in
Volume of cylinder = πr²h
= 3.14*3*3*11
= 310.86 in³
For every 4 hours of babysitting, Sam charges $30. If last month she earned $75, how many hours did she babysit ?
Answer:
10
Step-by-step explanation:
PLEASE HELP THIS IS URGENT I AM BEING TIMED!!
Given the following list of data, is 9 the mean, the median, or the mode?
2, 7, 9, 8, 9, 4, 6
Answer:
The mode (number with the highest frequency or number with most appearance)
Answer:
Mode
Step-by-step explanation:
The number that occurs the most is 9.
Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism
Answer:
Option B. Pentagonal prism
Step-by-step explanation:
Option (A). Cube
Base of a cube is a square.
Option (B). Pentagonal prism
A prism is always defined by its base.
Example: triangular prism, rectangular prism
Therefore, pentagonal prism will have a base in the shape of a pentagon.
Option (C). Triangular prism
Triangular prism will have a triangular base.
Option (D). Rectangular prism
Rectangular prism will have a rectangular base.
∠1 and ∠2 are supplementary. If m∠1 = (3x - 17)° and m∠2 = (5x + 21)°. Find the value of x.
Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 {supplementary}
3x - 17 + 5x + 21 = 180
Add the like terms
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Answer:
x = 22
Step-by-step explanation:
Supplementary angles add to 180
<1+ <2 =180
(3x - 17) + (5x + 21) = 180
Combine like terms
8x +4 = 180
Subtract 4 from each side
8x +4-4 = 180-4
8x = 176
Divide each side by 8
8x/8 = 176/8
x = 22
In Circle S with MRST=118 and RS=8 units, find the length of arc RT. Round to the nearest hundredth
Answer:
RT ≈ 16.48 units
Step-by-step explanation:
The measure of arc RT is calculated as
RT = circumference of circle × fraction of circle
= 2πr × [tex]\frac{118}{360}[/tex]
= 2π × 8 × [tex]\frac{118}{360}[/tex]
= 16π × [tex]\frac{118}{360}[/tex] ≈ 16.48 ( to the nearest hundredth )
The length of the arc RT is 8.23 units.
What are the properties of an arc?The characteristics of a circle's arc are:
Measured in linear measures like centimetres, inches, or metres, the arc length is the distance along the arc. It is proportionate to the angle that the arc and circle's centre make.The arc measure, which is expressed in degrees or radians, is the magnitude of the angle that is produced between the centre of the circle and the arc. It varies in accordance with the arc length.Since angle RST is 118 degrees, it subtends 118/360 = 0.3278 (rounded to four decimal places) of the full circumference of the circle. Therefore, the length of arc RT is:
length of arc RT = (0.3278) * (2 * π * radius)
where the radius is half the length of RS. Since RS is given as 8 units, the radius is 4 units. Substituting this into the formula, we get:
length of arc RT = (0.3278) * (2 * π* 4) = 2.0684 * π
Rounding to the nearest hundredth, we get:
length of arc RT ≈ 8.23 units.
Learn more about arc here:
https://brainly.com/question/18741430
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is the dilation en enlargement or a reduction? what is the scale factor of the dilation?
Answer:
The dilation is an enlargement, and the scale factor is 2. So, the answer is B.
Step-by-step explanation:
The dilation is an enlargement, and the scale factor is 2.
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
The image of the object undergoing transformation is given.
From the attached object, we se that CP = 4.
Also CP' = 8
Thus; Scale factor is 8/4 = 2
Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.
Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.
The scale factor of the given dilation is; 2 and the dilation is a enlargement.
Read more about Transformations at;
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What is the slope of the line that goes through the points (1,5) and (4,1)
Answer:
[tex] - \frac{4}{3} [/tex]
Step-by-step explanation:
gradient formula:
[tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of the line
[tex] = \frac{5 - 1}{1 - 4} \\ = - \frac{4}{3} [/tex]
Slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].
