2. A high school wants to double the size of its parking lot by expanding the existing lot as
shown below. By what distance should the lot be expanded?
x ft
kin
75ft
old parking lot
165ft
school
300 Ft
75 ft xft
Answers
The parking lot is located along the front and one side of the school
building.
The distance x with which the lot should be expanded is 60 feet.Reasons:
The given dimensions in the compound are;
Length of the school and the old parking lot = 300 + 75
Width of the school and the old parking lot = 165 + 75
Length of the school, the old and new parking lot = 300 + 75 + x
Width of the school and the old and new parking lot = 165 + 75 + x
Area of the new parking lot the school wants = Double the old parking lot
In terms of areas, we have;
New compound - School = 2 × (old compound - school)
Which gives;
(300 + 75 + x) × (165 + 75 + x) - 300 × 165 = 2 × ((300 + 75) × (165 + 75) - 300 × 165)
2 × (375 × 240 - 49,500) = (375 + x) × (240 + x) - 49,500
Simplifying gives;
81,000 = x² + 615·x + 40,500
x² + 615·x + 40,500 - 81,000 = 0
x² + 615·x - 40,500 = 0
Factorizing with a graphing calculator gives;
(x - 60)·(x + 675) = 0
Therefore;
x = 60 or x = -675
Given that x is a natural number, we have, the correct value is; x = 60;
The distance with which the lot should be expanded, x = 60 feet.
Learn more about writing equations here:
https://brainly.com/question/20475360
https://brainly.com/question/7107994
Related Questions
heeeeeelllllppppppp please
Answers
Answer: D. <Q ≅ <T
Step-by-step explanation:
This satisfies the ASA Congruency Theorem.
determine the intercepts of the line
Answers
Answer:
x-intercepts(-7,0)
y-intercepts(0,-2)
Step-by-step explanation:
Step-by-step explanation:
The x-intercept is (-7,0)
The y-intercept is (0,2)
Whats the answer to these questions?
Answers
Answer:
answer is attached
1.
How fast is the area of a square increasing when
the side is 3 m in length and growing at a rate of
0.8 m/min?
A. 4.8 m2 /min
B. 1.875 m²/min
C. 3.25 m2 /min
D. 5.5 m² /min
Answers
Using implicit differentiation, it is found that the area of the square is increasing at a rate of:
A. 4.8 m²/minThe area of a square of side length l is given by:
[tex]A = l^2[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dA}{dt} = 2l\frac{dl}{dt}[/tex]
The side is 3 m in length, hence [tex]l = 3[/tex].Growing at a rate of 0.8 m/min, hence [tex]\frac{dl}{dt} = 0.8[/tex]Then:
[tex]\frac{dA}{dt} = 2l\frac{dl}{dt} = 2(3)(0.8) = 4.8[/tex]
Hence, option A is correct.
To learn more about implicit differentiation, you can take a look at https://brainly.com/question/25608353
do you use multiplication at all when solving for x
Answers
In right triangle ABC, m∠B ≠ m∠C. Let sin B = r and cos B = s. What is sin C – cos C?
Answers
==================================================
Explanation:
We'll need these trig ratios
sine = opposite/hypotenusecosine = adjacent/hypotenuseRefer to the diagram below.
sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.
cos(B) = s = s/1 means the adjacent side to angle B is of length s
sides r and s are the two legs of the right triangle.
----------
From that diagram, we can then say:
sin(angle) = opposite/hypotenuse
sin(C) = s/1
sin(C) = s
This is identical to cos(B). We can say cos(B) = sin(C)
Also, we can say:
cos(angle) = adjacent/hypotenuse
cos(C) = r/1
cos(C) = r
So cos(C) = sin(B)
This works because B+C = 90
----------
So,
sin(C) - cos(C) = cos(B) - sin(B) = s - r
need help with algerba 2
Answers
F(4)4 is the x value 4. Find where the line is on th y axis at x = 4
The dot is between 60 and 70 so the answer would be 64
Answer: D. 64
Answer:
the answer is d
Step-by-step explanation:
if you look on the graph where the x-value equals 4, the y-value of that point is your answer and d is the only value in that range
Please I need help on this math question?
Answers
What is the domain? (Type your answer with commas and no spaces)
Answers
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
Step-by-step explanation:
Help Ill give 100 points!
Answers
Answer:
0, 1, 1/2
Step-by-step explanation:
First you would have to make them have the same denominators.
The lowest one they share is 24.
What ever you do to the bottom you have to do to the bottom.
1/6, times each by 4.
1 * 4 = 4
6 * 4 = 24
4/24.
Now you have to do the same thnig for 5/8.
But times it by 3, since 8 times 3 is 24.
5 * 3 = 15
8 * 3 = 24
15/24
Now subtract.
15 - 4 = 11/24
the difference is close to one half.
4/24 = 1/6 is close to 0.
15/24 = 5/8 is close to 1.
Answer:
i need the points
Step-by-step explanation:
PLEASE HELP ME!!!
Will give Brainlest
Answers
Answer: C. (1, 0.80) represents the unit rate
Step-by-step explanation:
Please attach all answer options.
Q.
10! (Factorial)
note : Don't be bullied, I'm not beautiful:v
Answers
Answer:
The value of factorial of 10 is 3628800,
i.e. 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3628800.
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex]10! \: = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times\\ 3 \times 2 \times 1 =3628800 \\ [/tex]
The \: value of factorial of 10 is , i.e. 10!= 3628800please help me!
ty :)
Answers
Answer:
slope: -4
Step-by-step explanation:
the formula to finding slope using two points is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
so insert the x- and y- values into the formula. you'll get:
[tex]m=\frac{-11-9}{3-(-2)}=\frac{-20}{5}=-4[/tex]
I need help solving for X
1.5x - 4 > 2
Answers
Answer:
x<4
Step-by-step explanation:
The sum of Ellie's age and Genya's age is 60. In sex years, Genya will be eight times older than Ellie will be. How old is Ellie now?
Answers
Answer:
ellie is 2 and genya is 58, explanation in picture attached
aaaaaaaaaaaaaaaaaaaa
Answers
Answer:
what grade are you??..........
What is the value of X?
Answers
i think the answer is 8
bc the small one is 4 and the big one is 6
and the other one is 6 so it must be 8
(Exit
Topic 3: Assessment Form C
Hugo's exercise data is shown. Use the trend line y = 3.5x + 10 to complete the sentence.
Laps
7 8 9 10 11
Time (min)
35.5
37
41.5
45
49.5
It will take Hugo about
min to run 6 laps
Answers
Answer:
35.5
Step-by-step explanation:
can you guys help with at least one of these two? Thanks!
Answers
Answer:
1) B. -2 hours per person
2) C. 3.60 per pound
Step-by-step explanation:
1)
We can make a slope triangle connecting the points (4, 12) and (10,0)
We get -12/6, or -2 as our slope & final answer
2)
You can do x/y to find the unit rate for this one, or in this case 18/5 = 3.6
Answer the ones you want to. Answer at least one.
Have no idea how to do this. Please help I beg you.
Answers
Answer:
i don't understand 5, 8, 9, or 10.. I'm sorry...
6. A. With each one (1,2,3) the pattern increases by 3 dots each time
B. the fourth pattern would be 4 rows of 3 (look at picture below)
7. The pattern adds 2 squares, one on the left and one on the right side
Step-by-step explanation:
so... a conjecture is basically like an educated guess.. so ye :)
PLEASE FILL IN BLANK I WILL MARK AS BRAINLIEST
Let f(2)=32 and g(x) = ID.
Use the composition of functions to determine if f(x) and g(2) are inverse functions.
Drag and drop the answers into the boxes to correctly complete each statement.
f(g(x)) =
()
9(f(x))
) =
The function f(x)
the inverse of g(x)
Answers
Answer:
[tex]\sqrt[3]{x}[/tex]
[tex]x^3[/tex]
is
Step-by-step explanation:
Which inequality represents this sentence?
A number is no more than 57. I NEED A ANSWER ASAP WHOEVER GIVES CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
x < 57
Step-by-step explanation:
Let f(x) = x − 2 and g(x) = x2 − 7x − 9. Find f(g(−1))
Answers
(-1)2-7(-1)-9=-4
(-4)-2=-6
it’s -6
how to write and express without exponents in standard form 5.1 X 104?
Answers
Answer:
156
1.56×10²
after you get your answer move the decimal however many spaces to where you only have one number before the decimal then you multiply it by 10 in your square root is however many times do you move the decimal
9_9_9_9=111
what are the signs?
Answers
Answer:
Step-by-step explanation:
im not sure and what do u mean by signs
Answer:
multiplie maybe i dont know what you mean-
Step-by-step explanation:
for everyone who answers this happy points
Answers
Answer:
im just answering because im doing a challenge.
Step-by-step explanation:
I need answers to both of the questions Please help
Answers
Answer:
131 minutes, an = 15 + (n - 1)(4)
Step-by-step explanation:
each time she is increasing by 4 minutes
we can write this equation like this since we have the difference and the first part:
an = 15 + (n - 1)(4)
note
"an" (or ace of n)'s n is in subscript and is written just like a superscript but on the bottom
we can plug in this equation to find ace of 30 (a30)
15 + (30 - 1)(4)
15 + 29*4
116 + 15
a30 = 131
Answer:
1.) 192 minutes
2.) If it's the 9th day : 69 minutes
If it's the 10th day : 64 minutes
Step-by-step explanation:
1.) 5th Day - 32 minutes
32*6= 192 minutes on the 30th day.
2.) If it's the 9th day -
3rd Day - 23 minutes
23*3= 69 minutes
2.)If it's the 10th day -
5th day - 32 minutes
32*2= 64 minutes
3x-6y=2 and 4x-6y=2 solve by substitution
Answers
first you have to choose one of the equations and isolate one of the variables
3x - 6y = 2
-6y = 2 - 3x
y = 2/-6 + 1/2
then you have to substitute it in the other equation
4x-6(2/-6 + 1/2) = 2
4x + 2 - 3 = 2
4x - 1 = 2
4x = 3
x = 3/4
after that you solve for y
3 (3/4) - 6y = 2
9/4 - 6y = 2
-6y= - 1/4
y= 24
THIS MAY NOT BE RIGHT BTW
Helpppp me please omg
Answers
the first graph looks right
What is the value of the sin each of the following 5607 506 702 803 562
Answers
Answer:
sin(5607) = 0.67641680533
sin(506) = -0.202179403335
sin(702) = -0.989367016834
sin(803) = -0.948263002181
sin(562) = 0.33827666045
Step-by-step explanation:
put sin into a calculator and then put in the number
hope this helps! :)
