We are going to fence in a rectangular field that encloses 75 ft2. Determine the dimensions of the field that will require the least amount of fencing material to be used.
Answer:
For width W and length L, we have:
W = L = √(75ft^2) = 8.66ft
Step-by-step explanation:
For a rectangle of length L and width W, the area is:
A = L*W
and the perimeter is:
P = 2*L + 2*W
First, we know that the area of our rectangle is:
A = 75ft^2 = L*W
And we want to minimize the perimeter of our rectangle, then we need to minimize:
P = 2*L + 2*W
From the equation:
75ft^2 = L*W
We can isolate one of the variables, let's isolate L
L = (75ft^2)/W
We could replace this in the perimeter equation:
P(W) = 2*( (75ft^2)/W) + 2*W
P(W) = (150 ft^2)/W + 2*W
To find the minimum of the perimeter we need to look at the zero of the first derivative of P(W).
P'(W) = dP(W)/dW = -(150ft^2)/W^2 + 2
Now we need to find the value of W such that:
P'(W) = 0
0 = -(150ft^2)/W^2 + 2
(150 ft^2)/W^2 = 2
(150ft^2) = 2*W^2
(150ft^2)/2 = W^2
75 ft^2 = W^2
√(75ft^2) = W = 8.66ft
And remember that:
L = (75ft^2)/W
replacing with W = √(75ft^2)
L = (75ft^2)/√(75ft^2) = √(75ft^2)
Then:
W = L = √(75ft^2) = 8.66ft
find the volume of the composite figure
39in³ is a required volume.
Solution given:
for upper one
length[l]=8in
breadth[b] =3in
height[h]=1in
now
volume [V1]=l×b×h=8×3×1=24in³
again for lower one:
length[l]=6-1=5in
breadth[b] =3in
height[h]=1in
volume [V2]=l×b×h=5×3×1=15in³
Again
total volume =V1+V2=24in³+15in³=39in³
someone please please help me with this ! I would really appreciate it
Answer:
1. The right triangles pass the AA similarity congruence theorem.
2. s/q
Step-by-step explanation:
They are similar since they pass the AA( Angle-Angle) similarity theorem.
Similar triangles have corresponding proportional sides so side z corresponds with side s and side x corresponds with q so we would represent that as
s/q
f(x)= 3x - 5x + 2x – 3
heyyyyyyy besties um if someone wants to help me that would be great ‼️
Answer: constant
Step-by-step explanation:
Hope this help!
please help solve for x step by step ASAP!
Answer:
x=26
Step-by-step explanation:
the angle is a right angle so
90-37= 53
53-1=51
52/2= 26 thats x?
if you dont understand i can still describe more
HELP! Please!! Juan borrowed 12,00 from his friend eduardo and made an agreement to play him back over 2 years at an annual simple interest of 4% what is the total amount he will pay his friend back over the 2 years
Answer:
$12,960.00
Step-by-step explanation:
Use the formula A = P (1+rt)
A = (12000)(1+(0.04x2))
A = $12,960.00
Answer:
if the initial amount is 1200 then the answer is 1296
if the initial amount is 12000 then the answer is 12960
the initial number was unclear with the placement of the comma
Step-by-step explanation:
A map has a scale of 2 in. = 16 mi. If you measured the distance between two cities to be 19 in. on the map, how many miles would it actually be?
Answer:
Step-by-step explanation:
2 in/16mi = 19 in/x mi
152 mi
Answer:
16 miles = x miles
(1/2) inch 2 3/4 inches
x = (11/4) * 16 = (11/4) * 2 * 16 = 88 miles
(1/2)
Step-by-step explanation:
As was the case in your previous question, this problem involves setting two ratios equal to each other. We call such an equation a proportion.
I need help with both of these if you know any of them them helppp me pls will give 20 points
Answer:
1) B. similar
2) D. (4, 2)
Step-by-step explanation:
1)
When a figure is dilated, the shapes will be similar. Reflected is another transformation so that's wrong. Same size and congruent is wrong since that would have to make the dilated size equal which can't since it's contradicting.
2)
B: (4, -2)
Reflection across the x-axis:
(x, y) → (x, -y)
(4, -2) → (x, -y)
(4, 2)
solve and graph the inequality below
Answer:
x<15
Step-by-step explanation:
4x + 21 < 17
PLS HELP ME MATES <3
Answer:
x < -1
Step-by-step explanation:
Give Brainllest plz mate
Answer:
x < -1
Step-by-step explanation:
subtract 21 from 17
divide on both sides by 4
sorry if this isn't what you're asking
please help me NOW, I have a MIN LEFT HURRY
Numbers are too small to see gosh dammit
finna tells her friend to follow the steps shown which choice best explains why each friend end up with their staring number
Find the length and surface area.
Width = 2
Height = 12
Volume = 240
Answer:
Length: 10
Surface Area: 20
Step-by-step explanation:
Length:
2*12=24
240/24=10
Surface Area:
2*10=20
Dominic spent $8 on a book. He made $6 doing chores for a neighbor. What numbers represent the situations?
–8 and –6
–8 and 6
8 and –6
8 and 6
Answer:
-8 and 6
Step-by-step explanation:
Plz help im being timed
Lyndia buys peanut butter in bulk for $0.20 an ounce. How much does 18 ounces of the peanut butter cost?
Answer:
I believe the answer is $3.60
Step-by-step explanation:
Answer:
3.60 dollars
Step-by-step explanation:
0.20 times 18 equals 3.60
There are 16 females and 20 males in a class.
Part B: What is the theoretical probability that a randomly chosen student is male? (Round the answer to the nearest hundredth.)
Answer:
5/9 OR 9/5
Step-by-step explanation:
No links please answer quickly
as given in the diagram this is equalatral triangle where all the side and angle are same
the sum of the three angle in a triangle is always 180 degrees
as in this triangle all of the angles are the same its
[tex]5x+5x+5x= 180\\15x=180\\x= 12[/tex]
help me??? lol i dont get this
Answer: 200 in squared
Step-by-step explanation:
Each of the triangles in this picture are the same. You can tell because it's a square, and because of the dotted line.
Take the white triangle and substitute it for one of the black ones. Now, you have this.
Now, just do 10 * 20
= 200
What is the value of 4^3
Answer:
the answer is 64
Step-by-step explanation:
becasue 4 time 4 is 16 and 16 times 4 is 64. You have to multiply 4 against itself 3 times.
Answer:
64
Step-by-step explanation:
4³ = 4 · 4 · 4 = 64
You went to your favorite restaurant for dinner, and the food and service was great. You spent $45.78 and want to leave a 20% tip. How much money should you leave for a tip?
Answer:
a
Step-by-step explanation:
Add the following weights:
5 lb 9 oz
+ 1 lb 9 oz
Ib
OZ
How do I complete this chart?
Answer:
Step-by-step explanation:
You would first have to plug in for x, (which is already given). After plugging in for x, you would need to solve the equation to get y.
Once you have both x and y, you will have your (x,y)
For example: (given x value = -5)
[tex]f(x) = -|x - 5| -4\\f(-5) = -|(-5) - 5| - 4\\f(-5) = -|-10| - 4\\f(-5) = -10 - 4\\f(-5) = -14\\f(-5) = y = -14\\\\[/tex]
so:
x = -5
y = -14
( -5, -14)
Ileana buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from one piece and finds it to be 512 inches. What is the diameter of the pizza to the nearest inch? A.4 in. B.7 in. C.8 in. D.14 in.
Answer:
14 inches
Step-by-step explanation:
She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches.
We need to find the diameter of the pizza. A pizza is divided into 8 equal parts.
The circumference of one part = [tex]\dfrac{2\pi r}{8}=\dfrac{\pi r}{4}[/tex]
So,
[tex]\dfrac{\pi r}{4}=5.5\\\\2r=D=14\ inch[/tex]
So, the diameter of the pizza is 14 inches.
Answer this question to get marked Brainliest and get 100 pts
Answer:
d
Step-by-step explanation:
Answer:
[tex]122+154i[/tex], D
Step-by-step explanation:
[tex]\mathrm{Apply\:complex\:arithmetic\:rule}:\quad \left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]
[tex]a=14,\:b=-2,\:c=7,\:d=12[/tex]
[tex]=\left(14\cdot \:7-\left(-2\right)\cdot \:12\right)+\left(14\cdot \:12+\left(-2\right)\cdot \:7\right)i[/tex]
[tex]=122+154i[/tex]
Javier estimates the square root of 18 in the following way: √18=2√9=2*3=6 Explain why her reasoning is incorrect. Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.
Answer:
Javier estimates the square root of 18 in the following way: √18=2√9=2*3=6 Explain why her reasoning is incorrect. Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.
Answer:
Solution given:
√18√[9×2]3√2 is a perfect square of √18.not 6.Help find the area to this figure fasttt
Answer:
i can't see it was blur
i can't answer can you pic it again
Answer:
1/2 ×9×7=31.5
4×2= 8
31.5-8=23.5
=23.5in2
hello, and good morning,
help me plz with.....
what´s √1000×1000=
Answer:
[tex]\sqrt{1000\times 1000}[/tex]
[tex]=\sqrt{1000^2}[/tex]
[tex]=1000[/tex]
-------------------------
Thanks!
Have a great day!!
11.68 - 0.48 ÷ (-1.6) =
need help I need a way to solve this problem
Step-by-step explanation:
11.68-0.48
= 11.20
11.20÷1.6
= 7.0 or 7
ahh this is the correct answer.
so if it helps don't forget to like and Mark me.
2 to the power of 12= 4,096. How many other whole numbers can you raise to a power and get 4,096?
Answer:
the numbers are 4,8,16,64 and 4096 using laws of indices
Answer:80017
Step-by-step explanation:
80017