To estimate the height of a building, two students find
the angle of elevation from a point (at ground level)
down the street from the building to the top of the
building is 40°. From a point that is 250 feet closer to
the building, the angle of elevation (at ground level) to
the top of the building is 46°. If we assume that the
street is level, use this information to estimate the
height of the building.
The height of the building is
feet.
Answers
When the angle of elevation from a point on the structure to its top is 40°, the building has a height to the nearest foot of 758 feet.
what is triangle ?Offered that it has sides and three vertices, a triangle qualifies as a polygon. It belongs to the fundamental geometric shapes. Triangle ABC is the term used to refer to a triangle with the endpoints A, B, and C. When the three points are not collinear, a unique rectangle and triangle in Trigonometry are discovered. Triangles are polygons because they have three sections and three corners. The points where the four sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
given
Using the triangles OBD and OAD and the SOH CAH TOA identity
OAD in triangle
Divide the two resulting equations to obtain the value of "x" for the triangle OBD.
The building's height must then be determined to the closest foot.
Just to refresh your memory, H = xtan50 H = 636tan50
H = 636(1.1918)
H = 757.96 feet.
Consequently, the building is 758 feet tall to the nearest foot.
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Related Questions
ILL GIVE BRAINLIEST
The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
y < −2x + 10
y < 1 over 2x − 2
Answers
inequalities: y ≤ −2x + 10 & y > (1/2x) - 2 is a solution to the system of inequalities .
What does co ordinate math entail?
An exact position of a point in the coordinate plane can be demonstrated using a collection of values called coordinates. Definition of a coordinate plane.
An intersection of two perpendicular lines known as the x-axis and y-axis results in a 2D plane known as a coordinate plane.
The points which represents a the solution are: A, C, D and K
See the attached figure.
The given inequalities: y ≤ −2x + 10 & y > 1/(2x − 2)
The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),
F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).
The attached figure represents the graph of the given inequalities.
The shaded area represents the solution of the inequalities.
So, the points lies in the shaded area represents the solution of the inequalities.
So, points A, C, D and K are a solution to the system of inequalities.
If the given inequalities: y ≤ −2x + 10 & y > (1/2x) - 2
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A series of isosceles triangles are drawn between two red line segments.
a = 11°. Work out x, explaining each stage of your working in the comment box.
Answers
The value of x in the isosceles triangles is 169 degrees
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
A series of isosceles triangles are drawn between two red line segments
Also, we have
a = 11°
Because the triangles are isosceles triangles, we have the following equation
x + a = 180
Substitute the known values in the above equation, so, we have the following representation
x + 11 = 180
Evaluate the like terms
x = 169
Hence, the value of x is 169
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An equation of the secant line containing and (-7,g(-7)) and (8,g(8)) is
Answers
The equation of the secant line containing the points (-7,g(-7)) and (8,g(8)) is y = (123/15)x + (98 - (123/15) * (-7)).
How did we get the values?The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. To find the equation of the secant line, we need to find the slope (m) and the point of intersection (x,y) of the line with the y-axis.
To find the slope (m) of the secant line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1,y1) = (-7, g(-7)) and (x2,y2) = (8, g(8)).
So, m = (g(8) - g(-7)) / (8 - (-7)) = (g(8) - g(-7)) / 15
Now, we can substitute the value of g(x) in the above equation and get the value of m
g(x) = 2x^2-7
m = (2(8^2)-7 - 2(-7^2)-7) / 15 = (2(64)-7 - 2(49)-7) / 15 = (128-7-98-7) / 15 = 123/15.
To find the point of intersection (x,y) of the line with the y-axis, we can use one of the given points and the slope. Let's use the point (-7,g(-7))
y = mx + b
g(-7) = m * (-7) + b
b = g(-7) - m * (-7)
We can substitute the value of g(x), m and x = -7 in the above equation and get the value of b.
g(x) = 2x^2-7
b = 2(-7)^2-7 - m * (-7) = 2(49)-7 - 123/15 * (-7) = 98 - 123/15 * (-7)
So, the equation of the secant line containing the points (-7,g(-7)) and (8,g(8)) is y = (123/15)x + (98 - (123/15) * (-7))
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1. P = 12 ft, s = 4 ft, b = 4 ft, h=2 ft, 3
sides (base is a triangle)
2. b = 4 in, P = 16 in, s = 12, 4 sides
(base is a square)
3. P = 48 m, b = 12 m, s=12, 4 sides
4. P = 45 yds, b = 15 yds, s=15, h=12,
3 sides
5. b = 6 ft, P = 24 ft, s=6, 4 sides
6. P = 15 ft, b = 5 ft, s=5 ft, h= 4, 3
sides
7. b = 4 in, P = 16 in, s-11, 4 sides
8. P = 40 m, b = 10 m, s-10, 4 sides
9. P = 45 yds, b = 15 yds, s=10, h=8,
3 sides
10. b = 16 ft, P = 64 ft, s=8, 4 sides
11. b = 5 ft, P = 20 ft, s=7, 4 sides
12. P = 45 ft, b = 15 ft, s=10, h=8, 3
sides
13. b 13 in, P = 52 in, s=11, 4 sides
=
14. P = 28 m, b = 7 m, s=8, 4 sides
15. P = 27 yds, b = 9 yds, s=30, h=25,
3 sides
Answers
1. The surface area of a triangular pyramid is (P * h) / 2.
So, (12 * 2) / 2 = 12 sq ft
2. The surface area of a square pyramid is B * P / 2.
So, 4 * 16 / 2 = 32 sq in
3. The surface area of a square pyramid is B * P / 2.
So, 12 * 48 / 2 = 288 sq m
4. The surface area of a triangular pyramid is (P * h) / 2.
So, (45 * 12) / 2 = 270 sq yds
5. The surface area of a square pyramid is B * P / 2.
So, 6 * 24 / 2 = 72 sq ft
6. The surface area of a triangular pyramid is (P * h) / 2.
So, (15 * 4) / 2 = 30 sq ft
7. The surface area of a square pyramid is B * P / 2.
So, 4 * 16 / 2 = 32 sq in
What are the values for other questions?8. The surface area of a square pyramid is B * P / 2.
So, 10 * 40 / 2 = 200 sq m
9. The surface area of a triangular pyramid is (P * h) / 2.
So, (45 * 8) / 2 = 180 sq yds
10. The surface area of a square pyramid is B * P / 2.
So, 16 * 64 / 2 = 512 sq ft
11. The surface area of a square pyramid is B * P / 2.
So, 5 * 20 / 2 = 50 sq ft
12. The surface area of a triangular pyramid is (P * h) / 2.
So, (45 * 8) / 2 = 180 sq ft
13. The surface area of a square pyramid is B * P / 2.
So, 13 * 52 / 2 = 338 sq in
14. The surface area of a square pyramid is B * P / 2.
So, 7 * 28 / 2 = 98 sq m
15. The surface area of a triangular pyramid is (P * h) / 2.
So, (27 * 25) / 2 = 675 sq yds
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The complete question goes thus:
Calculate The Surface Area Of Each Pyramid With The Following Values. (P = Perimeter, B = One Side Of The Base, S=Side, H=Height). Number Of Sides Is Given In Each Problem. The First Two Have Hints To Let You Know What The Shape Of The Base Is...
1. P = 12 ft, s = 4 ft, b = 4 ft, h=2 ft, 3
sides (base is a triangle)
2. b = 4 in, P = 16 in, s = 12, 4 sides
(base is a square)
3. P = 48 m, b = 12 m, s=12, 4 sides
4. P = 45 yds, b = 15 yds, s=15, h=12,
3 sides
5. b = 6 ft, P = 24 ft, s=6, 4 sides
6. P = 15 ft, b = 5 ft, s=5 ft, h= 4, 3
sides
7. b = 4 in, P = 16 in, s-11, 4 sides
8. P = 40 m, b = 10 m, s-10, 4 sides
9. P = 45 yds, b = 15 yds, s=10, h=8,
3 sides
10. b = 16 ft, P = 64 ft, s=8, 4 sides
11. b = 5 ft, P = 20 ft, s=7, 4 sides
12. P = 45 ft, b = 15 ft, s=10, h=8, 3
sides
13. b 13 in, P = 52 in, s=11, 4 sides
=
14. P = 28 m, b = 7 m, s=8, 4 sides
15. P = 27 yds, b = 9 yds, s=30, h=25,
3 act
You said your solution was (6,32) what is the meaning of this solution in term of the problem
Answers
The solution to the equation can be given as;
x = 6
y = 32
What is the solution of the problem?
We have to note that when we solve a problem, the values that we get at the end of the solution of the problem is (x,y). We can see that as we obtain the solutions, we would have to get the values of x and y.
In this case, we have been told that the solution to the problem have been given as (6,32). These are the points that yield the solution to the problem. As such we have;
x = 6
y = 32
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x-5y=16
4x-2y=-8
what is the value of x and y
Answers
Multiply both each term by 4 in this equation to get this:
4x = 20y + 64
Keep this aside for now; you will need it later.
Now, look at the second equation. Move -2y to the other side of the equation so that it is with -8. The equation will now look like this:
4x = 2y - 8
Now, go back to the first equation where we just multiplied by 4; take 20y + 64 and set it equal to 2y - 8. It should look like this:
20y + 64 = 2y - 8
Simplify:
18y = -72
y = -4
Now that we found y, substitute -4 for y in one of the given equations (I chose the first one):
x = 20 + 16
x= 36
There you have it! I hope this helps!
use synthetic division
f(x)= 2×^3+X^2-8X+5 BY X+3
Answers
markdown
Copy code
_________
|2 1 -8 5|
|3 3 0 0|
|0 -3 -8 2|
|0 0 -24 6|
_________
The final row represents the polynomial 2x^2 - 3x - 24, which is the remainder. The quotient is 2x^2 + 3x + 3.
So, f(x) divided by x + 3 is equal to (2x^2 + 3x + 3) + (2x^2 - 3x - 24)/(x + 3).
Answer:
f '(x) =6x² +2x-8+5by
Step-by-step explanation:
7. A coin bank contains $12.45 in quarters and dimes. If there are 16 more dimes than quarters,
how many are there of each?
Answers
Answer:
x = 40
Step-by-step explanation:
We can set up the following equations to represent the problem:
x = number of quarters
x + 16 = number of dimes
0.25x + 0.1(x + 16) = 12.45
Solving for x, we get:
x = 40
So there are 40 quarters and 56 dimes in the coin bank.
based on the histogram above, what numerical measure of central location would you recommend to use to describe this variable? mean/average median standard deviation covariance
Answers
Based on the histogram above, we will use median to describe this variable.
Hence, option (b) is correct choice.
A histogram is a graphical depiction of data distribution in statistics. The histogram is represented by a series of neighbouring rectangles, with each bar representing a different type of data. Statistics is a branch of mathematics that is used in a variety of areas.
The frequency distribution is represented graphically by a histogram.
The histogram may be analysed as a representation of frequencies and classes as linked rectangles.
Option B is the correct answer to this question.
Because the median is unaffected by big observations, we use it as a measure of central tendency while analysing the left skewed distribution.
The required image/ histogram is attached below:
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HELP ASAP PLSSSSSS
What is the equation of the line that is perpendicular to y = 4x + 6 and passes through the point (8, −4)?
y equals negative one-fourth times x minus 2
y equals negative one-fourth times x plus 7
y = 4x − 36
y = 4x + 24
Answers
y=-1/4x-2 is the equation of the line that is perpendicular to y = 4x + 6 and passes through the point (8, −4).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of perpendicular line will be -1/m
In the equation y = 4x + 6 the slope m is 4
The slope of perpendicular line will be -1/4
Now let us find the y intercept
-4=-1/4(8)+b
-4=-2+b
-2=b
y=-1/4x-2 is the equation of perpendicular line.
Hence, y=-1/4x-2 is the equation of the line that is perpendicular to y = 4x + 6 and passes through the point (8, −4).
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¿cual es el apotema de un hexagono que tiene 300 metros de perímetro y 2400 metros cuadrados de área?
Answers
Therefore , the solution of the given problem of hexagon comes out to be 2700 meters square is the area of hexagon.
what is a Hexagon?It is a polygon with five sides that is used in geometry. The inner angles of a straightforward pentagon add up to 540°. Simple or self-intersecting pentagons are both possible. A pentagram is a self-intersecting regular pentagon. Five angles and all sides of a regular pentagon are equal. It is referred to as an irregular pentagon if the side lengths and angle measurements do not match. All outside angles, as far as we are aware, balance out inside angles.
Here,
Given :
=> 300 meters
and
2400 meters
So,
=> area = 2400 +300 = 2700 meters square
Therefore , the solution of the given problem of hexagon comes out to be 2700 meters square is the area of hexagon.
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a recent study of patients found that of alcoholic patients, had elevated cholesterol levels, and of nonalcoholic patients, had elevated cholesterol levels. if a patient is selected at random, find the probability that the patient is the following. round your answers to three decimal places. part: 0 / 30 of 3 parts complete
Answers
The probability of a random patient being alcoholic with elevated cholesterol levels is 55/80, or 0.6875. The probability of a random patient being nonalcoholic is 320/400, or 0.8. Lastly, the probability of a random patient being nonalcoholic with Non elevated cholesterol levels is 248/400, or 0.62.
To calculate the probability of a random patient being alcoholic with elevated cholesterol levels, we must first determine the total number of patients with elevated cholesterol levels. This can be done by adding the number of alcoholic patients (55) with elevated cholesterol levels to the number of nonalcoholic patients (72) with elevated cholesterol levels.
The result is a total of 127 patients with elevated cholesterol levels. This means that out of 400 patients, 55 of them were alcoholic and had elevated cholesterol levels. Therefore, the probability of a random patient being alcoholic with elevated cholesterol levels is 55/400, or 0.6875.
The probability of a random patient being nonalcoholic is equal to the total number of nonalcoholic patients (320) divided by the total number of patients (400). This yields a probability of 0.8.
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Find DB if BC = 6 and AD = 5
Answers
Answer:
4
Step-by-step explanation:
For each value of w determine whether it is a solution to 1 = w/9 - 7
A. -63
B. 72
C. 0
D. 18
Answers
Answer:
A. -63 is not a solution, B. 72 is a solution, C. 0 is a solution, D. 18 is not a solution.
Step-by-step explanation:
please I need help with this math question
Answers
Answer:
10,4 ft
Step-by-step explanation:
c^2 = a^2 + b^2
c=12 a= 6
b^2= 144 - 36
= 108
b = 10,4
vanessa purchased a house for $619,900. her house has appreciated by 6% in 7 years, what is the new value of her home
Answers
Answer:
Okay, so you want to find 7% of 619,900, and then add that to it.
7% of 619,900 is 43,393.
Now you just add that 6% to the total amount that is was worth.
619,900 + 43, 393 = 663293
The house is worth $663,293.00
Step-by-step explanation:
Hope it helps! =D
At Pharoah’s Palace, a hypothetical Las Vegas casino, management has tampered with the dice. Management modified a standard six-sided die so that the probability of each side is now proportional to the number of spots on the side. [That is, the probability of a 2 is twice the probability of a 1; the probability of a 3 is three times the probability of a 1; etc.]
What is the uncertainty distribution for the number of spots on the up side when the die is thrown? Write down all of the possible outcomes and their probabilities. [Hint: The probabilities must add up to 1.]
Calculate the mean of the uncertainty distribution.
Calculate the standard deviation of the uncertainty distribution.
Suppose that you know all about the casino’s tampering with the dice. Now the casino offers to pay you $1,000 for each spot showing on the up side of a single throw of the die. But the casino will charge you $4,000 for the right to play the game. Would you accept the casino’s offer to play? Why or why not?
Answers
The mean of the uncertainty distribution is 3.7
The probability distribution of a random event describes the likelihood of each possible outcome of that event.
In the case of the modified die at Pharaoh's Palace, the management has changed the standard probability distribution so that the probability of each side is proportional to the number of spots on the side.
The possible outcomes are 1, 2, 3, 4, 5, and 6, and their probabilities can be calculated by summing up the probabilities of each side and ensuring that they add up to 1.
The mean of the uncertainty distribution is calculated by taking the sum of each possible outcome multiplied by its probability and dividing by the number of possible outcomes.
In this case, the mean is approximately 3.7.
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Pls help I’m so confused and it’s due tomorrow!!!! (Don’t mind the writing on it, I was just trying to figure it out)
Answers
Answer:
The 1st one is A and the 2nd one is C
Step-by-step explanation:
Question 1
Consider the equation 2(x + 3) = 14.
Select the correct steps that are used to solve the equation.
Step 1: Select Choice
Step 2: Select Choice
Answers
Answer:
Step 1: Divide both sides by 2
Step 2: Subtract both sides by 3
Step-by-step explanation:
Step 1: 2(x + 3) = 14
Step 2: x + 3 = 7
x = 4
find the change in the density rho of a substance, when the temperature changes by δt . assume βδt≪1 .
Answers
The change in the density rho of a substance when the temperature changes by δt is dρ = -β × δt × ρ.
The change in density, dρ, of a substance when the temperature changes by delta_t (δt) can be calculated using the coefficient of thermal expansion, beta (β):
dρ = -β × δt × ρ
Where rho is the original density of the substance. If beta * delta_t is much less than 1 (beta * delta_t << 1), then the change in density can be considered to be small, and the original density can be used in the calculation.
Therefore, the change in density rho is -β × δt × ρ.
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Supplement of 129° geomitry
Answers
- The point of intersection of the east-west and north-south lines is at A.
- The point of intersection of the east-west and north-south lines is B.
- The point of intersection of the north-south line and the vertical line is at C.
- The point of intersection of the north-south line and the horizontal line is at D.
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the function in standard form. Show your work.
0, 5, -5+sqrt8
Answers
The polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros is a³ - 5a³ - 4(5 - √8)a.
What is a polynomial function?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
For the given factors, write the factors in the coefficient form, following form:
a, (a - 5), (a + 5 - √8)
Multiply all the factors:
(a)(a - 5) = a² - 5a
(a² - 5a) (a + 5 - √8) = a³ + (5 - √8)a - 5a² - 5(5 - √8)a
Combine the like terms:
a³ - 5a³ - 4(5 - √8)a
Hence, the polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros is a³ - 5a³ - 4(5 - √8)a.
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A rectangular field meaure 104 m by 76 m ue a cale of 1 cm to 10m to draw a plan of the field. Find the ditance from the centre pot to a corner flag
Answers
The distance from the center point to a corner flag is approximately 6.4 cm on the plan
The length and width of the rectangular field, on a scale of 1 cm to 10 m, can be represented as 104 m / 10 = 10.4 cm and 76 m / 10 = 7.6 cm, respectively. The half of the length is 5.2 cm and the half of the width is 3.8 cm.
To find the distance from the center point to a corner flag, we need to use the Pythagorean theorem. The distance is the square root of the sum of the squares of half the length and half the width:
√(5.2^2 + 3.8^2) = √(27.04 + 14.44) = √41.48
So the distance from the center point to a corner flag is approximately 6.4 cm on the plan.
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with my internet connection, my computer estimated that it would take 18 sec to download an 890-KB file. what is the transfer rate in gigabytes (GB) per day
step by step please
Answers
Answer:
0.712GB
Step-by-step explanation:
1 day = 24hrs = 24*60 seconds
speed 890KB per 18 seconds
so 24*60/18 = 80 *890KB= 71200KB
1GB = 100000KB
so 0.712GB
find 10% of 70
pls give simple working out :)
Answers
cross multiply
100x=700
divide
x=7
Answer: 7 is the 10% of 70
Step-by-step explanation:
1. write 10% as 10/100 as we convert in this form to find the percentage.
2. 10/100 x 70 = 7
therefore the answer is 7
Kevin Carter Male Clothing Ltd is a chain of fashion outlets across Birmingham and the
midlands. In quarter 1 they had inflows of £540,000 across their three stores, with outflows
of £495,000. Their opening balance for the quarter was £20,000. For quarter 2 they
anticipate inflows to increase by 7.5% and outflows increase by 5%. Calculate their closing
balance for Quarter 2.
Answers
According to the question, the closing balance for quarter 2 is £82,750.
What is the quarter ?A quarter is one fourth of a year. It is typically a three month period, usually consisting of January, February, and March; April, May, and June; July, August, and September; or October, November, and December. The terms of a quarter can vary depending on the context. For example, in the United States, quarters are commonly referred to as “fiscal quarters,” and begin on the first day of October, January, April, and July. In this case, each quarter covers a three-month period.
Inflows for quarter 2: 540,000 x 1.075 = £581,000
Outflows for quarter 2: 495,000 x 1.05 = £519,250
Closing balance for quarter 2:
Opening balance + Inflows - Outflows =
20,000 + 581,000 - 519,250 = £82,750
Therefore, the closing balance for quarter 2 is £82,750.
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Help
Which of the following graphs has a slope of negative two thirds and a y-intercept of 2?
graph of a line passing through the points 0 comma 2 and 3 comma 0
graph of a line passing through the points 0 comma 2 and 2 comma negative 1
graph of a line passing through the points 0 comma 3 and 2 comma 0
graph of a line passing through the points 0 comma 3 and 3 comma 1
Answers
The required graph A has a slope of negative two-thirds and a y-intercept of 2. Option A is correct.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m = tax where x in degrees.
m = (y₂ - y₁) / (x₂ - x₁)
The graph of lines A has the slope of -2/3 and 2 as,
m = (y₂ - y₁) / (x₂ - x₁)
Put points (0, 2) and (3, 0) in the above expression
m = 0-2/3-0
m = -2/3
And at x = 0 there y = 2
Thus, the required graph A has a slope of negative two-thirds and a y-intercept of 2. Option A is correct.
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for what values of k does the quadractoc eqiation (k 4)x^2 -3kx -4(k-2)=0 have two roots differing by 1
Answers
As per the quadratic equation, the value of k is 48 ± 8√26.
The term called quadratic equation is known as the polynomial equation whose highest degree is two
Here we know that the value of the quadratic equation is written as,
=> (k - 4)x² - 3kx - 4(k -2) = 0.
Here we have identified that the given equation is in the form of ax² + bx + c = 0.
Then the value of a = k - 4, b = -3k and c = 4(k-2)
Now, we have to use the quadratic formula to identify the value of k, then it can be written as.
=> (-3k)² - (4 x (k - 4) x 4(k-2))
=> 9k² - ((4k - 16) x (4k - 8))
=> 9k² - (16k² - 32k - 64k + 128)
=> 9k² - 16k² +96k -128 = 0
=> -5k² + 96k - 128 = 0
When we factorize the expression then we get the value of k as,
=> k = 48 ± 8√26.
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when you calculate the number of combinations of r objects taken from a group of n objects what are you counting? give an example.
Answers
Answer:
Below
Step-by-step explanation:
You are counting the number of SUBSETS
Example set {2,7}
has subsets { } {2} {7} {2,7}
The number of subsets given a set of 'n' is 2^n
When you calculate the number of combinations of "r" objects taken from a group of "n" objects, you are counting the number of different ways you can choose "r" items from the "n" items without regard to their order (i.e. their arrangement does not matter).
What is combination?A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant. A combination is a method of picking elements from a collection when the order of selection is irrelevant. Assume we have three integers P, Q, and R. Combination defines how many possibilities we may choose two numbers from each set. A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations. For example, if you have a group of 6 books and you want to know how many different combinations of 3 books you can choose, you would use the formula: C(6,3) = 6!/(3! * (6-3)!). The answer would be 20, meaning there are 20 different combinations of 3 books you can choose from the group of 6.
To know more about combination,
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solve for u please: u-5/9=5/6
Answers
Start by adding 5/9 to both sides of the equation:
u - 5/9 + 5/9 = 5/6 + 5/9
Simplifying the left side of the equation:
u = 5/6 + 5/9
Simplifying the right side of the equation:
u = (5/6 + 5/9)
u = (30 + 45) / 54
u = 75 / 54
Simplifying the fraction:
u = 5/4
Therefore, the solution to the equation is u = 5/4