What is slope?" Slope is defined as the ratio of difference of the increase in y- coordinates to the difference of increase in x- coordinates."
Formula used
Two coordinates on line
[tex]( x_{1} ,y_{1})\\\\(x_{2}, y_{2})[/tex]
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
According to the question,
Given,
Point on the line
[tex]( x_{1} ,y_{1})= ( 1,5)\\\\(x_{2}, y_{2})= ( 4,1)[/tex]
Substitute the value to get the slope of the line,
Slope = [tex]\frac{1-5}{4-1 }[/tex]
= [tex]\frac{-4}{3}[/tex]
Hence, slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].
Learn more about slope here
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Leticia is cutting a board to make a ramp for her skateboard. The ramp will slope from the ground up to a height of 4 feet. The board will make an angle of 25° with the ground. How long should she cut the board for her ramp? *
1 point
9.46 feet long
4.41 feet long
8.58 feet long
10 feet long
Answer:
Correct option: first one -> 9.46 feet long
Step-by-step explanation:
To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.
The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:
sin(25°) = height / length
0.4226 = 4 / length
length = 4 / 0.4226
length = 9.4652 feet
So the length of the board should be 9.46 feet (correct option: first one)
Solve & Share
Evaluate the expression 3+ (6 – 2) X 4.
Solve this problem using the order of operations.
3 + (6 – 2) X 4
Answer:
[tex]19[/tex]
Step-by-step explanation:
[tex]3 + (6 -2) \times 4[/tex]
[tex]3 + (4) \times 4[/tex]
[tex]3 + 16[/tex]
[tex]=19[/tex]
Answer:
19
Step-by-step explanation:
use the other of operations
PLEASE HELP ME OUT. THIS IS DUE TODAY.
Answer:
Round up because it is necessary to count the extra decimal payment as another payment. You can't round down because then it wouldn't all be paid off.
How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three
Answer:
2
Step-by-step explanation:
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far
How many dimensions does a plane have?
● Α. Two
O B. Zero
O C. One
O D. Three
Simplify: (–2x+y)(-58 y)
O 10x10,
10xv2
10xy
10x10 ,
Answer:
Choice C
Step-by-step explanation:
[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]
Hope this helps!
Answer:
10x7 y 4
Step-by-step explanation:
i just answered it
11) Omar is flying a kite on a 50-foot string at a diagonal distance. The kite gets stuck at the top
of a 40-foot tree. How far is Omar from the tree?
Answer:
30 ft
Step-by-step explanation:
We have a right triangle.
Hypotenuse = c = 50 ft
Leg #1 = a = 40 ft
Leg#2 = b = ?
We need to use Pythagorean Theorem
c² = a² + b²
50² = 40² + b²
b² = 2500 -1600 = 900
b = 30
Twin brothers need help can anybody help them?
Answer:
210 cm^2
Step-by-step explanation:
3x-1 + 4x+1 + 3x = 70
10x = 70
x = 7
Now, Area of the triangle is 1/2 * b * h
therefore,
1/2 * 3x * 3x-1
1/2 * (3*7) * (3*7 -1)
1/2 * 21 * 20
21 * 10
210
210 is the area!
Hope this helps! mark as brainliest if helped! thanks!
210 cm^2
3x-1 + 4x+1 + 3x = 70
Simplify
10x = 70
divide by 10
x = 7
So,
1/2 * 3x * 3x-1
1/2 * (3*7) * (3*7 -1)
1/2 * 21 * 20
21 * 10
210 would be your final answer
Step-by-step explanation:
Answer plz!
Which choices are equivalent to the expression below? Check all that apply.
The right options are:
Option A
Option B
Option C
Please see the attached picture.
hope it helps
Good luck on your assignment..
