Answer:
24″ width, 12″ length. Let the length be X inches, then width is 2X inches, giving perimeter 2(X+2X)=6X inches, which is 72″. hence X, length =12″, and width 24″. The perimeter of a rectangle is 64 m.
Step-by-step explanation:
There ya go,
Answer:
36
Step-by-step explanation:
72 divided by four because its perimeter and you get 18 on each side since the width is double then you would do 18x2 and get 36.
The ratio of blue task to red task on the bullentin board is 3 to 5. There are 50 red tracks. How many blue tracks are on the board?
Which Shape is NOT quadrilateral
Answer:
the pentagon (3rd one)
Step-by-step explanation:
definition of a quadrilateral literally means a shape with 4 sides
Write an equation of the line below
Answer:
The equation of the line is:
[tex]y = 4x + 3[/tex]
Step-by-step explanation:
We know that the slope-intercept of line equation is
[tex]y = mx+b[/tex]
Where m is the slope and b is the y-intercept
Given the two points on a line
(0, 3)(-2, -5)Finding the slope between (0, 3) and (-2, -5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-5\right)[/tex]
[tex]m=\frac{-5-3}{-2-0}[/tex]
[tex]m=4[/tex]
We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.
From the graph, it is clear:
at x = 0, y = 3
Thus, y-intercept = b = 3
Substituting m = 4 and b = 3 in the slope-intercept form of line equation
[tex]y = mx+b[/tex]
[tex]y = 4x + 3[/tex]
Therefore, the equation of the line is:
[tex]y = 4x + 3[/tex]
A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.
Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)
Part B: At time t, at what rate is the height of the dough decreasing with respect to time?
Answer:
a) dA/dt = 125,42 mm/min
b) dh/dt = - 1,78 mm/min
Step-by-step explanation:
The volume of the cylinder is:
V(c) = π*r²*h ( r and h radius of the base and heigh respectively )
Then the surface area is: Area of the base : π*r²
Plus lateral area : h*2*π*r
A(c) = π*r² + 2*π*r*h
With the help of differentials we obtain:
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt (1)
In this equation and at time t we know:
r = 18 mm dr/dt = 2 mm/min h = 8 mm dh/dt = ??
dA/dt = increasing rate of the surface area ( with respect to time)
To find dh/dt we know:
V(c) is constant, then
V(c) = π*r²*h then h = V(c) / π*r²
dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴
By subtitution of V(c)
dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴
dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴
dh/dt = - [2*h* dr/dt ] / r
dh/dt = - 2*8*2 / 18 mm/min
dh/dt = - 1,78 mm/min
By subtitution in equation (1)
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt
dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )
dA/dt = 226,20 + 100,53 - 201,31
dA/dt = 125,42 mm/min
Following are solutions to the given points:
Formula:
Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]
[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]
Part A:
Calculating the circular area of the surface:
[tex]\to A=\pi r^2\\\\[/tex]
So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]
Therefore
[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]
Part B:
[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]
Learn more:
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xander takes a quiz worth 50 points. each question is worth 10 points. sketch a graph to show his score if he missed 1,2,3,4 or 5 questions
Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar, she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake? A) Corresponding sides of the two triangles have the ratio of 4:1, which proves SAS similarity.The length of the lake is 212 m. B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132 m.
C) Corresponding sides of the two triangles have the ratio of 3:1, which proves SSS similarity. The length of the lake is 159 m. D)
Corresponding sides of the two triangles have the ratio of 4:1, which proves AAS similarity. The length of the lake is 240 m.
Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.
Step-by-step explanation: Similar Triangles are triangles with corresponding sides proportional to each other.
One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or SSS similarity and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.
The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:
[tex]\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4[/tex]
So, the ratio of bigger triangle and smaller triangle is 4:1.
With that ratio and suppose length is represented as L:
[tex]\frac{L}{33} =4[/tex]
L = 132
The length of the lake is 132m.
Thus, the answer for this question is
1) The similarity of the triangles is proved by SSS similarty;
2) Ratio of proportion is 4:1;
3) Length of the lake is 132m;
The first line of the passage includes a
to introduce a
section and help readers locate it easily,
that
CELL PHONE POLICY
Devices Supplied by the Company
The use of company supplied devices must be limited to
work-related correspondence. They should not be used
for personal communication.
Personal Cell Phones and Devices
Employees are encouraged to limit their use of personal
cell phones and other devices during business hours.
The passage also includes
introduce more specific topics.
The passage is organized according to a
y sequence
Answer:
Step-by-step explanation:
Answer: 1. heading and subheading
2. subheading
3. point-by-point
Step-by-step explanation:
How to cross multiply for sin
Answer:
What do you mean sin?
Step-by-step explanation:
What is the equation of this line?
Please Help
y=1/2x -2
y=-2x -2
y=2x -2
y=-1/2x -2
Answer:
the first option
Step-by-step explanation:
the slope is the rise over run (up over across) and the line meets the y axis at -2 so that is your intercept
please help UwU
if correct you get Brainiest
Answer: C
Step-by-step explanation:
What is the equation of the line that passes through the point (2,0) and has a slope of 5/2
Bouncing Baby Company sells their cribs for the following amounts to stores:
Number of Cribs Price
10 $1320
50 $6600
Which of the following statements about the price of the cribs are true if the price remains proportional to the number of cribs? Select TWO that apply.
A
6 cribs cost $660
B
22 cribs cost $2640
C
40 cribs cost $5280
D
55 cribs cost $7920
E
80 cribs cost $10,560
F
250 cribs cost $11
Answer:
C and E
Step-by-step explanation:
Ik u prolly dont care about the explanation but ill just say it
the ratio is 1:132 or 1 crib is $132. So 40 x 132 = 5280 and 80 x 132 = 10560
For the test im doing the answer is C and D yw ;D
How much is 3/5 of 31/8 ?
Answer:
2.325
Step-by-step explanation:
i used a calculator ,i think i did it right lol
1/3 + a = 5/4
A=? ..........................................................
Which of the following ratios are equivalent to 34:21?
Answer:
https://brainly.com/question/19692618
Step-by-step explanation:
https://brainly.com/question/19692618https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618
It’s not b!!!! Help me please
Answer:
D maybe? im not sure
Step-by-step explanation:
What’s the answer to the problem Help me
Answer:
$2000 can get 250000 sheets of papers
Step-by-step explanation:
[tex]500/4=125[/tex]
[tex]125*2000=250000[/tex]
The table below shows the probability distribution of students in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?
Age
13, 14, 15, 16, 18
Probability
0.01, 0.28, 0.30, 0.25,0.15,0.01
A. 15.28
B. 15.64
C. 15.34
D. 15.36
Answer: 15.28
Step-by-step explanation:
The expected value for the age of a randomly chosen student is,
⇒ 15.28
Given that:
Total number of students,
⇒ n = 1500,
And, Age : 13, 14, 15, 16, 17, 18
Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01
Now,
We can Calculate the expected value as shown below,
E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01
E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18
E = 15.38
Therefore, The expected value for the age of a randomly chosen student is 15.38.
To know more about probability:
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#SPJ7
which of these is not a linear graph.
Answer:
D
Step-by-step explanation:
It isn't linear
Answer:
D)
Step-by-step explanation:
Linear graphs are straight they can be positive or negative but they do not have bending points in them.
I added a picture to help you
I am so stressed can someone please help me
It’s 53 points
Answer:
(3,1)
Step-by-step explanation:
I have 8 Twix bar that I want to share with 6 students how much of the Twix bar will each student get
Answer:
1.3
Step-by-step explanation:
8 divided by 6 = 1.3
BRAINLIEST PLEASE
Answer:
1.3
Step-by-step explanation:
Hope this helped have an amazing day!
Write the equation of the line that passes through the given points
(0,2)) and (-9, -3)
Step-by-step explanation:
Y= m x+ C
m (slope ) = 2 - (_3) / 0 _( - 9 )
= 5 / 9
( O, 2 ) Satisfying equation
2= 5/9 ( 0) + C
C= 2
So eq. is
y= 5/ 9 X + 2
WHO WANTS BRAINLIST??
Answer:
Me please
Step-by-step explanation:
I like ice cream :D
Answer:
I do!!! Please may I get it? If someone else asked and you chose them that's fine!
Step-by-step explanation:
(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.
- •Trix•
( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
alice started at the origin and moved to the left and then down to plot a point. which quadrant and which possible point did alice plot at?
Answer:
OK
Step-by-step explanation:
LOL SO WHAT I . DID
IS ik the qudrents and just ask siri maybe she will help but i got qudrent 3
Please help! it's algebra 2! correct answers only!
B.
To create a square trinomial on the left side of the equation, find a value that is equal to the square of half of.
At the farmer's market,
eight peaches (x) plus
three cantaloupe (y) cost
$63. Two peaches plus
three cantaloupe cost $27.
How much does each fruit
costo
Answer:
Cantaloupe = $6, peach=$5
Step-by-step explanation:
[tex]8x+3y=63\\2x+3y=27\\[/tex]
Subtract the first one from the second one
[tex]8x-2x+3y-3y=63-27\\6x=36\\x=6\\[/tex]
Plug in:
[tex]2(6)+3y=27\\12+3y=27\\3y=15\\y=5[/tex]
Hope this helps plz hit the crown :D
Ella's father paid her $9.15 for helping him rake leaves, clean flower beds, and haul trash. If she received an equal amount for each job, how much did he pay her for raking the leaves?
Answer:
$3.05?
Step-by-step explanation:
A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume
Answer:
[tex]890.75m^3[/tex]
Step-by-step explanation:
Step one:
given data
heigth/depth = 3.5m
radius= 9m
Step two:
The shape is that of a cylinder
Hence the volume of the pool is
[tex]V= \pi r^2h[/tex]
substitute
[tex]V= 3.142*9^2*3.5\\\\V=890.75 m^3[/tex]
what is the equation?
Answer:
Step-by-step explanation:
y = 10/4 x
y = 2.5 x
Please help geometry
