Answer:
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Step-by-step explanation:
From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:
[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]
Thus, cross multiply to have;
[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]
then divide through by G[tex]M_{2}[/tex] to have,
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
how many true solutions are in x^2− 6x − 7 = 0
What is the answer to g(-9)
Answer:
-9g
Step-by-step explanation:
Move -9 to the left of g
I think this is right, sorry if it is wrong, have a great day
Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *
Answer:
40.00-30.98=x
What Is The Measure Of X?
Answer:
Its a:70 degrees..........
Answer:
60 degrees
Step-by-step explanation:
This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60
Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?
Answer:
[tex]Area = 287\ in^2[/tex]
Step-by-step explanation:
Given
[tex]Length = 20.5[/tex]
[tex]Space = 4.25[/tex]
[tex]Panels = 3[/tex]
See attachment
Required
The area of one panel
From the attachment, the total width is 50.5in.
i.e.
[tex]Total\ Width = 50.5[/tex]
Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.
The reduced width is:
[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]
[tex]Reduced\ Width = 42[/tex]
At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).
[tex]Width = \frac{42}{3}[/tex]
[tex]Width = 14[/tex]
The area of one is:
[tex]Area = Length * Width[/tex]
[tex]Area = 20.5 * 14[/tex]
[tex]Area = 287\ in^2[/tex]
help i’ll give brainliest if you give a correct answer
Answer:
48 drops
Step-by-step explanation:
32/8 = 4 x 12 = 48 drops
Answer:
48 drops
Step-by-step explanation:
you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.
Which would be the most appropriate way to estimate -6.1(0.22)
Answer: Answer is 1
Step-by-step explanation:
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams
Answer:
HELP ME!?
Step-by-step explanation:
I NEEED HELP PLEASE ANYONE!! With step by step answer
Answer:
x = 2
Step-by-step explanation:
Let me know if you have questions
Evaluate 7d, when d = 9 please!
Answer:
63
Step-by-step explanation:
When d=9, the equation should be 7 times 9 because you need to plug 9 in. Therefore, 7 times 9 is 63! I hope that helps!
hey its mathematics please and thank you
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.
Answer:
24
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices
There are different types of triangles. They include :
Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equalArea of a triangle = 1/2 x ( base x height)
1/2 x (6 x 8) = 24 ft²
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3
Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^2 h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]
Carly went for a walk and jog
• She started walking.
• After a few minutes, Carly began jogging at a faster speed than she was walking
• Carly got tired then slowed down to a slower speed than she was jogging
which graph best represents the distance Carly went?
Answer:
I believe D
Step-by-step explanation:
The reason is she starts off slowly but then keeps on gaining up and up.
in the figure below, lines m and n are parallel. What is the value of x?
Answer:
x = 51
Step-by-step explanation:
It looks like alt int. angles (correct me if im wrong)
3x - 40 = 2x + 11
x = 51
you rode a bicyde for 2 hours and travelled 43 km, calculate your average
speed.
Answer:
22.5km per hour
Step-by-step explanation:
What is the distance between points S and U if S is 2, 1 and U is 6, 8
Round to the nearest tenth of a unit.
A. 3.3 units
B. 6.4 units
C. 8.1 units
D. 12.0 units
The distance formula is:
D = sqrt((x2-x1)^2 + (y2-y1)^2)
D= sqrt ((6-2)^2 + (8-1)^2)
D = sqrt(4^2 + 7^2)
D = sqrt( 16 + 49)
D = sqrt(65)
D = 8.06
Rounded to the beat tenth = 8.1 units.
The answer is C. 8.1 units
Answer:
C
Step-by-step explanation:
S has coordinates (2 , 1) and U has coordinates (6, 8) . Computing the SU vector gives us (4 , 7)
taking the distance formula : sqrt(4^2 +7^2)
= sqrt(65) = 8.1 which is answer C
What will happen to a number, if it was added to its inverse?
Answer:
The word "inverse" in the question is ambiguous, since x usually has inverses under both addition and multiplication. ... If the question is asking about the additive inverse (opposite), then the sum is always 0 for any x . So the sum takes its maximum value for any x .
Step-by-step explanation:
Answer:
Zero
Step-by-step explananation:
An inverse is the opposite of another number, so if you add them together it would equal zero.
Here are a few examples.
5+-5=0
9+-9=0
150+-150=0
-220+220=0
-476+476=0
The inverse is simply the originall number, but on the opposite side of the number line. Meaning you add or take away the negative sign, depending on the original number.
Hope I explained well:)
Pls Help!!!!! I will pick the brainiest answer as well. ;)
Answer:
49
Step-by-step explanation:
20+4=24 24+25=49
Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain
Answer:
Yes
Step-by-step explanation:
Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]
This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.
Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.
Help ASAP! use the second image attached to answer!
Answer:
only the circle graph
Step-by-step explanation:
Answer:
Only the graph
Step-by-step explanation:
Im not an expert or anything but the chart only shows numbers, which aren't useful, but the circle shows, under the 80-89, 44.4%, which is the useful one. hope that helps you
Write down two facts of advice that you can give to other learners who would
want to engage in a fundraising activity.
what is the gcf (greatest common factor) of 9/45
Answer:
9: 1,3,9
45: 1, 3, 5, 9, 15, and 45
Step-by-step explanation:
So the gcf is 9
Answer:
9GCF of 9 and 45 is 9Step-by-step explanation:
The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0
We can find the GCF of 9 and 45 by the following methods.
GCF of 9 and 45 by Listing the Common Factors Method
GCF of 9 and 45 by Prime Factorization Method
4) Ari can swim 2 laps per minute. Which equation represents the number of laps,
n, that Ari travels in m minutes?
a n = 2m
b. m = 2n
c. n = 2 +m
d. n = 2 divided by m
He wants to wrap the present. How much wrapping paper does he need if it’s 1:00 in the afternoon and he wants to give it to her at 5:00pm?
Someone help me ASAP !
Answer:
31
Step-by-step explanation:
Can someone help me with this it’s timed !!!
Answer:
c
Step-by-step explanation:
Answer:
1. A
2. Missouri Compromise
3. Abolition
Step-by-step explanation:
The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.
a Find the possible values of k.
b For each of these values of k, find the coordinates of the point of contact
of the tangent with the curve.
The segments shown below could form a triangle.
A. True
B. False