The major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft, the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.
What is the equation of ellipse if its major and minor axis are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]
For the considered case, the equation of the considered ellipse is:
[tex]\dfrac{x^2}{(\sqrt{7.29})^2} + \dfrac{y^2}{(\sqrt{5.4})^2} =1[/tex]
Thus, the major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft,
the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.
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Answer:
The mirror has a vertical orientation and is 5.4 ft tall.
Step-by-step explanation:
Got it right. The major axis is vertical (the ellipse has a vertical orientation) because the y^2 term comes first. It is 5.4 ft tall because if you take the square root of the number under the y^2 term (square root of 7.29), it is equal to 2.7. This is only the distance from the center to one vertex on the major axis, and so twice 2.7 is 5.4, and the mirror is 5.4 ft tall.
Also I know I am weeks late, but maybe this will help others at some point. Sorry I didn't get here in time!
A fuel tank is in the shape of a right circular cylinder. The radius of the base and height of the tank are
10
feet and
25
feet, respectively. Due to safety measures, the tank can be filled to only
80
%
of its capacity.
If
100
cubic feet of fuel are equal to
2. 78
gallons, what is the maximum number of whole gallons of fuel the tank can contain due to safety measures?
The maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons
Volume of a cylinderv = πr²hr = radius
h = height
Therefore,
r = 10 ft
h = 25 ft
The tank can only be 80% filled due to safety measures. Therefore,
v = 3.14 × 10² × 25
v = 3.14 × 100 × 25
v = 3.14 × 2500
v = 7850 ft³
80% capacity of 7850 ft³ is as follows:
80 / 100 × 7850 = 628000 / 100 = 6280 ft³
100 ft³ = 2.78 gallons
6280 ft³ = ?
cross multiply
maximum number of whole gallons = 6280 × 2.78 / 100 = 17458.4 / 100 = 174.584 gallons
Therefore, the maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons
learn more on cylinder here: https://brainly.com/question/1780981
A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 cm and the lengths of the prisms vary. It cost $0.04 per square centimeter to fabricate the prisms and the factory owner has set a limit of $11 per prism. What is the maximum length of each prism?
The maximum length of the prism is highest length of the hexagonal prism
The maximum length of each prism is 8.0 cm
How to determine the maximum length of each prism?The surface area of the hexagonal prism is calculated using:
A = 6al + 3[tex]\sqrt[/tex]3 a^2
Where:
a represents the edge length; a = 4 cm
l represents the length (or height) of the prism
The surface area costs $0.04 per square centimeter.
So, we have:
C = 0.04 * [6al + 3[tex]\sqrt[/tex]3 a^2]
The maximum cost is $11.
So, the equation becomes
11 = 0.04 * [6al + 3[tex]\sqrt[/tex]3 a^2]
Substitute 4 for a
11 = 0.04 * [6 * 4l + 3[tex]\sqrt[/tex]3 * 4^2]
Evaluate the products and exponents
11 = 0.04 * [24l + 48[tex]\sqrt[/tex]3]
Divide both sides by 0.04
275 = 24l + 48[tex]\sqrt[/tex]3
Subtract 48[tex]\sqrt[/tex]3 from both sides
24l = 275 - 48[tex]\sqrt[/tex]3
Evaluate the difference
24l = 191.9
Divide both sides by 24
l = 8.0
Hence, the maximum length of each prism is 8.0 cm
Read more about surface areas at:
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Answer:
275, 7.99
Step-by-step explanation:
i got it right
and please get me too branliest
The current temperature is 48°F. It is expected to drop 1.5°F each hour.
Which equation can be used to find in how many hours, h, the temperature will be 36°F?
A) 36 + 48h = 1.5
B) 48 – 1.5h = 36
C) 48 + 1.5h = 36
D) 36 - 1.5h = 48
Answer:
B
Step-by-step explanation:
Need help with b please and thank you (lots of points)
Answer:
17.34 years
Step-by-step explanation:
The equation you wrote in the first part of the problem can be solved for the value of t that makes the population be 5000.
[tex]P(t)=\dfrac{10000}{1+11.5e^{-0.1408614477t}}[/tex]
Setting this equal to 5000 and multiplying by the denominator, we have ...
[tex]5000=\dfrac{10000}{1+11.5e^{-0.1408614477t}}\\\\5000+57500e^{-0.1408614477t}=10000\\\\e^{-0.1408614477t}=\dfrac{5000}{57500}\qquad\text{subtract 5000, divide by 57500}\\\\-0.1408614477t = \ln{\dfrac{1}{11.5}}=-\ln(11.5)\qquad\text{take logs}\\\\t=\dfrac{\ln(11.5)}{0.1408614477}\approx17.3386[/tex]
For the population to reach 5000, it will take about 17.34 years.
_____
Additional comment
The value -0.14086... is the natural log of the ratio 1818/2093. This means the "exact answer" is ln(11.5)/(ln(2093) -ln(1818)), an irrational number.
A graphing calculator can answer the question easily.
someone pleaseee helppppp
Which expression is equivalent to this equation attached? Please help! I will make brainliest
Step-by-step explanation:
please mark me as brainlest
Pls help I need to know how much the penny will be by the end
Answer:
Day 1: $.01
Day 2: $.02
Day 3: $.04
Day 4: $.08
Day 5: $.16
Day 6: $.32
Day 7: $.64
Day 8: $1.28
Day 9: $2.56
Day 10: $5.12
Day 11: $10.24
Day 12: $20.48
Day 13: $40.96
Day 14: $81.92
Day 15: $163.84
Day 16: $327.68
Day 17: $655.36
Day 18: $1,310.72
Day 19: $2,621.44
Day 20: $5,242.88
Day 21: $10,485.76
Day 22: $20,971.52
Day 23: $41,943.04
Day 24: $83,886.08
Day 25: $167,772.16
Day 26: $335,544.32
Day 27: $671,088.64
Day 28: $1,342,177.28
Day 29: $2,684,354.56
Day 30: $5,368,709.12
Abby practiced her horn for 3/4 of an hour every day for 12 days?
a) How many hours did she practice in those 12 days?
b) How many minutes did she practiced in those 12 days?
Answer:
9 hours, 540 minutes
Step-by-step explanation:
12 x 0.75 = 9
Rachel has half the amount of money that Melanie has.
Melanie has $12 less than 3 times the amount that Kim has.
Let k represent the amount. of money kim has.
(A) write an expression that represents the amount of money that Melanie and Kim has. (two separate expressions)
(B) if kim has $20, how much money does Melanie and Rachel have?
EXPLAIN UR WORK
Let the amount of money Kim has be k then,
ATQ,
The amount of money Melanie has
⇢3k - $12The amount of money Rachel has
⇢3k-$12/2 = 1.5k - $6Given that,
Kim has $20,
so,
The amount of money Melanie has
⇢3k - $12 = 3 x $20 -$12 = $48The amount of money Rachel has
⇢ 1.5k - $6 = 1.5 x $20 -$6 = $24Write x=2 in slope intercept form
When x=a the slope is undefined . And when y is b the slope is zero
Joel has 24 sports trophies. Of the trophies 1/8 are soccer trophies. How many soccer does Joel have ?
Answer:
We are given that Joel has 24 sports trophies, of the 24 trophies there are 1/8 soccer trophies.
1/8 of 24 is 3.
24 divided by 8 = 3 soccer trophies
There are 3 soccer trophies all the rest of the trophies, which is 21 trophies, will be other sports. 21 trophies + 3 soccer trophies = 24 trophies in total
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Triangle ABC was transformed to create triangle DEF.
2 triangles are shown. Triangle A B C has point A at the top, B on the bottom right, and point C on the bottom left. Triangle D E F has point D at the top, E on the bottom right, and F on the bottom left. The triangles are identical.
Which statement is true regarding the side in the image that corresponds to Side length B A?
Side length B C corresponds to Side length B A because they are about the same length.
Side length E D corresponds to Side length B A because they are in the same position.
Side length E F corresponds to Side length B A because the transformation is isometric.
Side length F D corresponds to Side length B A because the length is not preserved.
Answer: Side length E D corresponds to Side length B A because they are in the same position.
Step-by-step explanation:
Answer: b
Step-by-step explanation:
A toy car launches off a ramp with a height of 6 feet with an upward velocity of 10 feet per second. The function h = -16t^2 +10t +6 gives the height in feet of the car after t seconds. After how many seconds does the car land on the ground?
On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.
Solving quadratic functionsQuadratic functions are functions having a leading degree of 2.
Given the function height in feet of the car after t seconds expressed as
h = -16t^2 +10t +6
The height of the car on the ground is zero, hence:
16t^2 -10t -6 = 0
8t^2 - 5t - 3 = 0
Factorize the quadratic function
8t^2 - 5t - 3 = 0
On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.
Leearn more on functions here: https://brainly.com/question/10439235
Will give
BRAINLY AND FIVE STARS and A THANKS
Answer:
k = 12h
Step-by-step explanation:
Since each of the inputs of h can be mutiplied by 12 to get the output k, the equation is k = 12h
Hope this helps :)
Jacob had a cube. When Jacob made a cross section parallel to the base, what shape did the cross section form? trapezoid square parallel triangle
Answer: Square
Step-by-step explanation:
A cross section cut parallel to a base will be the same shape as the base itself, and the base of a cube is a square. :)
Answer:
A square because it is not diagonal.
Step-by-step explanation:
Please help me with this please and thank you
Answer:
so i wrote the steps but not the answers, if you want i can write the answers too
Step-by-step explanation:
hello! so here all you have to do is substitute the given points of x to the equation. then you put two points on the graph. (two points on each graph) i can write the answers if you want, but please try first! if you cant ill help some more and show how to do it.
Which person is not living within their means?
A. Joyelle set aside money for emergency funds by limiting her thing
entertainment costs for a few months.
B. Bill earns a high salary, so he contributes the maximum allowed to
his IRA each year.
C. Ella maxed out all three of her credit cards but pays the minimum
balance each month.
O D. Dmitri earns $1000 a month and spends $800 on rent, groceries,
and other expenses.
The person that is not living within their means is Ella who has maxed out all three of her credit cards but pays the minimum balance each month.
What does it mean when a person is living above their means?If a person is living above their means, the person is spending more money than they have. A person living above their means would most likely borrow in order to afford their lifestyle. A person living above their means would have no amount of savings.
To learn more about credit cards, please check: https://brainly.com/question/14716152
PLEASE PLEASE PLEASE HELP ME YALL‼️‼️‼️‼️‼️
There are four boys in a class of ten students. Four students are to be randomly selected
(without replacement) to help in the lunch line. Determine the probability that all four
students are boys.
Answer:
Hi .. im happy to help
answer is 0.033
Step-by-step explanation:
P = C(4,4)÷C(10,4)
P = 1 ÷ 30
[tex]p = \frac{1 }{30} [/tex]
p = 0.033
Cole is buying a new rain barrel to help with watering his garden. The rain barrel is shaped like a right circular cylinder. What is the volume of the rain barrel if it is 26 inches tall and has a diameter of 22 inches? Use straight pi equals 3.14.
A right circular cylinder diameter 22 inches and a height of 26 inches.
V equals_(blank)_ inches cubed
Round to the nearest hundredth if necessary. Type your numerical answer (without units) below.
Answer:
[tex]V = 9878.44 in^3[/tex]
Step-by-step explanation:
The volume of a cylinder, is essentially base multiplied by height. Think of it like this, you are taking a flat 2D circle and extending it in 3rd dimension by a length 'h'.
[tex]V = base * h[/tex]
The base here is the circle area, and the height is the amount you extended that 2d circle in the 3rd dimension.
The area of a circle is [tex]\pi r^2[/tex]. If we put that into our equation we get the volume of a cylinder.
[tex]V = \pi r^2 *h[/tex]
Now applying that to the question; Firstly, we are given the diameter, which is 22 inches. We need radius, to actually put it in the equation. The diameter is essentially 2 multiplied by the radius. That means to get the radius we divide the diameter by 2, giving us 11 inches. Next we are given how tall it is, 26 inches; that is the height.
[tex]r = 11in\\h = 26in[/tex]
Plug these values into the equation.
[tex]V = 3.14(11in)^2 * 26in[/tex]
Calculate this, and you get [tex]V = 9878.44 in^3[/tex]
Find the value of x.
(3x+9)
(4x + 3)
Answer:
For two different equations:
(3x+9)
x = -3
(4x+3)
x = -3/4
Finding x using both equations:
plug x = -3 into the other equation
4(-3) + 3 = -9
x = -9
plug x = -3/4 into the other equation
3(-4/3) + 9 = 27/4
x = 27/4
Set the equations equal to each other:
3x+9=4x+3
3x-4x = 3-9
-x = -3
x=3
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Pick the biggest number.
A0.193 B0.26 C0.6 D0.308
Answer:
Hello fellow Human! ^ω^
The answer is option D. 0.308
Step-by-step explanation:
We are going to Compare the digits starting with the greatest place value.
The Number 0.193 Is not the biggest number. However, 0.193 is bigger than 0.26 and 0.60.The number 0.193 is smaller than the number 0.308.
Therefore, the answer is Option D. 0.308
Hope this helps!
Have an Awesome Friday!
Identify the population and the sample. Lena wants to open a new restaurant in a mall and needs to determine what kind of food to serve to attract the most customers. Out of 1200 mall visitors, 200 are asked their food preference.
The total mall visitors is the population parameter of the experiment
The sample of the experiment is 200, while the population is 1200
How to identify the sample and the experiment?From the question, we have the following parameters:
Total mall visitors = 1200Visitors interviewed = 200The total mall visitors is the population while the visitors that were asked of their food preference are the sample
Hence, the sample of the experiment is 200, while the population is 1200
Read more about sample and population at:
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solve pls brainliest
Answer:
Simplify the radical by breaking the radicand up into a product of known factors.
Exact Form:
3
√
75
5
Decimal Form:
0.84343266
…
Answer:
[tex]\frac{27}{125}[/tex]
Step-by-step explanation:
[tex](\frac{3}{5})^{3}[/tex] is [tex]\frac{3^{3}}{5^{3}}[/tex]
[tex]3^{3} = 27[/tex] and [tex]5^{3} = 125[/tex]
[tex]\frac{27}{125}[/tex]
What is the missing numerator?
A: 1
B: 2
C: 3
D: 4
Answer:
C. 3
is the answer :)
hopefully this helps
Answer:
D: 4
Step-by-step explanation:
1) Make the 1/4 into 5/20 by multiplying top and bottom by 5/5
x/5 - 5/20 = 11/20
2) Move the 5/20 to the other side
x/5 = 11/20 + 5/20
3) Add the 2 fractions on the right
x/5 = 16/20
4) Make the fraction on the right have a denominator of 5 by dividing top and bottom by 4/4
x/5 = 4/5
5) Multiply both sides by 5
x = 4
The missing numerator is 4.
A dartboard is divided into 20 sectors. Each sector is worth a point value from 1 to 20 and has shaded regions that double or
triple this value. A sector is shown below. Find the areas of the entire sector, the double region, and the triple region. Round
your answers to the nearest hundredth.
in
triple
double
The area of the entire sector is about
square inches.
The area of the double region is about
square inches.
square inches.
The area of the triple region is about
The area of each sector is the amount of space on the sector
The area of the entire region is 6.89The area of the double region is 0.75The area of the triple region is 0.46The area of the entire sectorThe area of a sector is calculated as:
A = (1/2) × r^2θ
For the entire sector, we have:
θ = π/10
r = 6.625
So, we have:
A = (1/2) × 6.625^2 × π/10
Evaluate the product
A = 6.89
The area of the double regionFor the double region, we have:
θ = π/10
r = 6.25
So, we have:
A = Complete sector - (1/2) × r^2θ
A = 6.89 - (1/2) × 6.25^2 × π/10
Evaluate the difference
A = 0.75
The area of the triple regionFor the triple region, we have:
θ = π/10
R = 4.125
r = 3.75
So, we have:
A = (1/2) × R^2θ - (1/2) × r^2θ
A = (1/2) × 4.125^2 × π/10 - (1/2) × 3.75^2 × π/10
Evaluate the difference
A = 0.46
Hence, the area of the triple region is 0.46
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A triangle has two sides of length 14 and 19. What is the largest possible whole-number length for the third side?
its 33 I checked it mark the one above me brainiest
Elsa drove 737 miles in 11 hours.
At the same rate, how many miles would she drive in 13 hours?
Answer:
871 miles
Step-by-step explanation:
737/11= 67
67 x 13= 871
GUYS PLS HELP
What kind of
drawing is this
figure?
A. A triangle
B. A perspective drawing
C. A cylinder
D. A net
B: A perspective drawing
Answer:
B. perspective drawing.
Step-by-step explanation: perspective drawings can be inspirational drawing and can be imagined and created to be like anything and can be anything.
help me pleaseeeeeeeeee
for 2 points A(xa;ya) and B(xb;yb)
the slope is (yb - ya) / (xb - xa)
here
the slope = 4 = (17-r) / (4-(-1))
(17-r) / 5 = 4
17 - r = 20
r = 17 - 20
r = - 3
point (-1 ; -3)
please someone help i will give brianliest
Answer:
the answer is 16
Step-by-step explanation:
look at the photo