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
A statue casts a shadow that is 9 ft long. A boy that is 4 ft tall casts a shadow that is 6 ft long. How tall is the statue?
Answer:
6 feet tall.
Step-by-step explanation:
The boy is 4 ft tall, but he casts a 6 ft long shadow. You need to find how long a shadow would be if a person/thing was just 1 ft tall.
To do this, you would need to divide 4 by 4, and 6 by 4 as well.
6/4 is 1.5, or 1 and a half.
If a person (or a thing) is 1 foot tall, the statue will cast 1 and a half feet long shadow.
The statue casts a 9 ft long shadow.
Since we already figured out 1 ft = 1 and 1/2 ft shadow, and since the statue casts a 9 foot long shadow, you need to divide 9 by 1.5.
(You'll get 6.)
This means that the statue is 6 feet tall, and it casts a 9 foot long shadow.
TRIG HELP NEED TO FIND C IS IT NOT ALT ANGLES?????
[tex]c+20=55\\c=55-20\\c=35[/tex]
If you are given a 16 sided dice. What is the
probability that you get a number less than or
equal to 5?
Answer:
numbers less than 5 are 1,2,3,4 and equal to 5 is 5.
probability of less than 5 is 4/16
while equal to 5 is 1/16
or means additions; so its 4/16 +1/16=5/16
A neighborhood in Shiloh is building a treehouse. It has a rectangle floor of 6 ft by 4 ft. What is the area of the tree house floor?
Answer:
24
Step-by-step explanation:
Shiloh is building a tree house
It's measurement is 6ft by 4ft
Therefore the area can be calculated as follows
= 6×4
= 24
Hence the area of the rectangle is 24
A hawk is flying 130 meters up in the sky and spots a rodent on the ground at a 20
degree angle of depression. To the nearest meter, what is the horizontal distance
between the hawk and the rodent?
Answer:
arc length d = ∫ √(1 + (dy/dx)²) dx
y = 228 - x²/57
dy/dx = -2x / 57
(dy/dx)² = (2x/57)²
Upper limit for integration:
y = 0 = 228 - x²/57
yields x = 114
d = ∫ √(1 + (2x/57)²) dx for 0 ≤ x ≤ 114 = 264.9 m
Step-by-step explanation:
A bakery offered a coupon for its catering services. The cost before the coupon was $42.50, and the cost after the coupon was applied was $37.50. Which of the following could be the function equation for this situation?
y = 5/x
y = x/5
y = x + 5
y = x – 5
Answer:
The answer of the function is y=x-5
Write 4^3 using repeated multiplication. Then find the value of 4^3
solve for x round to your nearest tenth
Answer:
x ≈ 5.98Steps:
tan(50.1°) = x/5
1.19.. = x/5
x = 5 × 1.19 ..
x = 5.97.. ≈ 5.98
Ms. Reynolds is asking students to find
the volume of the rectangular pyramid
below. Which student wrote the
correct expression for the value of B,
the area of the base ?
Peter: 5•13
Thelma: 1/3 (13•12)
The jaguar is a top predator that helps to regulate other population in the rainforest. It produces waste that are broken down to nutrients by decomposers. Microorganisms live in its fur and it may also be home to some parasites. This description describes the jaguar's __________ ?
A. Habitat
B. Niche
C. Awesome ninja-like skills
D. Trophic Level
Answer: B. Niche
Explanation:
Definition of niche: a niche is the match of a species to a specific environmental condition. It describes how an organism or population responds to the distribution of resources and competitors and how it in turn alters those same factors.
Answer: Niche
Niche is basically like a type of place of something or someone
1/4 of my shirts are red, the rest are blue. Show the ratio of red to blue shirts
Answer:
1:3 red to blue
Step-by-step explanation:
you have x shirts. Let's call the number of red shirts r and the number of blue shirts b.
r = x * 1/4
b = x - r = x - (x * 1/4) = x * 3/4
r:b = (x * 1/4):(x * 3/4) = (1/4):(3/4) = 1:3
(PLEASE HELP ME ASAP)
Write down a number that has a value less than |4.7|
Answer:
4.6
Step-by-step explanation:
3.. litteraly anything less than that
Answer:
0
Step-by-step explanation:
|4.7| = 4.7
Any number less than a positive 4.7 is less than |4.7|.
What is debt-to-income ratio and how do you figure it out?
Joe, Josie and Bob has $35 when they put their money together. Joe has half as much as Josie. Bob has four times as much money as Joe. How much money does Josie have?
