Answer:
Step-by-step explanation:
Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.
120 = L + 2W
Where
LW = area.
Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60
On substituting, we have
A = LW = (120 - 2W) W
From the first equation, making L the subject of the formula, we have this
L = 120 - 2W, which then we substituted above.
On simplification, we have
L = 120W -2W²
Differentiating, we have
A' = 120 - 4W = 0
Remember that W = 30
So therefore, L = 120 - 2(30) = 60 feet
The required length of the rectangular garden is 60 feet
Area of rectangular shapeAccording to the question, the school uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides.
Substitute into the perimeter of the rectangle will give:
120 = L + 2W
Area = LW
In order to maximize the area with the given fencing, from the equation written above, then w = 30 feet and l = 60
On substituting, we have;
A = LW = (120 - 2W) W
L = 120 - 2W,
On simplification, we have
L = 120W -2W²
Differentiating, we have
A' = 120 - 4W = 0
Remember that W = 30
So therefore, L = 120 - 2(30) = 60 feet
Hence the required length of the rectangular garden is 60 feet
Learn more on area of rectangular garden here: https://brainly.com/question/386401
1. What is ✓ 48 in simplified radical form?
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{48}[/tex]
= [tex]\sqrt{16(3)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]
= 4[tex]\sqrt{3}[/tex]
plzzzz help mark brainiest plus 20 points
:)
Answer:
I think its D. If not then it's A. I'm sorry if I get it wrong
Jamie was surveying students about their use of the new science lab in a school. Which question in the survey is a statistical question?
Complete Question is:
Jamie was surveying students about their use of the new computer lab in a school. Which question in the survey is a STATISTICAL QUESTION?
A.) How qualified is the trainer at the computer lab?
B.) Where is the computer lab located in the school?
C.) What is the number of learning stations at the computer lab?
D.) How many class projects did you complete using the computer lab?
Answer:
D.) How many class projects did you complete using the computer lab?
The answer is D because the question is directly related to the use of their new computer lab and the number of projects the students have completed in the computer lab. This is directly related to the survey since it is carried out for the students using computer lab.
Which us better a 12oz for $0.85 or a 8oz for $0.50
Answer:
Step-by-step explanation:
12 oz is better
HELPPP WILL MARK BRAINLIEST!!!!!!
Answer:
15 by 2
Step-by-step explanation:
15 cubes in each layer with 2 layers
Answer:
Cubes in each layer: 15
Number of layers: 2
Volume : 30 cm^3
Step-by-step explanation:
find the radius of the congruent circles. Thanks and hope you have a good rest of your day!!
Answer:
the radius is 10 since 10 plus ten is 20
What is the length of cloth needed to make 24 shirts if each shirt is made from .75 yards of material?
18 yds.
B
23.25 yds.
с
32 yds.
D
51 yds
Answer:
18
Step-by-step explanation:
24*0.74 = 18
match the answer to the equation
1: no solution
2: infinitely many solutions
3: one solution
99999 help me plz plz plz plz
Answer:
hi
Step-by-step explanation:
i think 10 in
hope it helps
Answer:
10
Step-by-step explanation:
The triangles are the same size, and if you look at the picture, you can see that MN and QR are the same, making QR 10 in.
Which is the cosine ratio of ∠A?
ACB is right angle triangle. The length of AC is 28, the length of CB is 195, and the length of AB is 197.
A. 195197
B. 28197
C. 28195
D. 19528
Answer:
d . 19528
Step-by-step explanation:
maaf jika salah
A state of Maine drivers license has a unique ID for each individual that is 7 digits.
How many possible ID's are available in Maine?
What is -a⁻² if a = -5?
Answer:
25
Step-by-step explanation:
First, plug -5 in for a, -(-5)^2. We treat the negative on the outside of the paranthese as a -1 so we do -1 times -5 and we get 5. Then we square 5 and get 25.
Sam just purchased a new car. After his employee discount and the sale that the dealership applied to the original
price, Sam paid $13,734.60. If Sam's employee discount was applied to the original price after the dealer discount,
then determine the original price of the vehicle given that the employee discount was 8% and the dealership
discount was 25%. Round your answer to the nearest cent.
a $20,375.21
c. $19,250.13
b. $18,350.33
d. $19,905.22
Answer:
D 19,905
Step-by-step explanation:
19,905.22×25%=4976.31
19905.22-4976.31=14,928.91
14928.91×8%=1194.31
14928.91-1194.31=13734.6
A cylindrical tank holds 352 cu. ft. of water. The height of the tank is 7 ft. Find the
radius of the tank.
pls help me thx and show your work
Answer:
0.3334 ft
Step-by-step explanation:
Measure the height and radius of the tank. The radius is the distance from the center of the tank to its outer edge. Another way to find the radius is to divide the diameter, or width, by two. Square the radius by multiplying the radius times itself and then multiply it by 3.1416, which is the constant pi.
Given height and volume: r = √(V / (π * h)),Given height and lateral area: r = A_l / (2 * π * h),Given height and total area: r = (√(h² + 2 * A / π) - h) / 2,Given height and diagonal: r = √(h² + d²) / 2,Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2),Given volume and lateral area: r = 2 * V / A_l,Given base area: r = √(A_b / (2 * π)),Given lateral area and total area: r = √((A - A_l) / (2 * π)).Help please please help help please help!!!
Answer:
standard
Step-by-step explanation:
What is the area of this
Answer:
area of trapezoid = 1/2×(a+b)×height
area of trapezoid =1/2×(15m+7m)×7m
area of trapezoid =1/2×22m×7
area of trapezoid =77m²
area of trapezoid =1/2×(a+b)×height
area of trapezoid =1/2×(9ft+12ft)×4ft
area of trapezoid =1/2×21ft×4ft
area of trapezoid =42ft²
QUESTION 45
What is the value of x?
3x
Answer:
1/67
Step-by-step explanation:
Complete question
If X+2/3x is equal to 45. find the value of x
Given the equation
x+2/3x = 45
Cross multiply
x+2 = 3x(45)
x+2 = 135x
x - 135x = -2
-134x = -2
x = 2/134
x = 1/67
Hence the value of x is 1/67
i need help please and thanks
Answer:
[tex]48cm^{2}[/tex]
Step-by-step explanation:
Split the shape up into two rectangles
(1) rectangle would be 2 x 10 = 20
(2) rectangle would be 4 x 7 = 28
Add them up = [tex]48cm^{2}[/tex]
Find the distance between the two points (-4,1) (4,5)
What Is The Improper fraction for 6/7 and 4/5
Answer:
11 upon 4 is your 6 upon 4 answer
how do i find a unit rate
Answer:
numerator divided by denominator
Step-by-step explanation:
Use the distributive property to simplify the following expression: 3 (2 + 5z.)
Answer:
6+15z
Step-by-step explanation:
We multiply 3 to 2+5z. So, (3x2)+(3x5z)
Which Angle has a corresponding angle of angle 6
Answer:
lines l and m are not parallel so the only angle we can say with certainty that has the same measure as angle 6 is angle 8 because they are vertical angles
Step-by-step explanation:
f(x)=x^2. what is g(x)
a. g(x)=4x^2
b. g(x)=1/4x^2
c. g(x)=(4x)^2
d. g(x)=16x^2
Answer:
Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...
i
Step-by-step explanation:
A large jar contains 500 marbles. All of the marbles in the jar are either blue or yellow, and there are 3 times as many blue marbles as yellow marbles. Which equation can be solved to find the number of yellow marbles in the jar?
Answer:
The equation to solve to find the number of yellow marbles =
3y + y = 500
4y = 500
The number of yellow marbles = 125
Step-by-step explanation:
Let the number of
Blue marbles = x
Yellow marbles = y
A large jar contains 500 marbles.
x + y = 500
All of the marbles in the jar are either blue or yellow, and there are 3 times as many blue marbles as yellow marbles.
3y = x
Hence, we substitute 3y for ymx in the above equation
3y + y = 500
4y = 500
y = 500/4
y = 125
The number of yellow marbles = 125
Which of the following figures has a length, width, and height?
A. Square
B. Line segment
C. Point
D. Pyramid
Answer:
I believe
D. Pyramid
Is the answer I did it in 6th or 7th grade
Step-by-step explanation:
Square is flat so no height.
Line segment is a flat line so no height
point is a literal dot
pyramid is a 3d figure so it would have all of the attributes
We both helped right?
Answer:
Pyramid
Step-by-step explanation:
Square is flat so no height.
Line segment is a flat line so no height
point is a literal dot
pyramid is a 3d figure so it would ahve all of the attributes
A video game regularly costs $29.95 is on sale for 15% off. About how much is the sale price of the game is you include 8% sales tax?
Answer:
$27.50
Step-by-step explanation:
First, find the cost with the 15% off sale
29.95(0.85)
= 25.46
Find the price with the sales tax:
25.46(1.08)
= 27.5
So, the sale price of the game with tax is approximately $27.50
what's the ratio of 0.9?
Answer:
[tex] \frac{9}{10} = 0.9[/tex]
5. What might be the dimensions of a
cylindrical container that holds 750 mL
of juice?
Answer:
radius of 10.9254843 and height of 10.9254843
Step-by-step explanation:
The equation for the volume of a cylinder is V = 2 pi r h
If V (volume) = 750, find for r and h
(I'm just going to make the radius and height the same thing)
750 = 2 pi r r
375 = pi r^2
119.366207 = r^2
10.9254843 = r
What is the value of 3^2? (3^2 means 3 raised to the second power.)
Answer:
9
Step-by-step explanation:
