Answer:
3,165.12 square meters
Step-by-step explanation:
To find the surface area of a cylinder, first separate the shapes you must find the area of. In this case, you need to find the areas of two circles and one rectangle (the height).
The two circles can be found using the equation: a = pi(r^2). r means radius!
12 squared is 144, which, multiplied by pi, is 452.16 square units. Because there are two circles, you can multiply this area by two to get the area of both: 904.32.
The rectangle can be found by multiplying the circumference of the circle by the height of the cylinder. The circumference can be found with the equation: c = 2pi(r). The circumference of this cylinder's base is 75.36, which, multiplied by the height of the cylinder, is 2,260.8.
Now that you have both the area of the circles and the side, you can add them both together and get the surface area.
A vehicle costs £17754 including vat at 20%. What was the price of the vehicle before vat was added
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but friend if it has really helped you plz don't forget to thank me...
What is the center of a circle whose equation is x2 + y2 – 12x – 2y + 12 = 0?
(–12, –2)
(–6, –1)
(6, 1)
(12, 2)
Answer:
(6,1)
Step-by-step explanation:
Just look for the terms with x and y in them. Divide their coefficients by two, and multiply by -1. And then put them in an ordered pair.
So in this case, -12x --> 6 and -2y --> 1
Obviously the more orthodox way would be to actually complete the square, but I'm lazy, this way is faster, and since this seems to be multiple choice, as long as you have the correct answer, it shouldn't matter.
The required centre will be at (6,1)
Equation of a circleThe standard equation of circle is expressed as:
x^2+y^2+2gx+2fy+c = 0
where (-g, -f) is the centre of the circle
Given the equation x^2 + y^2 – 12x – 2y + 12 = 0
Compare with the general to have;
2gx = -12x
g = -6
2fy = -2y
y = -1
Since centre is at (-g, -f), hence the required centre will be at (6,1)
Learn more on equation of a circle here: https://brainly.com/question/14150470
Multiply, then identify the coefficient of x in the product (x - 5)(x + 2). *
Answer:
-3 is the coefficient of x here
Step-by-step explanation:
The first thing to do here is to open the brackets.
(x-5)(x + 2) = x(x + 2)-5(x + 2)
x^2 + 2x -5x -10
x^2 -3x -10
When we say the coefficient of x, we mean the value by which x only is multiplied by in the equation. That would be -3
This must not be confused with the coefficient of x^2 which is entirely different from the coefficient of x
70% of what number is 595?
Please help
Answer:
850
Step-by-step explanation:
We have, 70% × x = 595
or,
70
100
× x = 595
Multiplying both sides by 100 and dividing both sides by 70,
we have x = 595 ×
100
70
Answer:
Your answer is 416.5
Step-by-step explanation:
You take your first number 595 and multiply it by .7
There ya go hope it helped
Rewrite the equation y=2|x−2|+4 as two linear functions f and g with restricted domains.
Answer:
f(x) = -2x + 8, x < 2
g(x) = 2x, x 》2
Step-by-step explanation:
|x - 2| is:
x - 2, for x 》2
-x + 2, for x < 2
For x < 2,
f(x) = 2(-x + 2) + 4
f(x) = -2x + 8
For x 》2,
g(x) = 2(x - 2) + 4
g(x) = 2x
The two linear functions for the given mode function y = 2|x - 2| + 4 will be y = -2x + 8 and y = 2x.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given mode function,
y = 2|x - 2| + 4
For x < 2 , |x - 2| = -(x - 2)
y = -2(x - 2) + 4
y = -2x + 4 + 4
y = -2x + 8
For x > 2, |x - 2| = x - 2
y = 2(x - 2) + 4
y = 2x - 4 + 4
y = 2x
Hence "The two linear functions for the given mode function y = 2|x - 2| + 4 will be y = -2x + 8 and y = 2x".
For more about the linear function,
brainly.com/question/21107621
#SPJ3
what is 33.4% of 104?
Answer:
33.4% of 104 is equal to 34.736
List all the factors of 6
One grain of this sand approximately weighs 7 x 10^-5 grams how many grains of sand are there in 6300kg of sand?
answer in standard form.
Answer:
Step-by-step explanation:
6.3x103 kg sand x 1x103 g/kg x 1 grain sand/7x10-5 g sand = 9x1010 grains of sand = 90 billion grains of sand.
90 billion grains of sand.
(6.3 x 103kg) (1 x 103g/kg x 1 )
DIVIDED by 7 x 10 - 5 g sand
= 9 x 1010 grains of sand
factor out the GCF of
Answer:
2
Step-by-step explanation:
Area of the plane figure
Answer:
Area = 16.8 * 7 / 2 = 58.8 ft2
Step-by-step explanation:
Have
18.2^2 = 7^2 + a^2
-> a^2 = 18.2^2 - 7^2
-> a^2 = 282.24
-> a = 16.8
Area = 16.8 * 7 / 2 = 58.8 ft2
i need help with the following question please
(brainliest will be marked)
Answer:
4x^2+1.5y*2x
Step-by-step explanation:
the area of square equale wide^2
the area of traingle = 1/2 of 3y *hight (2x)
Answer:
4into^2+1.5y*2^
Step-by-step explanation:
What is the answer to 150% of 224?
Answer: 336
Step-by-step explanation:
Answer:
336
Step-by-step explanation:
answer of 150% of 224 is336
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answer:
144
Step-by-step explanation:
8x6=48
48 divided by 2=24
24x2=48
4x10=40
8x4=32
4x6=24
add them all together so 48+40+32+24=144
The triangular prism is a 3-d shape, and the total surface area of the triangular prism is 144 cm²
How to determine the total surface area?The surface area of a triangular prism is:
Area = bh + (b + s₁ + s₂) * l
The parameters in the triangular prism are:
Base length, b = 8cmBase height, h = 6cmOther sides of the base, s₁ = 10cm; s₂ = 6cmPrism height, l = 4cmSo, we have:
Area = 8 * 6 + (8 + 10 + 6) * 4
Evaluate the sum of product
Area = 144
Hence, the total surface area of the triangular prism is 144 cm²
Read more about surface area at:
https://brainly.com/question/6613758
#SPJ2
click here if you good at math
Write three fractions that are equivalent to 1/2
im giving you an easy one :)
Answer:
2/4 3/6 and 4/8
Step-by-step explanation:
Determine the equation of a line that passes through the point (-8,5) and is perpendicular to 4x - y + 3 = 0
Please help me
Answer:
y= -1/4x+3
Step-by-step explanation:
2(2x + 7) - 7(x+1)= 28
2(2x+7)-7(x+1)=28
4x+14-7x-7=28
4x-7x=28+7-14
-3x=28-7
-3x=21
pls mark mine as brainliest :D
x=-7
3(x−0.2)=1.8+x find x
Answer:
x=6/5
Step-by-step explanation:
Simplify the expression by combining like terms.
22+5−4+7−8
Answer:
22
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
22 add 5 subtract 4 add 7 and subtract 8
Is American Dream for Everyone? Explain.
Answer:
There are many ideals that appear in American literature such as, but not limited to, all people are equal, The United States of America is the Land of Opportunity, independence is valued, The American Dream is attainable, and everyone can succeed with hard work and determination.
A can holds 753.6 cubic centimeters of juice. The can has a diameter of 8 centimeters. What is the height of the can? Use 3.14 for 1 and round to
the nearest centimeter
About
cm
Answer: The height is 15 cm.
Step-by-step explanation:
We have to know the can is in a shape like a cylinder so we will use the volume of a cylinder formula to find the height.Which is πr^2*h
We have to know 8 is the diameter so the the radius is 4.
3.14 * 4^2 * h = 753.6
3.14 * 16 * h = 753.6
50.24 * h = 753.6
Divide 753.6 by 50.24 to find the height
The height is 15.
Eric is preparing for a regional swim meet that is a month away. He swims the same distance and clocks his best time on several different days. He plots the best time (in minutes) he swam each day as his y-variable and the day he swam it as his x-variable. When he plots his times and finds a line of best fit, he gets the equation y=−0.03x+3.45.
If Eric continues to practice, on the 15th day his best time for the day should be _[blank]_ minutes.
Enter the value that correctly fills in the blank, like this: 42
Do not round your answer.
Answer:
On the 15th day his best time for the day is 3 minutes.Step-by-step explanation:
The line that best fits is
[tex]y=-0.03x+3.45[/tex]
Where [tex]x[/tex] is days and [tex]y[/tex] is time in minutes. So, we have [tex]x=15[/tex], replacing this in the equation and solving for [tex]y[/tex], we have
[tex]y=-0.03(15)+3.45=-0.45+3.45=3[/tex]
Therefore, on the 15th day his best time for the day is 3 minutes.
The volume of a cylinder is 48piπ cubic feet. The area of the base is 12piπ square feet. What is the height of the cylinder?
Answer:
h = 4
Step-by-step explanation:
The volume of a cylinder is [tex]\pi r^2*h[/tex]
V = 48π
AB = 12π
So since the area of the base is 12π, you can find the height by simply dividing 48π by it.
48π ÷ 12π = 4
1 point
When factoring the quadratic trinomial below, we consider whether there
is addition or subtraction between terms. Because there is only addition,
the binomial factors will have:
x2 + 9x + 18
addition in both
subtraction in both
addition in one and subtraction in the other
which one is it? help asap
Answer:
I say addition in both since there is + between terms
Hope this helps...
Step-by-step explanation:
Tell me if it's correct
12. Write a function rule in slope-intercept form for the statement: the output is one less than half of the opposite of the input.
Answer: y = (1/2)*x - 1
Step-by-step explanation:
a linear relationship is something like:
y = a*x + b, lets find the values of a and b.
We have that the output (y) must be 1 less than half of the imput (x), then our relation is:
y = (1/2)*x - 1
Heng Roth invests $9000 at 2%
per annum compound interest daily. What
is his amount at the end of the third day?
(1 year =365 days)
Answer:
After three days Heng will have 9000.15 in his account.
Step-by-step explanation:
In order to solve this problem, we must apply the correct formula, which is given below:
[tex]M = C*(1 + r/n)^{n*t}[/tex]
Where M is the final amount, C is the money invested, r is the annual interest rate, n is the number of times the money gets compounded in a year and t is the time elapsed. Since in this account the money is compounded daily, it means that for each year it gets compounded 365 times, therefore n = 365. The ammount will be compounded for 3 days, therefore we must convert this value to years in order to apply it in the "t" variable, we do that by dividing it by 365. With this knowledge we can solve the problem as shown below:
[tex]M = 9000*(1 + \frac{0.002}{365})^{365*\frac{3}{365}[/tex]
[tex]M = 9000*(1.000005479)^{3}\\M = 9000.15\\[/tex]
After three days Heng will have 9000.15 in his account.
(PLEASE ANSWER ASAP I NEED IT IN A FEW MINUTES I WILL MARK BRAINLIEST) Jenna bakes pie at her bakery. She gets a 10 pound block of butter for $30.30. Each pound of butter is 2 cups. Each pie she makes requires 3/4 cup of butter. How many pies can she make? What is the cost of butter per pie?
Answer:
With that amount of butter she can make 26 pies.
For each pie she spends $1.13625 of butter.
Step-by-step explanation:
We first need to convert the total amount of butter she has from pounds to cups, to do that we need to multiply by 2, since for each pound she has 2 cups of butter, therefore:
butter in cups = 10*2 = 20 cups
Since each pie requires 3/4 cups of butter in order to calculate the number of pies she can make we need to divide the total amount of butter she has by the amount required for each pie. We have:
number of pies = total butter in cups / butter for one pie
number of pies = 20 / (3/4) = 20*(4/3) = 80/3 = 26.667
Since she can't make 0.66 pies, we will need to take only the integer part in consideration, therefore she can make 26 pies.
In order to know the cost for each pie we first need to know the cost for each pound of butter, to calculate that we take the total amount paid by her and divide it by the amount of butter she got.
price of butter per pound = 30.3/10 = 3.03
So each pound of butter costs $3.03 and is equivalent to 2 cups, we can make a rule of three to find the cost for each pie as shown below:
2 cups -> $3.03
3/4 cups -> $x
2/(3/4) = 3.03/x
2*(4/3) = 3.03/x
8/3 = 3.03/x
8x = 9.09
x = 9.09/8 = $1.13625
For each pie she spends $1.13625 of butter.
Brainliest question please please help me now plz
Answer:
[tex] \frac{8}{17}[/tex]
Step-by-step explanation:
[tex] \because \cos (\beta) =\frac{BC}{AB}\\\\
\huge \red {\boxed {\therefore \cos (\beta) =\frac{8}{17}}} [/tex]
A Ferris wheel rotates 9π/8 radians prior to making a stop. The total height of the Ferris wheel is 246 ft. How far around did the Ferris wheel travel?
Answer:
The ferris wheel travelled 434.717 ft.
Step-by-step explanation:
Assuming that the ferris wheel is a perfect circle, then it's height is the same as the diameter of the circle, therefore it's radius is:
radius = height/2 = 246/2 = 123 ft
The distance travelled by the ferris wheel is the same as the length of the arc created by a angle of (9pi/8). The length of an arc is given by:
length = r*(angle in radians)
length = 123*(9pi/8)
length = 434.717 ft
The ferris wheel travelled 434.717 ft.
Solve the inequality. Graph the solution.
−1.4 ≤ h + 1.1
Answer:
Step-by-step explanation:
- 1.4 < h + 1.1
Solve for H. Get H by itself by subtracting 1.1 on both sides of the equation.
-1.4 - 1.1 = - 2.5
-2.5 < h
_
Determine if the question posed is a statistical question (yes) or not (no). How many students passed the math test?
Answer:
How to add a great answer
How to add a great answer
Step-by-step explanation:Determine if the question posed is a statistical question (yes) or not (no). How many students passed the math test?Bună ziua. La pagina 169 aveți o altă piesă de teatru. Vă rog să o citiți și să răspundeți la întrebările 1,2,4,7,8/ pag. 170.
Sper că vă scrieți toate lecțiile în caiet! Sunt copii care încă nu mi-au trimis nicio temă. Vă rog să vă mobilizați! Când ne întâlnim vă verific caietele. Mult spor!