Answer: $10
Step-by-step explanation:
Let Josie's money be x
Since Joe has half as much as Josie. Joe's money will be: x/2 = 0.5x
Bob has four times as much money as Joe. Bob's money will be = (4 × 0.5x) = 2x
Therefore, we add all the amount together and equate to $35. This will be:
x + 0.5x + 2x = 35
3.5x = 35
x = 35/3.5
x = 10
Josie has $10
Triangle ABC was reflected across an axis.
A. State what axis it was reflected across
B. Give the ordered pairs of the reflected triangle
What is the measure of the other acute angle ?
Answer:
58
Step-by-step explanation:
Answer: 58°
Step-by-step explanation:
We know it's a right triangle, one of them must be 90°. The sum of the three interior angles are 180°, so we know the sum of the other two angles is 180 - 90 = 90°.
If one of the angles is 32°, another angle is 90 - 32 = 58°
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Only the mean increased.
Step-by-step explanation:
The mean is the total divided by the number of scores, and since adding 21 will increase the total score significantly, the mean increases.
The median is still 7.
please help___________
Explain how g is 62 degrees using angle theorem. Ex supplementary angle theorem, ASTT. Etc
Answer:
The exterior angle is 35° + 62° = 97°
And 97° > 35°
And 97° > 62°
Step-by-step explanation:
Answer:
pppop-
That’s what u get
Step-by-step explanation:
A scientist is studying the effect of rainfall on the height of a certain species of sunflower. The scatter plots shows the results.
Answer:answer is d
Step-by-step explanation:
I have done the test
Best disc and answer will get BRAINLIEST
Answer:
A is the answer
Step-by-step explanation:
All you have to do is follow the order pair such as 2, 100 and see if that is a correct pair.
Hope that helps
Answer: A. (2, 100)
Step-by-step explanation:
Does the nature of the data allow you describe the difference of the two medians as a multiple of the interquartile range? If so, what is the multiple?
Answer:
1/3
Step-by-step explanation:
From the figure, we know that the median of Amy is 40 and the median of Megan is 35.
Therefore the difference in their medians is = 40 - 35
= 5
We see that Q1 of Megan is 25 and Q3 is 40. Therefore, her interquartile range is given by Q3 - Q1 = 40 - 25
= 15
So, the difference of the medians is the multiple of the interquartile range.
So the multiple is = 5/15
= 1/3 (IQR of Megan)
Answer:
Yes, I can describe the difference of the two medians as a multiple of the interquartile range as shown below.
Step-by-step explanation:
The difference of the medians for the two data sets is 69 − 60 = 9. The interquartile ranges for the data sets are 9 ounces and 8 ounces.
This shows that the difference of the medians is about 1 times, or nearly equal to, the interquartile range of either data set.
For Genivieve, the multiple is 1:
9 = m(9)
m = 1
For Mindy, the multiple is 1.125:
9 = m(8)
m = 1.125
(This is the answer on edumentum)
Best method to solve y=-3x+4 y = 3x-2
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 1 , 1 )
Equation Form:
x = 1 , y = 1
What is the product of 2x + 3 and 4x^2 - 5x + 6
Answer:
8
x
3
+
2
x
2
−
3
x
+
18
Step-by-step explanation:
simply the answer thought bc i didn't simplify
i really need help so can you plz help meeee
Answer:
5/11 is 0.4555555555555555555555555
so basically the first option out of the two.
U do know you can just calculate this with the calculator right?
Need someones help on this!
Answer:
x^3
Step-by-step explanation:
quotient property of exponents
I think the answer is c. x^3
can anyone expand and simply this for me (3x +2)(2x-5) ?
Answer: 5x-3
Step-by-step explanation:
3x+ 2x +2-5
5x -3
the cost of a catering prom is 250 plus $15 for each person attending. what is the cost of 150 people?
Answer:
$2500
Step-by-step explanation:
First, multiply the $15 for the 150 people attending, to get 2250. Next, add the last $250 to get a total cost of $2500
Hopefully this helps- let me know if you have any questions!
Answer:
i think it is 2500
Step-by-step explanation:
take 15 times the amount of people. then add the 250 fee
Find m QRS? who can help me?
Answer:
m<PRS+m<PRQ=m<QRS.
17 + 17 = 34
m<QRS=34
F(-3)=11 and f(4)=55 find value of f(-1)
11(4)=55
44=55
f=55÷44
f=1.25(-3)
-3.75