Answers
9514 1404 393
Answer:
26.25 ft by 21 ft
Step-by-step explanation:
Let x represent the length of the set of pens along the side of the building. Then the fence remaining for the 5 partitions out from the building (2 ends + 3 partitions, all the same length) will be (210-x). Since each of those partitions is (210-x)/5, the overall area will be ...
A(x) = x(210-x)/5
This describes a downward-opening parabola with zeros at x=0 and x=210. The maximum area is on the line of symmetry, halfway between those zeros. The area is a maximum when x=210/2 = 105.
The horizontal dimension of each pen is (105 ft)/4 = 26.25 ft.
The dimension out from the building is (210 -105 ft)/5 = 21 ft.
The dimensions of each pen should be 26.25 feet wide and 21 feet out from the building.
Related Questions
Help me with this please
Answers
Step-by-step explanation:
The given expression is
Notice that this expression is the product of two powers, to rewrite it, we need to use the following property
Using this property, we have
The given expression is. Notice that this expression is the product of two powers, ...
Answer:
44/-4
Step-by-step explanation:
I NEED HELP PLEASE!!!
Answers
32. Ethan cycled from home for r km at 9 km/h to the MRT station. He waited for 3 minutes before catching
the next MRT train. The MRT train travelled at an average speed of 60 km/h. He walked for
2
km at an
Average speed of 6 km/h before reaching his school. The distance from his home to the school by the
above route is 12 km and the total time he spent is 28 minutes.
(Express, in terms of the time he spent cycling from home to the MRT station.
(ii) Find the distance he travelled on the MRT train.
(ii) Form an equation in and solve it.
Answers
Answer:
Ethan cycles from home for x km at 9km/h to the MRT station.
He waited for 3 mins before catching the next MRT train.
The MRT train travels at an average speed of 60km/h.
He walks for 1/2km at an average speed of 6km/h before reaching his school.
The distance from his home to the school by the above route is 12km and the total time he spent is 28 mins.
:
(i) Express, in terms of x, the time he spent cycling from home to the MRT station.
time = dist/speed
f(x) = x%2F9
:
(ii) Find the distance travelled by Ethan when he was travelling to school using the MRT
dist by train
d = 12 - x - .5
d = 11.5 - x
(iii) Form an equation in x and solve it.
Subtract the 3 min of waiting, change to hrs: 25/60 = 5%2F12
Write a time equation
bike time + train time + walk time = 5/12 hrs
x%2F9 + %28%2811.5-x%29%29%2F60 + .5%2F6 = 5%2F12
multiply by 180, resulting in
20x + 3(11.5-x) + 30(.5) = 15(5)
20x + 34.5 - 3x + 15 = 75
20x - 3x + 49.5 = 75
17x = 75 - 49.5
17x = 25.5
x = 25.5/17
x = 1.5 km by bike
:
You can confirm this yourself, find the time of each stage of the trip and
the total should be 5/12 hrs which .4167 hrs on a calc
HOPE IT HELP
The ratio of health club members who use trainers to those who do not
is 2:5. There are 342 members who use trainers. How many members
does the club have?
Answers
Answer:
Step-by-step explanation:
The anwser is 479 - 2:5 as a decimal is .4 , 342 x .4 is 126.8
342+126.8 = 178.8
round it and get 479
By using given ratio, Members does the club have are 1197.
What is ratio?"A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one."
We have,
Ratio of health club members who use trainers and who do not is 2:5.
Members who use trainers = 342
Members who does not use trainers
= [tex]\frac{342}{2}[/tex]×[tex]5[/tex]
= 171 × 5
= 855
Total members
= 855 + 342
= 1197
Hence, Members does the club have are 1197.
Learn more about ratio here
https://brainly.com/question/23499990
#SPJ2
Can someone help me? I’ll mark you!
Answers
Answer: B
Step-by-step explanation:
Uh... nothing much to say for this one. When you divide with fractions, you always flip the second number. 1/2 flipped is 2/1, or 2. So the final problem is 50x2, which is 100. And yeah, that's all I have to say...
Answer:
B. 50 * 2
Step-by-step explanation:
When there is a division sign and then you are having a fraction which also means dividing you will in the end just be multiplying. and we would be *2 because you were 1/2 and if you flip the fraction it = 2
Mr. Buchanan can clean his apartment in 12 hours. (He's not very fast.) With Mrs. Buchanan's help, they can clean the apartment in 4 hours. How long would it take Mrs. Buchanan to clean the apartment alone? Time=_____ Hours
Answers
Answer:
2 hours
Step-by-step explanation:
Answer:
2 hours
Step-by-step explanation:
38 x 97 help help help
Answers
Answer:
3686
Step-by-step explanation:
Jaxson is throwing a pizza party. He has 1\tfrac{1}{4}1 4 1 pounds of cheese available and he needs \tfrac{1}{8} 8 1 pound of cheese to make each pizza. How many pizzas can he make?
Answers
Answer:
10 pizzas
Step-by-step explanation:
Jaxson is throwing a pizza party. He has 1\tfrac{1}{4}1 4 1 pounds of cheese available and he needs \tfrac{1}{8} 8 1 pound of cheese to make each pizza. How many pizzas can he make?
We can interprete the above question as:
1/8 pounds of cheese = 1 pizza
1 1/4 pounds of cheese = x pizzas
Cross Multiply
1/8 × x = 1 1/4 × 1
x = 1 1/4 ÷ 1/8
x = 5/4 ÷ 1/8
x = 5/4 × 8/1
x = 10 pizzas
x = 10 pizzas
what is the value of x and y *don't simplify into decimal*
Answers
Answer:
x = 20
y = 20√2
Step-by-step explanation:
This is a 45 - 45 - 90° special right triangle
In a 45 - 45 - 90° triangle the legs are congruent and the hypotenuse = leg * √2
If one leg = 20 then the other leg also = 20
Thus, x = 20
If leg = 20
Then hypotenuse = 20 * √2 or 20√2
Thus, y = 20√2
? x 26= 17 7/8.
By: Britney
Answers
0.6875 times 26=17.875 or 17 7/8
Mukhtar bought an electronic gadgets for rs. 5000 . he paid tax of rs.200 on it and paid rs. 300 for its accessories. he sold it for rs. 6500. find his gain or loss percentage...
Answers
Answer:
18.18%
Step-by-step explanation:
when c.p is greater than s.p it is loss and when s.p is greater than c.p it is profit .
plz plz answer this 11pts:)
Answers
Answer: the answer is 3 in bigger than the three inch
Step-by-step explanation: 6 - 3 = 3in
(￣y▽,￣)╭
The question is in the attachment.
Please help out
Answers
Answer:
x= 4
Step-by-step explanation:
Intersecting Chords Formula:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
10*6 = 15*x
60 = 15x
Divide each side by 15
60/15 = 15x/15
4 =x
what is the plot 40,40 as a fraction
Answers
Answer:
1/2 or like 1/40
Step-by-step explanation:
A baker can make 25 cakes in 4 days. At this rate, how many cakes can he make in 7
days? State your answer as a simplified fraction
Answers
Answer:
7/16
Step-by-step explanation:
Answer:
193
Step-by-step explanation:
if they make 25 in 4 days it means they make 6.25 in 1 day but in 8 days they would make 200 so if you take 7 off of 200 you would get 193
Im not fully sure if its correct but i tried sorry if its wrong
PLEASE HELP!! NO LINKS!! GIVING 20 POINTS AWAY!!
Answers
Answer:
m∠N = 32°
NQ = 106°
When finding inscribed angles like ∠N with the intercepted arc, the equation is ∠N=1/2MP. (Inscribed angles are always half the degree of the arc length.) Plug in the corresponding value to get ∠N=1/2(64) to get 32°. When finding the angle of the intercepted arc with inscribed angles like NQ, the equation is NQ=2(∠P). Plug in the corresponding value to get 2(53) to get 106°.
What is the x-coordinate when the y-coordinate is 14?
Answers
Answer:
indeterminable, not enought info.
Step-by-step explanation:
A spinner has 10 equally sized sections, 6 of which are gray and 4 of which are blue. The spinner is spun twice. What is the probability that the first spin lands on blue and the second spin lands on gray?
Write your answer as a fraction in the simplest form.
If you can, please also explain how you got it!
Thanks!!
Answers
Answer:
Multiply the probabilities of the outcomes. 4/10*6/10 = 24/100 = 12/50 = 6/25.
The answer is 6/25.
Step-by-step explanation:
How I got my answer all you have to do is multiply the probabilities and you get 6/25.
What value of y makes the 2 triangles congruent by SSS?
Answers
Answer:
8
Step-by-step explanation:
2(8)+20=36
factorise completely x^3+6x^2+3x-10 pls answer asap
Answers
Answer:
(x-1)(x+2)(x+5)
Step-by-step explanation:
In his free time, Gary spends 8 hours per week on the Internet and 8 hours per week playing video games. If Gary has five hours of
free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
OA.
13%
OB
3%
OC.
46%
OD 32%
Answers
The number of miles one commutes to work is normally distributed with a mean of 11 and a standard deviation of 3. If Jason commutes 16 miles to work, find his z score.
Answers
Answer:
25 is the z score hope it help
Which measure of central tendency is the most appropriate to use to compare the most common women's running shoe colour purchased at a shoe store with the most common women's sandal colour purchased?
Answers
Answer:
The mode of the data sets
Step-by-step explanation:
The measure of central tendency is a value that aims to give the description of a data set by providing a pointer to the central position of the data set
The item under comparison = The most common women running shoe color and the most common women sandal color
The characteristics of the items under comparison = Color (nominal characteristic)
Therefore, the measure of central tendency will aim to show the frequency with which particular colors are worn, which is represented by the mode of the data set
I need answer immediately pls!!!!!
Answers
Explanation
15 people play at least one sport
6+14=20 people combined
20-15=5 people do both
The volume of a cone-shaped funnel is 603 cubic centimeters. The radius of the funnel is 8 centimeters. Find the height of the funnel. Round your answer to the nearest whole number.
Answers
Answer: 9
Step-by-step explanation:
Volume of cone formula is: pi r^2 h/3
So pi x 8^2 h/3 = 603
H/3 = 2.9991
h = 9 (rounded)
5 + x/2 =4 please help
Answers
Answer:
Step-by-step explanation:
x=3
Answer:
The answer is 3
Step-by-step explanation:
5 + x/2 = 4
5 + x = 2(4)
5 + x = 8
x + 5 – 5 = 8 – 5
x = 3
Thus, The answer is 3
-TheUnknownScientist 72
I have 28 marbles. If I divide the marbles into bags of 8 marbles, there will be 4 marbles left over.
How many bags of 8 marbles can I make?
Answers
Answer:
3 bags
Step-by-step explanation:
8 + 8 + 8 = 24. 28 - 24 = 4 (The 4 that are left over).
What are the x-intercepts of the parabola?
Answers
Answer:
(5,0) & (4,0)
Step-by-step explanation:
The x-intercepts are where the graph touches the x-axis. The parabola clearly touches in the x-axis at points 4 and 5.
Answer:
(5,0) and (4,0)
Step-by-step explanation:
Which expression represents the product of q and 8, divided by 4?
(q + 8) ÷ 4
(q x 8) ÷ 4
(q x 4) ÷ 8
q + 8 - 4
Answers
When a kite is 22 m above the ground, it makes an angle of 43° with the horizontal. How much string was released? *
Answers
Answer:
The length of string = 32.35 meter (Approx.)
Step-by-step explanation:
Given:
Vertical height of kite = 22 meter
Angle with horizontal = 43°
Find:
The length of string
Computation:
Using trigonometry function;
Vertical height of kite [Perpendicular] = 22 meter
The length of string[Hypotenuse]
Sin θ = Perpendicular / Hypotenuse
Sin 43 = 22 / Hypotenuse
0.68 = 22 / Hypotenuse
Hypotenuse = 22 / 0.68
Hypotenuse = 32.35 meter
The length of string = 32.35 meter (Approx.)