What is the distance to the earth’s horizon from point P?
Express your answer as a decimal
Answers
Answer:
The distance to the earth's horizon from point P is 216.2198187 mi, appriximately 216.22 mi
Step-by-step explanation:
This is a right triangle:
Hypotenuse: c=3959 mi + 5.9 mi → c=3964.9 mi
Leg 1: a=x=?
Leg 2: b=3959 mi
Using the Pytagorean theorem:
a^2+b^2=c^2
Replacing the known values:
(x)^2+(3959 mi)^2=(3964.9 mi)^2
Solving for x: Squaring:
x^2+15,673,681 mi^2=15,720,432.01 mi^2
Subtracting 15,673,681 mi^2 both sides of the equation:
x^2+15,673,681 mi^2-15,673,681 mi^2=15,720,432.01 mi^2-15,673,681 mi^2
x^2=46,751.01 mi^2
Square root both sides of the equation:
sqrt(x^2)=sqrt(46,751.01 mi^2)
x=216.2198187 mi
x=216.22 mi
The distance from the point P to the Earth’s horizon distance is approximately 216.22 mi.
To find the distance from the point P to the earth's horizon, we can use the concept of the earth's curvature.
The distance from the center of the earth to point P is the radius of the earth plus the distance from the center to the surface, which is 3959 + 3964.9 = 7923.9 miles.
The distance to the horizon can be found using the formula for the horizon distance, which is approximately equal to the square root of two times the product of the earth's radius and the total distance from P to the surface of the earth.
So, x = sqrt(2 * 3959 * 7923.9) = 216.22 mi.
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The probable question may be:
In the Earth center the radius of the earth is 3959 mi
P is a point outside the circle
the distance from center of the earth surface to point P is 3964.9 mi and the distance to the earth’s horizon from point P is x ?
Find x
Related Questions
help!!
1.does y vary directly with x? If it does, write an equation for the direct variation.
x|y
−3|2.25
1 |−0.75
4 |−3
Answers
Answer:
y = -.75 x
Step-by-step explanation:
To determine if y varies directly with x, we look at y/x and see if it is a constant
y/x = 2.25/-3 = -.75
= -.75/1 = -.75
=-3/4 = -.75
Since it is a constant, it has direct variation. The constant of variation is -.75
y = -.75 x
Tickets to a show cost different for seniors, children, and adults. Adult tickets are twice as much as senior tickets. Two senior tickets plus one children's ticket cost $17. Two children tickets plus one adult ticket cost $24. How much does one senior ticket cost? A) $5 B) $7 C) $9 D) $10
Answers
Answer:
The senior's ticket cost is A, $5.
Step-by-step explanation:
say a children's ticket was $7; 7 + 7 + 14
so if an adult ticket is twice as much, let's say it was $10 per adult ticket.
one adult ticket plus two children's tickets would be $24 with these numbers.
two seniors ($5) + one children's ticket ($7) would be $17
therefore, we can conclude that a senior's ticket would cost $5
13. Find a cubic function with the given zeros. 7, -3, 2
Answers
[tex]\bf \begin{cases} x=7\implies &x-7=0\\ x=-3\implies &x+3=0\\ x=2\implies &x-2=0 \end{cases}~\hspace{7em}(x-7)(x+3)(x-2)=\stackrel{y}{0} \\\\\\ (x^2-4x-21)(x-2)=y \\\\\\ x^3-4x^2-21x-2x^2+8x+42=y\implies x^3-6x^2-13x+42=y[/tex]
As a membership fee a health club charges a one-time amount of $40 in charges $25 for each month the total fee after M months is $240 what is the value of M
Answers
25M = 200
M = 8
8 months
The equation for this problem is x=25(m)+40
If the value of x=240, then the value of m=8.
What is the growth factor of the following example? Assume time is measured in the units given.
Water usage is increasing by 3% per year.
Answers
Answer: Growth factor is 1.03 per year.
Correct option is C option.
Step-by-step explanation:
Given that water usage is increasing by 3% per year.
Time is measured in the years as given.
We need to find the growth factor for 3% increase per year.
We know a percent can be written decimal form by dividing by 100.
Therefore, 3% could be written as 3/100 = 0.03.
But the water usage would be increase by the factor of 1+0.03 that is 1.03.
Therefore, growth factor of increase in water usage would be 1.03.The triangles are similar. The area of the larger triangle is 200 cm².
What is the area of the smaller triangle?
12.5 cm²
50 cm²
100 cm²
200 cm²
Answers
Answer:
The correct answer option is 12.5 cm[tex]^2[/tex].
Step-by-step explanation:
We are given two triangles that are similar with one of the corresponding sides with known values.
The ratio of the corresponding sides of the smaller triangle to the larger triangle is [tex]\frac{16}{64} =\frac{1}{4}[/tex]. So the ratio between the areas of these triangles will be [tex]\frac{1}{4^2} =\frac{1}{16}[/tex].
If the area of the larger triangle is 200 cm[tex]^{2}[/tex] then the area of the smaller triangle will be = [tex]\frac{1}{16} *200=12.5[/tex].
Therefore, the area of the smaller triangle is 12.25 cm[tex]^2[/tex].
Formula to find Area of a triangle is
A=(height×base)/2
base of bigger triangle is=64cm^2
base of smaller triangle is=16cm^2
Area of bigger triangle is =200cmCm^2
area of smaller triangle=?
we imagine
height = base
then area of bigger trianglewillbe=64*64/2=2048
and area of smallertriangle will be=16*16/2==128
but we are given thatarea of bigger triangle is 200
when we divide 2048/10
it approximately gives 200
similarly when we divide 128/10
it approximately gives 12.5cm^2
hence area of smaller triangle is 12.5cm^2
Find a parametric representation for the surface. The part of the sphere x2 + y2 + z2 = 144 that lies between the planes z = â’6 and z = 6. (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of θ and/or Ď•.) (where â’6 < z < 6)
Answers
The parametric equations that represent the sphere surface between the planes z=±6 are x = 12*sin(θ)*cos(φ), y = 12*sin(θ)*sin(φ), and z = 12*cos(θ), with θ and φ being between π/3 and 2π/3, and 0 and 2π respectively.
Explanation:This question involves a mathematical concept known as parametric representation of a surface, specializing in spheres and planes. In a 3D coordinate system, the equation of a sphere is given by x² + y² + z² = r² where r is the radius of the sphere, but we restrict the z variable to lie in a certain range, which is between -6 and 6 in this situation.
To represent the sphere in parametric form, we often use spherical coordinates. The relationships between Cartesian coordinates and spherical coordinates are as follows: x = r*sin(θ)*cos(φ), y = r*sin(θ)*sin(φ), z = r*cos(θ). Here r = √144 =12, is the radius of the sphere.
Given the restrictions z = ±6, we have cos(θ) = ±6/12 = ±1/2, or θ = π/3 and 2π/3. So, the spherical coordinates range within 0 <= φ <= 2π and π/3 <= θ <= 2π/3.
This gives the parameters of the restricted surface in terms of θ and φ those are as follows: x = 12*sin(θ)*cos(φ), y = 12*sin(θ)*sin(φ), and z = 12*cos(θ).
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The parametric equations which represent the part of the sphere x² + y² + z² = 144 that lies between the planes z = -6 and z = 6 are: x = 12*sin(θ)*cos(Ď•), y = 12*sin(θ)*sin(Ď•), z = 12*cos(θ), with 60° ≤ θ ≤120° and 0° ≤ Ď• ≤ 360°.
Explanation:The question asks for a parametric representation of part of a sphere lying between two planes. The given sphere equation is x² + y² + z² = 144, and the two planes are defined by z = -6 and z = 6. This is a common problem in multivariable calculus, and we solve it using spherical coordinates. In spherical coordinates, x= r*sin(θ)*cos(Ď•), y= r*sin(θ)*sin(Ď•) and z= r*cos(θ) where r is the radius, θ is the inclination angle, and Ď• is the azimuthal angle. For the given sphere, r = √144 = 12.
The bounds for z adds constraints to our inclination angle θ. Given -6 ≤ z ≤ 6, we determine corresponding bounds on θ. For z = r*cos(θ), we have -6 ≤ 12cos(θ) ≤ 6, or -1/2 ≤ cos(θ) ≤ 1/2. This yields θ values between 60° and 120°. The parametric equations describing the part of the sphere between the planes z = -6 and z = 6 are:
x = 12*sin(θ)*cos(Ď•)
y = 12*sin(θ)*sin(Ď•)
z = 12*cos(θ)
where 60° ≤ θ ≤120° and 0° ≤ Ď• ≤ 360°.
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Pls help! Urgent! Brainliest promised!
The triangles below are similar.
Which similarity statements describe the relationship between the two triangles?
CHECK ALL THAT APPLY!!!!!!
Answers
Answer: choices B, C, D and E
B) triangle RSP is similar to triangle ZXY
C) triangle SRP is similar to triangle XZY
D) triangle PSR is similar to triangle YXZ
E) triangle RPS is similar to triangle ZYX
In short, the answers is nearly everything but the first and last answer choice
================================================
For the first triangle, angle S is 54 degrees. In the other triangle, angle X is also 54 degrees. This means that the two angles correspond as they are equal to one another. The answer will have the letters S and X show up in the same position, whether that position is the first, second or third place of the three letter sequence.
Choice A is not one of the answers. RPS ~ XYZ is false because of what I mentioned above. We see that S is shown last in RPS while X is shown first in XYZ. The letters S and X do not correspond together, so we can cross choice A off the list.
Choice B is one of the answers because we have R corresponding to Z (first letters of each sequence RSP and ZXY; both are 41 degrees) and we have S correspond to X, and we have P correspond to Y (both the same measure as well)
Choice C is another answer for similar reasons as choice B. The only difference is that R and S have swapped, so have X and Z. The order is important or else things wouldn't line up properly.
Choice D is another answer. Again we have the same correspondence of P to Y (both in the first slot), S to X (second slot), and R to Z (third slot). For each slot, the pair of angles are both the same measure.
Choice E is another answer. Similar reasons as before, just a different order.
Choice F is not one of the answers. We see that P and Z occupy the second slots, but they aren't congruent angles.
Answer:
2,3,4,5 u-u welcome child
Step-by-step explanation:
Small balloons cost 95 cents each and large balloons cost $1.45 each.
Let x represent the number of small balloons
Let y represent the number of large balloons
Shelby has $15 to spend on balloons
She needs at least 3 large balloons.
0.95x+1.45y≥15
0.95x+1.45y≤15
y≥3
y≤3
x≥0
Answers
In this problem, it is determined that Shelby can buy up to 11 small balloons and at least 3 large balloons with her $15 budget. Seven distinct combinations of small (x) and large (y) balloons are possible given the constraints x ≤ 11, y ≥ 3, and the total cost not exceeding $15.
Explanation:Based on the information provided, we're dealing with inequalities and trying to determine how many small and large balloons Shelby can purchase with a budget of $15. Since Shelby needs at least 3 large balloons, we know y ≥ 3. Considering the remaining money for the small balloons, and given that small balloons cost $0.95, the maximum number (x) can be obtained by subtracting the cost for 3 large balloons from the total budget and dividing the remainder by the cost of a small balloon. Let's calculate it: $15 - $4.35 ($1.45 x 3 for large balloons) = $10.65. Then, $10.65 / $0.95 ≈ 11. Thus, x ≤ 11.
The outcome of the calculations thus suggests the possible pairs (x,y) for purchasing balloons are in such a way that Shelby can purchase up to 11 small balloons and needs at least 3 large balloons. Hence, 0.95x + 1.45y ≤ 15, with the constraints x ≤ 11 and y ≥ 3. Seven distinct combinations of small (x) and large (y) balloons are possible given these restrictions.
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Points A and B on the coordinate grid below show the positions of two midfield players of a soccer team: Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point A is located 1 unit to the left and 3.5 units down. From the origin, point B is located 1 unit to the right and 3.5 units down. Which statement best describes the relationship between the positions of the two midfield players? B is A reflected across the y-axis; only the signs of the x-coordinates of A and B are different. B is A reflected across the y-axis; only the signs of the y-coordinates of A and B are different. B is A reflected across the x-axis; only the signs of the x-coordinates of A and B are different. B is A reflected across the x-axis; only the signs of the y-coordinates of A and B are different.
Answers
Answer:
Point B is Point A reflected across the y-axis.
Step-by-step explanation:
Answer:
B is A reflected across the y-axis; only the signs of the x-coordinates of A and B are different.
Step-by-step explanation:
When a point is reflected across the y-axis, the x-coordinate of the point is negated. Algebraically,
(x, y)→(-x, y)
Point A is located at (-1, -3.5) and point B is located at (1, -3.5). The only difference between the two points is that the x-coordinate is negated; this means it is a reflection through the y-axis.
A fruit stand has to decide what to charge for their produce. They need \$10$10 for 44 apples and 44 oranges. They also need \$12$12 for 66 apples and 66 oranges. We put this information into a system of linear equations. Can we find a unique price for an apple and an orange?
Answers
Answer: No, we can't find a unique price for an apple and an orange.
Step-by-step explanation:
Since we have given that
Cost of 4 apples and 4 oranges = $10
Cost of 6 apples and 6 oranges = $12
We need to find the unique price for an apple and an orange.
According to question, our equations will be
[tex]4x+4y=\$10\\\\6x+6y=\$12[/tex]
since it is equation of parallel lines, as
[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}\\\\\frac{4}{4}=\frac{6}{6}\neq \frac{10}{12}[/tex]
Hence, No, we can't find a unique price for an apple and an orange.
An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:
a. chocolate chosen
b. strawberry chosen
c. vanilla chosen
d. ice cream on a cone
e. ice cream in a cup
Find the probability that the ice cream was sold on a cone and was strawberry flavor
Answers
Answer:
Step-by-step explanation:
Sales of the chocolate ice cream is 45%, 30% for strawberry and 25% (100%-45%-30%) of vanilla.
Percentages of cone sales for chocolate, strawberry and vanilla are 75%, 60% and 40%respectively.
A. Probability chocolate chosen: 45%=0.45
B. Probability strawberry chosen: 30%=0.30
C. Probability vanilla chosen:25%=0.25
D. Probability ice cream on a cone: 75%×45%+60%×30%+40%×25%
=0.75×0.45+0.60×0.30+0.40×0.25
=0.3375+0.18+0.1
=0.6175
E. Probability ice cream in a cup: 1- Probability ice cream in a cone
=1-0.6175
=0.3825
Probability that the ice cream sold on a cone and was strawberry flavoured is : 30%×60%
=0.30×0.60
=0.18
Answer: 0.18.
Step-by-step explanation: Let us define the following events
A= event that chocolate chosen,
B=event that strawberry chosen,
C=event that vanilla chosen,
D=event of choosing ice-cream on a cone
and
E=event of choosing ice-cream on a cup.
Then, according to the given information, we have
P(A)=0.45, P(B)=0.30, P(C)=0.25, P(A\D)=0.75, P(B\D)=0.60 and P(C\D)=0.40.
Therefore, the probability that the ice-cream was sold on a cone and was strawberry flavour is given by
[tex]P(B\cap D)=P(B)\times 0.60\\\Rightarrow P(B\cap D)=0.30\times 0.60\\\Rightarrow P(B\cap D)=0.18.[/tex]
Thus, the required probability is 0.18.
If 30 gumballs can be purchased for 3 dollars, write a function that represents the cost in cents of ‘d' dozen gumballs.
Answers
Answer:
The function that represents the cost in cents of ‘d' dozen gumballs is y = 10d .
Step-by-step explanation:
As given
If 30 gumballs can be purchased for 3 dollars .
i.e
30 gumballs = $3
Now find out the cost of one gumballs .
[tex]1\ gumballs = \$ \frac{3}{30}[/tex]
[tex]1\ gumballs = \$ \frac{1}{10}[/tex]
[tex]1\ gumballs = \$\ 0.1[/tex]
As 1 dollar = 100 cents
[tex]1\ gumballs = 0.1\times 100\ cents[/tex]
[tex]1\ gumballs = \frac{1\times 100}{10} \ cents[/tex]
1 gumballs = 10 cents
Thus the cost of one gumball is 10 cents .
As d = dozen gumballs.
Let us assume that the cost for ‘d' dozen gumballs = y
Than the function becomes
y = 10d
Therefore the function that represents the cost in cents of ‘d' dozen gumballs is y = 10d .
If William has 5 different shirts and 7 different pairs of pants, how many different combinations could he wear?
Answers
The question is asking how many different outfit combinations William can form if he has 5 shirts and 7 pants. It's a simple multiplication of the two numbers (5*7) resulting in 35 different combinations. Therefore, William could wear a different outfit for 35 days without repeating.
Explanation:The subject of this question is combinatorics, a branch of mathematics concerned with counting, both as a means and an end. In this specific context, we are looking at the number of different combinations that William can wear with the clothes he has. Since each shirt can be worn with any pair of pants, this translates into a simple product calculation.
William has 5 different shirts and 7 different pairs of pants. So, the total number of combinations of outfits he can put together is calculated by multiplying these numbers together. Hence, 5 shirts * 7 pants = 35 combinations.
This means that if William chooses a different combination each day, he could go for 35 days without wearing the same outfit twice.
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check my answer?
what are the real and imaginary parts of the complex number?
-7+8i
the real part :: -7 ( my answer )
the imaginary part :: 8i ( my answer )
Answers
Answer:
The real part is -7
The imaginary part 8i
Step-by-step explanation:
A complex number is in the from a +bi
The real part is a and the imaginary part is bi
-7+8i
The real part is -7
The imaginary part 8i
Someone plz help!!!!!!!!
The table shows different geologic time periods:
Period Number of Years Ago
Jurassic 2.08 ⋅ 10^8
Silurian 4.38 ⋅ 10^8
Tertiary 6.64 ⋅ 10^7
Triassic 2.45 ⋅ 10^8
Order the time periods from oldest to youngest.
A. Tertiary, Jurassic, Triassic, Silurian
B. Jurassic, Triassic, Silurian, Tertiary
C. Silurian, Triassic, Jurassic, Tertiary
D. Triassic, Silurian, Jurassic, Tertiary
Answers
Kellyanne bought a pair of shoes that cost $98.00. Sales tax on the shoes was 7.5%. What was the total cost of the shoes including tax?
Answers
Answer:
105.35
Step-by-step explanation:
:)
Meliza has 43 toys soldiers , she line them up 5 to fight imaginary zombies . How many of these row can she make? After making as many as two of 5 as she can , she put the remaining soldiers in the last row. How many soldiers are in that row
Answers
Answer:
A. 8 rows.
B. 3 toy soldiers.
Step-by-step explanation:
We are told that Meliza has 43 toys soldiers, she line them up 5 to fight imaginary zombies .
A. Let us find the greatest multiple of 5 from 43.
Multiples of 5 are: 5,10, 15, 20, 25, 30, 35, 40, 45,..
We can see the greatest multiple of 5 from 43 is 40.
Let us divide 40 by 5 to find the number of rows that Meliza can make.
[tex]\text{Number of rows with 5 soldiers in each row}=\frac{40}{5}=8[/tex]
Therefore, Meliza can make 8 rows of 5 from 43 toy soldiers.
B. To find the number of soldier in last row we will subtract 40 from 43.
[tex]\text{Number of toy soldier in last row}=43-40=3[/tex]
Therefore, the number of toy soldiers in last row will be 3 soldiers.
The arrow at the maze entrance indicates that the robot will be heading east when it enters the maze. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. At the start of the maze, what is the value of d?
Answers
Answer:
d=1
Step-by-step explanation:
If North is i and South is -i
East is 1 and West is -1
The robot is facing East as it enters the maze, it will have a starting value of 1
Answer:
The value of d at the start of the maze will be 1 because 1 represents East .
Which points lie on more than one plane? M and R A and S X and Y M and S
Answers
Answer:
Points X and Y lie on more than one plane.
Step-by-step explanation:
From the figure attached we have to find the points which lie on more than one plane.
M and R :
These are the points which lie on only one plane painted in yellow color.
A and S
These points lie on a plane perpendicular to the plane painted in yellow color.
X and Y :
These points lie on both the planes, painted in yellow color and the plane perpendicular to this.
M and S :
Point M lies on a plane in yellow color and point S lies on a plane perpendicular to the yellow plane.
Therefore, points X and Y lie on more than one plane.
If there are 1.61 kilometers in a mile and also 5280 feet in a mile, the how many feet are there in 3 kilometers
Answers
Answer:
9,839 ft
Step-by-step explanation:
Which statement accurately describes the two congruent triangles? Triangles B A E and B C D where point B is an apex of both triangles. Line segments A B and B C are the same length, line segments C D and A E are the same length, and line segments B E and B D are the same length. Angles A E B and B D C have the same measurement, angles D C B and B A E have the same measurement, and angles A B E and C B D have the same measurement. Question 1 options: triangle A B E is congruent to triangle B C D triangle E A B is congruent to triangle D B C triangle A B E is congruent to triangle C B D triangle A E B is congruent to triangle C B D
Answers
Answer:
Triangle ABE is congruent to triangle CBD.
Step-by-step explanation:
Given two congruent triangles BAE and BCD where B is an apex of both triangles.
Given AB=BC, CD=AE, BE=BD
& also ∠AEB=∠BDC, ∠DCB=∠BAE, ∠ABE=∠CBD
By CPCT i.e. Corresponding parts of corresponding triangles
Correspondimg sides and angles area in the same position or spot in two different triangles.
Hence, Triangle ABE is congruent to triangle CBD.
8*5&1/2 please help i need this
Answers
Answer:
44
Step-by-step explanation:
8 * 5 1/2 =
8/1 * 11/2 =
88/2 =
44
Answer:
44
Step-by-step explanation:
HOPE THIS HELPS!
When George purchased a new car, he paid a 4% sales tax. The amount of sales tax he paid was $840.
What was the total cost of the car including the sales tax?
Enter your answer in the box.
Answers
Answer:
I would say your answer is $873.60
Step-by-step explanation:
$840.00
Tax (4%)
$33.60
Gross Amount (including tax)
$873.60
sorry if im wrong
A bag contains eight blue marbles six red marbles and four green marbles what is the probability of selecting a red marble replacing it in the bag then selecting a green marble
Answers
Answer: [tex]\frac{2}{27}[/tex]
Step-by-step explanation:
blue = 8 , red = 6 , green = 4 , total = 18
red and green
[tex]\frac{6}{18}[/tex] x [tex]\frac{4}{18}[/tex]
= [tex]\frac{1}{3}[/tex] x [tex]\frac{2}{9}[/tex]
= [tex]\frac{2}{27}[/tex]
A 2 liter bottle is filled completely with water from a faucet in 10 seconds. How much water was filled into the bottle each second?
Answers
Answer:
A 0.2 L water was filled into the bottle from faucet each seconds.
Step-by-step explanation:
Unit rate is defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.
Given the statement: A 2 liter bottle is filled completely with water from a faucet in 10 seconds.
⇒ In 10 sec a 2L bottle is completely filled with water from a faucet.
Unit rate per second = [tex]\frac{2}{10} = \frac{1}{5} = 0.2 L[/tex]
Therefore, 0.2 L water was filled into the bottle each seconds.
Answer:
0.2
Step-by-step explanation:
What is the first step in simplifying the following expression: 2 + 3(4 + 5×2) − 8 + 3^2
Question options:
2 + 3
5 x 2
3^2
4 + 5
Answers
Answer:
5 x 2 inside the parenthesis
Step-by-step explanation:
We need an order of operations to ensure we always arrive at the correct answer. It gives us a consistent way to work with numbers. We use the mnemonic device like PEMDAS to remember the correct order.
P-parenthesis
E-exponents
M-multiplication
D-division
A-add
S-subtract.
We apply them left to right doing inner operations before outer operations.
There fore our first step is in the parenthesis and multiplication because it is the inner most operations. 5 x 2 inside the parenthesis.
Which parachute has a slower decent: a red parachute that falls 0 feet in seconds or a blue parachute that falls 2 feet in seconds? Math problem
Answers
Answer:
Blue
Step-by-step explanation:
2>0
use the given information to prove that FG=HF
Answers
1. EG = HJ (Given)
2. EG = EF + FG, HJ = HF + FJ (Seg. Add. Prop.)
3. EF + FG = HF + FJ (Subst. Prop.)
4. EF = FJ (Given)
5. FG = HF (Subtraction Prop.)
It's challenging to demonstrate that FG equals HF as these may represent different elements or variables in different mathematics or physics contexts. At its simplest, FG seems to represent the gravitational force between two masses, and HF would need to represent the same force to hold true.
The equation given seems to pertain to gravitational forces where FG represents the gravitational force between two masses, electron and proton.
Given that FG = GMM where G is the gravitational constant (6.67×10-¹1 N·m²/kg²), m and M represent the masses of the electron and proton, to prove that FG=HF, it implies that HF represents the same gravitational pull.
However, without more detailed context or information, I can't further demonstrate or prove that FG does equal HF as these terms may refer to different elements or variables in different contexts of mathematics or physics problems.
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If you flip a coin or roll a 6-sided die, what is the probabilty that you will flip a tails and roll a 2?
Answers
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
P(tail) = [tex]\frac{1}{2}[/tex]
P(2) = [tex]\frac{1}{6}[/tex]
P(tail and 2 ) = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{12}[/tex]