the parking space outside sky towers measures 2x-1 meters x+2 meters . what is rhe cost of cleaning the parking area if the cleaner has to be paid rs 50 per m^2
Answer:
Rs 100x² + 150x - 100
Step-by-step explanation:
Area of the parking space = Length * Width
Area of the space = (2x-1)(x+2)
Expand
Area of the space = 2x² + 4x - x - 2
Area of the space = (2x²+3x - 2) sq. m
Since 1sq.m = Rs 50'
(2x²+3x - 2) sq. m= z
z = 50 (2x²+3x - 2)
z = 100x² + 150x - 100
hence the cost of the parking spsce is Rs.100x² + 150x - 100
HELPPP PLEASE!!!
Luke purchased a warehouse on a plot of land for his business. The gure
represents a plan of the land showing the location of the warehouse and parking
area. The coordinates represent points on a rectangular grid with units in feet.
(0, 60)
(70, 60)
(450)
(39,50)
Warehouse
(4, 20)
(39, 20)
Parking Area
(0, 0).
(50, 0)
(4,0)
Enter your answers to each part in the boxes
Part A
What is the perimeter of the plot of land rounded to the nearest tenth of a foot?
Part B
What is the area of the plot of land that does not include the warehouse and the parking area?
Part C
Luke is planning to put a fence along two interior sides of the parking area. The sides are
represented in the plan by the legs of the trapezoid What is the total length of fence needed to the
nearest tenth of a foot?
Answer:
A: 243.2 B: 1740 C: 42.8
Step-by-step explanation:
The perimeter of the plot of land is 180 + 20√10. THe are aof the plot of land that doesn't include the warehouse and the parking area is 85400 sq. units. The total length of fence needed is 20 + √520 units
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
For this case, the renamed image is given below.
The slope of AB is: [tex]m_{AB} = \dfrac{50-50}{39-4} = 0[/tex]
The slope of CD is: [tex]m_{CD} = \dfrac{20-20}{39-4} = 0[/tex]
That shows AB and CD are parallel. Similarly, we can show that AC and BD are parallel. Also, we can show that AB and AC are perpendicular.
Thus, ABCD is a rectangle.
|AB| = length of AB = [tex]\sqrt{(39-4)^2 + (50-50)^2} = 35 \: \rm units[/tex]
|AC| = length of AC = [tex]\sqrt{(4-4)^2 + (50-20)^2} = 30 \: \rm units[/tex]
Thus, |AB| and |CD| are of same length because ABCD is a rectangle, and so as |AC| and |BD|.
The area of ABCD = multiplication of length of its two adjacent sides= [tex]35 \times 30 = 1350 \: \rm unit^2[/tex]Area of Warehouse
Similarly, we can show that the sides EI and CD are parallel, thus making CEID a trapezoid. Also, CE is perpendicular to CD and EI, thus, its length can serve as height of the trapezoid CEID.
The length of CD = length of AB = |AB| = 35 units.
The length of EI = [tex]\sqrt{(50-4)^2 + (0-0)^2} = 46 \: \rm units[/tex]
The length of CE = [tex]\sqrt{(4-4)^2 + (20-0)^2} = 20 \: \rm units[/tex]
Thus, area of CEID = [tex]\dfrac{1}{2}(\text{Sum of parallel sides})\times \text{height}[/tex] = [tex]\dfrac{35 \times 46 \times20}{2} = 16100\: \rm unit^2[/tex] = Area of Parking Area
Similarly, IFGH is a trapezoid, and its height can be taken as the length of GF as GF is perpendicular to its parallel sides.
The length of GF = [tex]\sqrt{(0-0)^2 + (0-60)^2} = 60 \: \rm units[/tex]
The length of IF = [tex]\sqrt{(50-0)^2 + (0-0)^2} = 50 \: \rm units[/tex]
The length of GH = [tex]\sqrt{(0-70)^2 + (60-60)^2} = 70 \: \rm units[/tex]
Thus, area of IFGH = [tex]\dfrac{1}{2}(\text{Sum of parallel sides})\times \text{height}[/tex] = [tex]\dfrac{50 \times 70 \times 60}{2} = 105000\: \rm unit^2[/tex] = Area of Plot
Length of HI = [tex]\sqrt{(70-50)^2 + (60-0)^2} = 20\sqrt{10} \: \rm units[/tex]
Thus, perimeter of plot = |GF| + |IF| + |GH| + |HI| = 180 + 20√10 units
Area of the plot of land that does not include the warehouse and the parking area = 105000 - 16100 - 3500 = 85400 sq. units
The fencing is done on the legs of the trapezoid CEID which are CE and DI
Length of CE = 20 units,
Length of DI = [tex]\sqrt{(39-50)^2 + (20-0)^2} = \sqrt{521} \: \rm units[/tex]
Thus, the length of the fencing is [tex]20 + \sqrt{521}[/tex] units.
Thus, the perimeter of the plot of land is 180 + 20√10. THe are aof the plot of land that doesn't include the warehouse and the parking area is 85400 sq. units. The total length of fence needed is 20 + √520 units
Learn more about distance between two points here:
https://brainly.com/question/16410393
find the value of given expression
[tex] \sqrt{25 \times 5 - 2 {}^{2} } [/tex]
Marlena was asked to find an expression that is not equivalent to 212 Which of the following is not equivalent to the given
expression?
Answer:
(2⁶)(2⁶)
Step-by-step explanation:
Hope it help
brainliest please
Please help me out!!! I am stuck!!! Brainiest will be marked!!!
helppppppppppppppppppppp
Answer:
y =-0.5x-3
Step-by-step explanation:
hope that helps please mark as brainliest if correct
thank you
Answer:
first option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (6, 0) ← 2 points on the line
m = [tex]\frac{0-3}{6-0}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex] = - 0.5
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 0.5x + 3 ← equation of line
Lol help now files just type it
Answer:
2 = 4/2
Step-by-step explanation:
Well the one for the 2 wholes, Since 2 wholes equal 4/2
because 4/2 simplified is 2 whole it I believe would be 4/2
Answer:4/2,5/2
Step-by-step explanation:
I believe that 4,2 because it's going in order and 4/2= 2 which is shown below. And 5,2 because 5/2=2.5 which is half of 2 and 3.
28/1/4 equals what beats per minute
Answer:
112
Step-by-step explanation:
marios heart rate and intensity level is 112
Help Math help help help ASAP
Answer:
Step-by-step explanation:
a) 2,35 x 10^9
b) 2,5 x 10^7
c) 9 x 10^4
help me idc if u out the wrong answer
Answer:
3.92522 i used a right triangle caluclator
Step-by-step explanation:
Answer:
3.9 broo
Step-by-step explanation:
Bro use the Sin law
a / Sin A = b / sin B = c / sin C
the missing angle is 180 - (90 + 63) which is 27
so you have one side measure =>
-------------------------------------------------------------------
2 / sin 27 is equal to x / sin 63 solve to proportion, sooo
4.40537853 is equal to x/0.891006524
then: 4.40537853 times 0.891006524 is x
x = 3.92522101
so last choice, 3.9
Which of the following are compound events?
A.
Jacob flips a coin and pulls a card
B.
A teacher selects a student randomly from the class
C.
Maria spins a spinner from a board game to determine her next move
D.
The forecast for rain today
E.
Customer orders a Turkey and Swiss sandwich on wheat bread
F.
A family has two boys and a girl
Answer:
a
Step-by-step explanation:
A compound event is an event that has more than one outcome. it is the combination of two simple events
Any ideas I don’t get it
Answer:
60 cm
Step-by-step explanation:
3*4*5= 60
Answer:
Your awnser is 115!
Step-by-step explanation:
You get 115 calculating the height length and width
1. Since 1963, the State of California has used the following rules for standard
car license plates
• Every license plate has the format ###AAA#, where # represents a numeral
0-9 and A represents a letter A-Z.
• The first and third letter positions cannot be I, O, or Q (to avoid
confusion with mumbers 1, 0).
How many license plates can the State of California issue that follow
these rules?
Answer:
137,540,000
Step-by-step explanation:
###AAA#
There are 10 digits from 0 to 9.
There are 26 letters from A to Z.
We apply the counting principle. We see the number of possible digits or letters than can be placed in each position, and then we multiply them together.
There are 10 digits for the first position.
###AAA#
10
There are 10 digits for the second position.
###AAA#
10 * 10
There are 10 digits for the third position.
###AAA#
10 * 10 * 10
There are 23 letters for the fourth position.
###AAA#
10 * 10 * 10 * 23
There are 26 letters for the fifth position.
###AAA#
10 * 10 * 10 * 23 * 26
There are 23 letters for the sixth position.
###AAA#
10 * 10 * 10 * 23 * 26 * 23
There are 10 digits for the seventh position.
###AAA#
10 * 10 * 10 * 23 * 26 * 23 * 10
Now we multiply all the numbers together.
10 * 10 * 10 * 23 * 26 * 23 * 10 = 137,540,000
I'm having some trouble on part B for this question, got no idea where to start on it. Any help?
Answer:
20,000 in sales last month.
Step-by-step explanation:
can't really explain it I just found how much in sales would make that amount of commission.
5000 with 5%
15000 with 7.5%
What are the next two numbers in the sequence 1. 8. 27.___, __?
O 34,53
O 32, 75
O 64, 125
54. 270
Answer:
64, 125
Step-by-step explanation:
Each number is cubed:
1^3= 1
2^3=8
3^3=27
4^3=64
5^3=125
what are the zeros of (2x+5)(x-6) ?
Answer:
x=-5/6 , 6
Step-by-step explanation:
Michael runs 3.5 miles in 30 minutes. If he continues at this rate for 2 hours, determine his rate of change.
Answer:
The answer would be 7mph.
Step-by-step explanation:
The rate of change is just miles per hour.
2) I am a 5 digit number between 70,000 and 80,000 My hundreds digit is greatest single digit odd number. My thousands digit is two less than hundreds place. My ones place is 3 less than ten thousands place. My tens place is the number of vowels in English alphabet
Answer:
73554
IM sorry if this is not the correct answer, it is very hard to understand
(っ◔◡◔)っ ♥ Hope It Helps ♥
plz help for points 7th grade math
Answer:
1. 5/6
2. 8 outta 10
3. 60%
4. 0.37
5. 20%
Step-by-step explanation:
hope this helps!
Answer:
1. 20%
2. 0.37
3. 60%
4. 8 out of 10
5. [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Percentages are just dividing by 100 because all percentages must equal up to 100 such, as 50% and 50% (50+50=100) or 60% and 40% (60+40=100)
So divide the percentage ( basically just the number not, the %) by 100. 20(%)÷ 100 = 0.2 (take out the % when you do it). 60 ÷ 100 = 0.6
8 out of 10 is 8 ÷ 10 (0.8) if. it was 10 out of 8. it would look like [tex]\frac{10}{8}[/tex] which you can divide and get 1.2 because the line above the 8 means divide.
and [tex]\frac{5}{6}[/tex] is what i just explained above ↑ divide 5 and 6, which is .83 (it is .8333333333 to infinity and beyond, but I just said 3 because dont have that line)
now that you have everything in decimals. Sort them!
0.2 (20%)
0.6(60%)
0.37
0.8 (8 out of 10)
5/6 (0.83)
(↑ not the right answer the one in the answer box is.)
A plane is at cruising altitude of 10,200 feet. If the angle of depression to the run way is 18 degrees, what is the distance, to the nearest foot, from the plane to the run way
Answer: [tex]33,007.9\ ft[/tex]
Step-by-step explanation:
Given
The plane is cruising at an altitude of [tex]h=10,200\ ft[/tex]
The angle of depression is [tex]\theta=18^{\circ}[/tex]
Suppose the distance of the plane to the runway is x
from figure
[tex]\Rightarrow \sin 18^{\circ}=\dfrac{h}{x}\\\\\Rightarrow \sin 18^{\circ}=\dfrac{10,200}{x}\\\\\Rightarrow x=33,007.9\ ft[/tex]
Jack rides his bicycle 4 miles in 30 minutes. If he maintains this rate, how far will he ride in 3 hours?
A 12 miles12 miles
B 24 miles24 miles
C 34 miles34 miles
D 240 miles
Answer:B
Step-by-step explanation:
4 miles = 30 minutes
8 miles = 1 hour
24 miles = 3 hours
Can someone help me please?
Answer:
Your answer would be 15.
Step-by-step explanation:
John tosses a coin 50 times, and it lands on heads 27 times and tails 23 times. What is the relative frequency if landing on heads?
A. 27
B. 46
C. 50
D. 54
......................
4 x4 x4 x5 x5
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4\times4\times 4\times5\times5}[/tex]
[tex]\mathsf{4\times4 = \bf 16}[/tex]
[tex]\mathsf{\bold{16} \times 4\times 5\times 5}[/tex]
[tex]\mathsf{16\times4 = \bf 64}[/tex]
[tex]\mathsf{\bold{64}\times5\times5 }[/tex]
[tex]\mathsf{64\times5 = \bf 320}[/tex]
[tex]\mathsf{\bold{320}\times5}[/tex]
[tex]\mathsf{= \bf 1,600}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\huge \bf 1,600}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the
vertex of this
quadratic.
Answer:
(-3, 0)Step-by-step explanation:
As per the graph the vertex, the maximum of the quadratic function is (-3, 0)
what is the exponential equation
Find the smallest side of CDE?
Coach Jill brought 28 L 28 L28, start text, space, L, end text of sports drink to the soccer game. She divided the sports drink equally between 7 77 coolers.
Complete question :
Coach Jill brought 28 L of sports drink to the soccer game. She divided the sports drink equally between 7 coolers.
How many milliliters of sports drink did Coach Jill put in each cooler?
Answer:
4000 milliliters
Step-by-step explanation:
Total Litres of drink purchased = 28 L
Number of coolers in which drink was divided equally = 7
Hence, number of litres per cooler ;
Total litres of drink / number of coolers
28 L / 7
= 4 L. Per cooler
Recall:
1000 milliliters = 1 L
Hence, 4 L = (4 * 1000) = 4000 milliliters
What’s the answer to the question -7x + 15 = 36
Answer:
x= -3
Step-by-step explanation:
-7x +15 - 15 = 36 - 15
-7x = 21
-7x ÷ -7 = 21 ÷ -7
x= -3
Answer:
Um.....
-3
Sorry if calculated wrong..
I have a discussion due I need at least a few sentences explaining "What would you do first: distribute a coefficient over every term in parentheses or combine like terms in parentheses? Why?"
Answer:
The first thing you ever do when simplifying an expression is distributing the coefficient. For example the expression 3(5x+6+4x) The first thing we would do is distribute the 3 into each value in the parantheses. It would make sense to add the 4x and 5x, but that goes out of order. This is just the rules when it comes to follwing distributive property in it's simplest form.