Answer:
a₂ = G(m₁ + m₂)/(R - √[G(m₁ + m₂)/a₁])²
Step-by-step explanation:
Since the gravitation force of attraction of the center of mass on m₁ equals the centripetal force, then
G(m₁ + m₂)m₁/R₁ = m₁a₁ where (m₁ + m₂) = total mass of the system and R₁ = distance of m₁ from the center of mass
So, G(m₁ + m₂)m₁/R₁² = m₁a₁
G(m₁ + m₂)m₁/m₁a₁ = R₁²
R₁² = G(m₁ + m₂)/a₁
R₁ = √[G(m₁ + m₂)/a₁]
The distance of m₂ from the center of mass is thus R₂ = R - R₁ = R - √[G(m₁ + m₂)/a₁] where R is the distance between the two stars.
Also, the gravitation force of attraction of the center of mass on m₂ equals the centripetal force, then
G(m₁ + m₂)m₂/R₂ = m₂a₂ where (m₁ + m₂) = total mass of the system and R₂ = distance of m₂ from the center of mass
So, G(m₁ + m₂)m₂/R₂² = m₂a₂
G(m₁ + m₂)m₂/m₂R₂² = a₂
a₂ = G(m₁ + m₂)/R₂²
Substituting R₂ into the equation, we have
a₂ = G(m₁ + m₂)/(R - √[G(m₁ + m₂)/a₁])²
Classify the number as natural, whole, integer, rational, and/or irrational. Select all terms that are correct. Natural Whole Integer Rational Irrational V7
Answer:
irrational is the only correct term because it's not a perfect Square
can someone pls help i dont get any help here anymore
yly 115°x X y = [? ]
Answer:
x = 65°
y = 25°
Step-by-step explanation:
x = 180-115 which equals 65°
y = 180-(90+65) which equals 25°
Which of the following is a Riemann Sum used to estimate?
area under a curve
height of a curve
steepness of a curve
curvature
Answer:
A. Area under a curve
Step-by-step explanation:
Edge 2021
Answer:
the correct answer is A. area under a curve
Step-by-step explanation:
correct on EDGE 2021
Unit test
Which relationships have the same constant of proportionality between y and x as the following table?
20
y
4
32
7
56
8 64
Choose 3 answers:
please help!
writing in terms of i
Given:
The term is [tex]\sqrt{-80}[/tex].
To find:
The simplified form of the given term in terms of i.
Solution:
We have,
[tex]\sqrt{-80}[/tex]
It can be written as:
[tex]\sqrt{-80}=\sqrt{80\times (-1)}[/tex]
[tex]\sqrt{-80}=\sqrt{80}\times \sqrt{-1}[/tex]
[tex]\sqrt{-80}=\sqrt{16\times 5}\times i[/tex] [tex][\because \sqrt{-1}=i][/tex]
On further simplification, we get
[tex]\sqrt{-80}=\sqrt{16}\times \sqrt{5}\times i[/tex]
[tex]\sqrt{-80}=4\times \sqrt{5}\times i[/tex]
[tex]\sqrt{-80}=4\sqrt{5}i[/tex]
Therefore, the required term is [tex]4\sqrt{5}i[/tex].
Find the surface area of the following figures.
with solution please. T-T
Answer:
I will do 1 2 3 and 5 for you:
Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.
There are 6 sides of a cube so,
5 x 5 = 25 area of one flat surface.
Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1
We need to find area of the two circles:
3(given radius)^2(radius being squared) x 3.14(pi)
3 x 3 = 9
9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)
28.26 x 2 = 56.52 (area of 2 circles)
Now we need to find the round surface, but first we need to find circumference:
2 x 3.14 x 3 = 18.84
18.84(circumference) x 5(height) = 94.2 (area of round surface)
Now lets add all the given areas to find surface area:
56.52 + 94.2 = 150.72 cm^2 is your answer for question 2
2 x 4 = 8
8 x 2 = 16
4 x 5 = 20
20 x 2 = 40
2 x 5 = 10
10 x 2 = 20
Add all given areas:
16 + 40 + 20 = 76 cm^2 is your answer for question 3
452.16 cm^2
4 x 3.14 x 6^2
4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4
8 x 4 = 32, 32 divided by 2 = 16
since there are 4 sides,
4 x 16 = 64
Don't forget the bottom!
4x 4 = 16
Lets add the given areas:
64 + 16 = 80 for question 5
la quinta parte de un numero aumentado a 5
an airplane travels at a constant speed of 460 miles per hour how far in miles will the airplane travel in 15 minutes
Answer:
115 miles
Step-by-step explanation:
Given that :
Speed of airplane = 460 miles per hour
Distance traveled in 15 minutes
Time = 15 minutes ; time in hours = 15 / 60 = 0.25 hours
Recall:
Distance = speed * time
Distance = 460 * 0.25
Distance = 115 miles
Pwease help i will give you brain thing if its correct ♡
Answer:
1. A, B, C, E
2.Im not sure I think A
hope this helps
have a good day :)
Step-by-step explanation:
In Greenville, the library is due south of the courthouse and due west of the community swimming pool. If the distance between the library and the courthouse is 7 kilometers and the distance between the courthouse and the city pool is 25 kilometers, how far is the library from the community pool?
Answer:
24 km
Step-by-step explanation:
this is a right triangle
use the pythagorean theorem
a² + b² = c²
a² + 7² = 25²
a² + 49 = 625
Subtract 49 from both sides
a² = 576
Take the square root of oth sides
a = 24
24 km
Isabella types 525 words in 5 minutes. What is Isabella's typing rate in words per minute?
WORTH 60 POINTS
Answer:
105 wpm
Step-by-step explanation:
Divide 525 by 5 and you have Isabella's typing rate in words per minute: 525
Hope this helps :)
Brainliest?
• metal, metal, metal, plastic, plastic, metal, plastic, plastic, plastic, plastic
.
a. Estimate the proportion of all students that prefer to use a metal pen. Make your thinking visible.
Answer:
The estimate of the proportion of all students that prefer to use a metal pen is 0.4.
Step-by-step explanation:
The estimate of the proportion is the sample proportion.
In the sample:
10 students
4 use a metal pen. So
[tex]p = \frac{4}{10} = 0.4[/tex]
The estimate of the proportion of all students that prefer to use a metal pen is 0.4.
Jaclyn has these belts in her closet.
• 4 leather belts
• 3 plastic belts
• 10 canvas belts
• 6 rubber belts
• 1 denim belt
Jaclyn will randomly choose a belt, put it back, and choose another belt. What is the
probability that she will choose a plastic belt and then a canvas belt? (Lesson 10)
F
13
24
H
5
96
G
5
16
J
25
Answer: 13/24
Step-by-step explanation:
Number of leather belts = 4
Number of plastic belts = 3
Number of canvas belts = 10
Number of rubber belts = 6
Number of denim belt = 1
Total belts = 24
The probability of choosing a plastic belt and then a canvas belt will be:
= P(plastic) + P(canvas)
= 3/24 + 10/24
= 13/24
Find the product of 2 numbers whose sum is 11 and difference is 3
Answer:
28
Step-by-step explanation:
x,y
X+y=11
X-y=3
x=y+3
y+3+y=11
2y=8
y=4
X=7
Xy=28
Answer:
7+4=11
7-4=3
7×4=28
Step-by-step explanation:
...................................
Please help, photo is attached. Thanks!
Plz help me well mark brainliest if correct......?
Answer:
It think it is A brainliest?
Step-by-step explanation:
A bake
sale committee wants to raise $186 for a donation to a local charity they set a size $12 of their profit at the end of each day how many days will it take them to raise enough money for the whole donation
Answer:
15 and a half days
Step-by-step explanation:
Since they earn $12's each day you would do $186 divided by $12 which would be 15.5 so it would take them 15 and a half days to raise $186.
Answer:
Sorry if this is late, but I hope you understand now.