A car travels on a highway at a constant speed of 67 miles per hour. Which equation and table shows the correct relationship between , the number of hours, and , the distance traveled
Answer:
distance ÷ 67 = how many hours took to ride that much
you can use a normal table that looks like the ones on google when you search up "tables in math"
I'm sorry for this short answer! I'm in a rush but I hope this helped!
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x - 4)2 + 6
g(x) = (x + 6)2 - 4
g(x) = (x - 6)2 - 4
g(x) = (x + 4)2 + 6
Answer:
D. g(x) = (x + 4)2 + 6
Step-by-step explanation:
I just took the test and this was the correct answer
Please help this is urgent and I am being timed
A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
ball's acceleration?
Answer:
35.71m/s²
Step-by-step explanation:
using the formula force(F)=mass(m)×acceleration(a)
a =
[tex] \frac{f}{m} [/tex]
F=15.0N
m=0.42kg
a=?
a=15÷0.42
a=35.71m/s²
Answer:
C
Step-by-step explanation:
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C
Step-by-step explanation:
5 lemons for $2.00
1 lemon is for 2/5=$0.40
Answer:
The answer is option C) $0.40
Step-by-step explanation:
Cost of 5 lemons= $2.00
cost of 1 lemon= 2.00/5
= 0.40
therefore $0.40 is the unit cost of each lemon in the bag.
Hope this helped you.
10 Points!!!
Which expression equals the fraction of the square that is shaded dark blue?
Answer:3/8
Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.
Answer:
1/2 * 3/4
Step-by-step explanation:
The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 9.54 11.00 24.00
Answer:
Step-by-step explanation:
Hypotenuse^2=3^2+8^2
Hypotenuse^2=9+64=73
Hypotenuse =square root of 73
Hypptenuse =8.54
Answer:
8.54
Step-by-step explanation:
I took a test
The tip of a pendulum moves through an angle of 0.38 radians. If the radius of the pendulum is 25
centimeters, then which of the following is the length of the arc the tip moves through?
(1) 4.7
(3) 7.8
(2) 6.1
(4) 9.5
Answer:
The length of arc 'l' = 9.5
Step-by-step explanation:
Explanation:-
Given radius of the pendulum r = 25
The tip of a pendulum moves through an angle of 0.38 radians
θ = 0.38 radians
The length of arc 'l' = rθ
'l' = (25)(0.38)
The length of arc 'l' = 9.5
What is 2 less than a number
Answer:
2<x
Step-by-step explanation:
less than x
Answer:
n-2
Step-by-step explanation:
lets put the variable N to mean the "number"
Subtraction is used to take away a certain amount, so 2 less than is that certain number subtracted 2
which can be written as n-2
the length of segment TQ= 29. explain how to find the length of segment QV. make sure to put the sentence in this form. statement then the because.
helpppp ):
Answer:
Length of segment QV = 35 units
Step-by-step explanation:
As shown in the figure attached,
Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,
"There are two pairs of the sides which are equal in measure."
Therefore, TS ≅ TQ and SV ≅QV
Since TS ≅ TQ,
3x + 2 = 29 [Given: TQ = 29 units]
3x = 29 - 2
3x = 27
x = 9
Another pair of the consecutive sides is,
SV ≅ QV ≅ (4x - 1)
By substituting the value of x,
QV = (4 × 9) - 1
= 36 - 1
= 35 units
Therefore, length of segment QV = 35 units
Pls help I’ve already tried 3/11 but it says it wrong
Answer:
12
Step-by-step explanation:
Alr so correct me if I'm wrong but I think you made a mistake. It says find 44 of those rectangles. You found just 1 in that case which the area is 3/11. You have to do 3/11 X 44 which is
3/11 x 44/1 = 132/11 = 12.
As I said, correct me if I'm wrong.
Hope this Helps!
How many solutions does the system of nonlinear equations graphed below
have?
Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.
Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.
Step-by-step explanation:
Answer:
You Should see 4 Points
Step-by-step explanation:
