Cersei is dissatisfied with her current office building and would like to build a new, trophy building. The lot she wants to build on is a city block with a depth of 325 ft. and a width of 325 ft. The building she has in mind would have 80,000 square feet on each floor. The Council has imposed a cap on FAR of 20. How many floors can Cersei build
Since the number of floors must be a whole number, Cersei can build a maximum of 26 floors on the given lot while adhering to the FAR limit of 20.
To determine the number of floors Cersei can build on the given lot, we need to consider the Floor Area Ratio (FAR) limit imposed by the Council. FAR is the ratio of the total floor area of a building to the area of the lot it is built on. In this case, the FAR limit is set at 20, which means the total floor area cannot exceed 20 times the area of the lot.
The area of the lot is the product of its depth and width:
Area of the lot = Depth * Width
= 325 ft * 325 ft
= 105,625 sq ft
Since the FAR is capped at 20, the maximum total floor area allowed on the lot is:
Maximum Total Floor Area = FAR * Area of the lot
= 20 * 105,625 sq ft
= 2,112,500 sq ft
Given that each floor of Cersei's building has an area of 80,000 sq ft, we can determine the maximum number of floors as follows:
Number of Floors = Maximum Total Floor Area / Area per Floor
Number of Floors = 2,112,500 sq ft / 80,000 sq ft
Number of Floors ≈ 26.41
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Can some one help pls
Answer:
I don't see the link fix it or something
-5 – 3(x – 8) = -5x + 19
Answer:
\(x=0\)
Step-by-step explanation:
Given the following question:
\(-5 - 3(x - 8) = -5x + 19\)
To find the answer expand the equation, add/subtract on both sides, and simplify the expression.
\(-5 - 3(x - 8) = -5x + 19\)
\(-5-3(x-8)=-3x+19\)
\(-3x+19=-5x+19\)
\(19-19=0\)
\(19-19=0\)
\(-3x=-5x\)
\(-3x+5x=-5x+5x\)
\(-3x+5x=2x\)
\(2x=0\)
\(2x\div2=x\)
\(0\div2=0\)
\(x=0\)
Your answer is "x = 0."
Hope this helps.
How many cubic centimetres would you place in a tub of water to displace 1 L of water?
1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water
What is conversion of units?Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.
From the information given, we have that;
Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water
So, we have that there is 1 liter of water in the tub
In order to displace, you need to put something in that is the same amount
Now, let's convert the units
1 liter = 1000 cubic cm
Hence, you need 1000 cubic cm to displace 1 liter
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Find the area of each circle. Round to the nearest tenth.
Answer:
5 6 7
Step-by-step explanation:
Solve for 2. Round to the nearest tenth of a degree, if necessary.
3.9
0
H
2.2
NO0
Answer: 2
Submit Answer
Pls heparin
Answer:
x = 60.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan x = 3.9/ 2.2
Taking the inverse tan of each side
tan ^-1 (tan x )= tan ^-1(3.9/ 2.2)
x=60.57254
To the nearest tenth
x = 60.6
A grocery store worker has to collect all the shopping carts left out in the parking lot. They collect 4 carts and measure the length of the 4 carts to be 51 inches. They then collect another cart for a total of 5 carts. They measure the length of the 5 carts to be 57 inches.
a. There are a total of 21 carts in the parking lot. How long will the line of 21 carts be?
b. If the grocery store worker is pushing a line of carts that is 117 inches long, how many carts do they have?
c. How long is a single cart?
WILL GIVE BRAINLIEST + THANKS !
‘question’ 1 options: yes / no
‘question’ 2 options:
p= 5,184a
or
a = 5,184p
or
p= 0.0001929a
Yes, there is a relationship between the screen size and the number of pixels.
The equation representing the relationship will be a = 5,184p.
How to illustrate the information?It should be noted that the information is to simply know if there is a relationship between the screen size and the number of pixels.
The equation representing the relationship will be:
= Number of pixels / Screen size
= 31.104 / 6
= 5.184
Therefore, the equation representing the relationship will be a = 5,184p.
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Pls helppp ASAP I have more I will post
Answer:
94/45
Step-by-step explanation:
What is the domain and range of the graph?
Answer:
Domain: [-1, 5]
Range: [-1, 2]
Step-by-step explanation:
a mountaineer attaches a backpack to two long pieces of nylon webbing of the same length, each wound on its own spool. each spool contains a taped webbing joint having essentially zero strength with probability 0.1. one spool having a joint is independent of the other spool having a joint. the spools are unwound to lower the backpack off a tall cliff. what is the probability the backpack falls because both spools have a taped joint?
There is a 99% chance that the backpack will not fall because at least one of the spools will not have a taped joint. To find the probability that the backpack falls because both spools have a taped joint, we can use the multiplication rule of probability.
Let's define the following events:
A: The first spool has a taped joint
B: The second spool has a taped joint
We are given that the probability of each spool having a taped joint is 0.1, and we are told that the events A and B are independent.
Using the multiplication rule of probability, we can find the probability of both events A and B happening:
P(A and B) = P(A) * P(B)
P(A and B) = 0.1 * 0.1
P(A and B) = 0.01
Therefore, the probability that the backpack falls because both spools have a taped joint is 0.01 or 1%.
Therefore, there is a 99% chance that the backpack will not fall because at least one of the spools will not have a taped joint. It is important to note that this assumes that the rest of the equipment is in good condition and the webbing itself is strong enough to hold the weight of the backpack.
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Proving Triangle Similarity
helpppppppppppppppp edge 2022
30 reward thing
edit: nvm i got it
The Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have a given two triangles as shown in the picture.
As we have given QR ⊥ PT
And
Angle QPR ≅ Angle STR (given)
From the definition of the perpendicular line, the angle at the intersection will be a right angle or 90 degrees.
Angle QRP ≅ Angle SRT
By angle-angle or AA
Triangle PQR is similar to Triangle TSR
Thus, the Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .
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Please help and show work only do the left side
Writing linear equations given two points can be a useful skill when graphing linear equations.
Write a linear equation that passes through the given two points?To write a linear equation given two points, you need to first find the slope of the line. You can do this by finding the change in the y-value and dividing it by the change in the x-value. From there, you can use the slope to solve for the y-intercept and write the equation.For example, if the two points are (3, 4) and (0,5), you would find the slope by calculating the change in the y-value (5-4 = 1) and dividing it by the change in the x-value (0-3 = -3).The slope would then be 1/-3, which can be simplified to -1/3. To solve for the y-intercept, you can plug in one of the points and solve for b. In this case, you would plug in (3, 4) and solve for b, giving you b = 5. Now that you have the slope and y-intercept, you can write the equation as y = -1/3x + 5.y = -1/2xy = 5/3x + 5/3y = 3/5x + 1y = -1/2x - 2y = 6/5x + 5y = -4/4x - 8y = -3/5x - 7/5y = -2x - 4y = 5/6x + 7y = -1/2x + 4To learn more about linear equation refer to:
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6
2
+x−x
2
6, squared, plus, x, minus, x, squared for x=3x=3x, equals, 3.
The value of the expression when x = 3 is 48
How to determine the valueAlgebraic expressions are expressions consisting of variables and constants.
Given the expression;
6² + x - x²
x = 3
First, we solve the expression
36 + x + x²
Now, let's substitute the value of x as 3
36 + x + x²
36 + 3 + 3²
Find the square
= 36 + 3 + 9
Add the values
= 48
Thus, the value of the expression when x = 3 is 48
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If a fresh squeezed orange juice stand sells someone 4 cups for $4.60, what is the cost of 1 cup of orange juice?
$1.15 per 1 cup of orange juice
Step-by-step explanation:
find unit cost: cost ÷ quantity
4.60 ÷ 4= 1.15
Answer:
the answer is on the above
What is the circumference of a circle with a radius of 34 meters?
(Use 27
as an estimate for a.)
A. 7 meters
O
B. 11 meters
C. 22 meters
D. 44 meters
Answer:
2 x 3.14 x 3 1/2
(make each a fraction)
2/1 x 314/100 x 3 1/2 = 21 49/50 around 22, C is your answer.
suppose you obtain a chi-square statistic of 3.86. are your results statistically significant if the critical value obtained from the distribution of chi-square is 6.63 with an alpha level of .01?
The chi-square statistic of 3.86 is not statistically significant if the critical value obtained from the distribution of chi-square is 6.63 with an alpha level of .01.
To determine if the obtained chi-square statistic of 3.86 is statistically significant or not, we need to compare it to the critical value obtained from the distribution of chi-square, which is 6.63, at a significance level of 0.01.
In this case, the obtained chi-square value is less than the critical value, indicating that we fail to reject the null hypothesis. This means that the observed frequencies in the sample are not significantly different from the expected frequencies based on the null hypothesis. The alpha level of 0.01 indicates that we are willing to accept a 1% chance of making a Type I error, which is rejecting the null hypothesis when it is actually true. Since the obtained chi-square value is not greater than the critical value, we do not have sufficient evidence to reject the null hypothesis.
In summary, the results are not statistically significant at the 0.01 significance level, based on the obtained chi-square statistic of 3.86 and the critical value of 6.63. This means that there is no significant difference between the observed and expected frequencies, based on the null hypothesis.
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what is the value of 4w?
4w+8=32
Answer:
= 6
Step-by-step explanation:
Answer:
4w=4(6)
w=6
Step-by-step explanation:
Subtract: 32-8=24Divide: 24 divided by 4=6Solve new problem: 4(6)+8=324(6)+8=3224+8=32Hope this helped!! :)
Stay safe and have a wonderful day/night!
Brainliest?!?!
Brian asked a group of people their favourite holiday destination.
The results are summarised in the table.
Destination UK Europe USA Africa Other
Frequency 204 84 36 204 12
How many degrees does one person represent?
Give your answer as a fraction in its simplest form.
Answer:
One person represents 360 degrees / (204 + 84 + 36 + 204 + 12) = 360 degrees / 540 = 4/6 = 2/3 degrees.
c = 4.95+1.25 with C = total shipping cost and n = number of calculators in a box
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on the line x = -1. If the area of triangle ABC is 6 square units, then find a possible y-coordinate of point C. Options: 5 6 7 8
Answer:
The possible y-coordinate of point C is 6
Step-by-step explanation:
The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.
Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.
The area of a triangle = 1/2 × base × height
6 = 1/2 × 3 × height
height = (2 × 6) / 3 = 4 units
Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2
The coordinate of point C is either (-1, 6) or (-1, -2)
The coordinate of point C is either (-1, 6) or (-1, -2)
Area of triangles and coordinatesThe formula for calculating the area of a rectangle is expressed as;
A = 0.5bhwhere:
b is the base of the triangleh is the height of the triangle;Get the height of the triagle:
6 = 0.5(3)h
6 = 1.5h
h = 6/1.5
h = 4 units
Since point C is perpendicular to line y = 2, the y-coordinates will be either (2 + 4) = 6 or (2 - 4) = -2
Hence the coordinate of point C is either (-1, 6) or (-1, -2)
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The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. If the price stays the same, how much will he pay for 15 gallons of gas?
Answer:
52.5
Step-by-step explanation:
=24.5/7
=3.5
Then
3.5*15
=52.5 ans#
Find the HCF of x 2 y 3 and x 3 y
Answer:
the answer is to the question is x2×y×3
Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?
Answer:
He should have said that his small brother had 100 small building bricks, but lost 5 in total now.
The depth of a local lake averages 26 ft, which is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|. What is the difference between the depths in February and July? ( I need help I'm running out of time!!!)
21 feet
23 feet
8 feet
13 feet
The difference between the depths in February and July is the fourth option that is 13 feet |−13|.
Given that:-
Average of a depth of a local lake = 26 ft represented as |−26|.
Depth of a local lake in February = 5 ft represented as |−5|.
Depth of a local lake in July = 18 ft represented as |−18|.
We have to find the difference between the depths in February and July.
We know that,
Difference between the depths in February and July = Depth in July - Depth in February = 18 - 5 = 13 feet represented as |−13|.
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(a) Determine the angle 136° to radian measure. Report your answer accurate to the nearest 0.01 radians. 8=136⁰ Number radians. (b) Convert the angle 3.77 radians to degree measure. Report your ans
(a) the angle 136° is approximately 2.37 radians, and (b) the angle 3.77 radians is approximately 216.02 degrees.
To convert an angle from degrees to radians, we need to multiply the degree measure by π/180.
(a) To convert 136° to radians:
136° * (π/180) ≈ 2.3727 radians.
Therefore, the angle 136° is approximately equal to 2.37 radians.
(b) To convert 3.77 radians to degrees:
We can use the formula: degree measure = radian measure * (180/π).
3.77 * (180/π) ≈ 216.02 degrees.
Therefore, the angle 3.77 radians is approximately equal to 216.02 degrees.
So, (a) the angle 136° is approximately 2.37 radians, and (b) the angle 3.77 radians is approximately 216.02 degrees.
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(a) The angle 136° measures 2.37 radians. (b) The angle 3.77 radians measures approximately 216.02 degrees.
To convert an angle from degrees to radians, we need to multiply the degree measure by π/180.
(a) To convert 136° to radians:
136° * (π/180) ≈ 2.3727 radians.
Therefore, the angle 136° is approximately equal to 2.37 radians.
(b) To convert 3.77 radians to degrees:
We can use the formula: degree measure = radian measure * (180/π).
3.77 * (180/π) ≈ 216.02 degrees.
Therefore, the angle 3.77 radians is approximately equal to 216.02 degrees.
So, (a) the angle 136° is approximately 2.37 radians, and (b) the angle 3.77 radians is approximately 216.02 degrees.
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which expression represents 5/8 pls help I'm doing a test
Answer:
The answer is 5 divided by 8, or answer A.
Answer:
Answer A, because 5 divided by 8 is the same as 5/8
Step-by-step explanation:
Matrix B is obtained from matrix A by three row-swaps, and matrix C is obtained from A by dividing a row of A by 3. Suppose det A=5. Find det B and det C.
Does det B= -5, det C= 5/3 ? True or False?
Matrix B is obtained from matrix A by three row-swaps, and matrix C is obtained from A by dividing a row of A by 3. Suppose det A=5.then det B= -5, det C= 5/3 is a true statement
What is a matrix simple definition?
matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide applications in engineering, physics, economics, and statistics as well as in various branches of mathematics.
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what’s the correct answer
Answer: The answer is A
Step-by-step explanation:
36x-2 + 34x+2 = 180 solve
Answer:
First, collect the like terms
36x+34x=180+2-2
Solve,
74x=180
x=180/74
2.43243243243
When you round it, it will be approximately,
x≅2.43
Step-by-step explanation:
I hope it helped please give me brainliest
Answer:
\(x = \frac{18}{7} \)