Step-by-step explanation:
It's 16 days actually, if you divide 186 divided by 12, it's 15.5 we can say, that 5 should be rounded up or down. 15.5 is a fraction of 15/5 so if we rounded it, it would be 16. That's our newer version of rounding. 5 is higher, 4 is lower. Use that to help you :) I hope you understand even though it late
Tanya walks dogs. She earns $10.50 for each dog she walks. She wants to go to a
concert that costs $157.50. Write an equation relating the number of dogs she needs
to walk to the amount of money she earns. Find how many dogs Tanya needs to walk
to go to the concert. Let n be the number of dogs Tanya walks.
HELPPPPPP!!!!
Answer:
Tanya must walk 15 dogs
Step-by-step explanation:
10.50x=157.50
x=157.50/10.50
x=15
dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, represented by zero
Complete question :
dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.
Answer:
24.43 feets
Step-by-step explanation:
Using trigonometry :
Sinθ = opposite / hypotenus
Opposite = height, h
Hypotenus = 26
Sin 70° = h / 26
0.9396926 * 26 = h
height, h = 24.43 feets
The sine rule is the ratio of the height and hypotenuse. Then the height of the wall is 24.43 ft.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
Dion places a ladder against the side of his house as shown in the diagram below.
Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, represented by zero.
We have
Hypotenuse (H) = 26 ft
Let h be the height of the la
Then the height of the wall will be given by the sine rule.
[tex]\rm h = H sin \ \theta \\\\h = 26 * sin \ 70^o\\\\h = 24.43 \ ft[/tex]
The height of the wall is 24.43 ft.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
49 47 43 50 45 49 49 49 43 50 43 47 47 46 45 49 50 49 43 50 46 46 50 48 47 49 47 46 43 48 50 47 46 Calculate the standard deviation with your calculator. (Round to the nearest tenth)
Answer:
qw
Step-by-step explanation:
w
Answer:50
Step-by-step explanation:
Complete the dilation centered at A with a scale factor of 1/2.
Answer:
A'=(5/2,-5/2)
therefore A'(2.5,-2.5)
Step-by-step explanation:
no links Pwease help this is very important I will give you brain thing if its correct ♡
Answer:
B, C
Step-by-step explanation:
Explain how you use a net to find the surface area of a prism.
Answer:
Hello, Here is your answer.
Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.
Answer:
Step-by-step explanation:
By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.
17.
A quadrilateral has the following vertices on a coordinate plane:
Point J: (3-6)
Point K(-1,-6)
Point L:(-1,2)
Point M: (3, 2)
Enter the length of side JK.
units
Answer:
4
Step-by-step explanation:
substitute the given coordinates of J(3-6) and K(-1,-6) into the distance formula:
=> d = [tex]\sqrt{(-1-3)^{2} + (-6 + 6)^{2}}[/tex]
=> d = [tex]\sqrt{16 + 0}[/tex]
=> d = 4
A man drove a total round trip distance of 646.25 miles. His car used 12 gallons of gas in one direction and 11.5 on the return trip. What was his average mileage for the entire trip?
Answer: 27.5
Step-by-step explanation:
one of the nine questions
Answer:
TanA=8/15
SinA=8/17
CosA=15/17
Step-by-step explanation:
What is the slope of this line?
y=-12x + 1
Which expression is equivalent to 4x^-2+3x^-5?
A.7x^-7
B.12x^10
C.7
—
x^7
D.4x^3+3
————
x^5
E.4x^5+3
————
x^7
Answer:
7x^-7, that is the answer
A circle has a radius of 4 inches. What is
the circumference?
A.25.12 inches
B.12.56 inches
Answer:
4 x 3.14 x 2 = 25.12 inches
Step-by-step explanation:
Formula of circumference:
3.14(pi) x 2(the number is just always there when finding circumference) x radius(half of your diameter or just your given radius).
What is the area of the 3.1 by 1.4 rectangle?
Answer: 4.34
Step-by-step explanation: