find,in terms of pie,the curved surface area of a cone with circular base diameter 10cm and height 12cm
Answer: 65π
Step-by-step explanation:
you can draw the cone to make it easier for you to understand.
to find the curved surface area of a cone, you multiply the base radius of the cone by pie. Then multiply your answer by the length of the side of the cone.
to do this you need the length of the side and the radius of the cone.
to find radius, divide the diameter by 2.
[tex]\frac{10}{2}[/tex] = 5
then use the right angle triangle in the cone to find the length of the side
use Pythagoras theorem which states that a² + b²= c²
a= 5, b= 12, c= x (length of side)
∴[tex]x^{2} 5^{2} + 12^2 =x^{2} \\25 + 144 = x^{2} \\169= x^{2} \\x=\sqrt{169} \\x= 13[/tex]
no that you have found the length
multiply the base radius by pie
which is:
5 ×π = 5π
then multiply this by the length of the side
5π × 13 = 65π
there you go!
hope it helps!
Anyone know the answer ASAP please
Answer:
x= -9/4 or -3
second one is x=5/6 or -8
Answer:
see explanation
Step-by-step explanation:
Given
4x² + 21x + 27 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × 27 = 108 and sum = 21
The factors are 12 and 9
Use the factors to split the x- term
4x² + 12x + 9x + 27 = 0 ( factor the first/second and third/fourth terms )
4x(x + 3) + 9(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(4x + 9) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
4x + 9 = 0 ⇒ 4x = - 9 ⇒ x = - 2.25
--------------------------------------------------------------------
Following the same method as the previous question
Given
6x² + 43x - 40 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 40 = - 240 and sum = + 43
The factors are + 48 and - 5, thus
6x² + 48x - 5x - 40 = 0
6x(x + 8) - 5(x + 8) = 0
(x + 8)(6x - 5) = 0
x + 8 = 0 ⇒ x = - 8
6x - 5 = 0 ⇒ 6x = 5 ⇒ x = [tex]\frac{5}{6}[/tex]
Geno is running back for the Bayside Barn Owls. During the final drive of his last football game, he gained 4 yards three times, lost 1 yard twice, and gained 6 yards twice.
Answer:
22
Step-by-step explanation:
Answer:
22 yd
Step-by-step explanation:
what is the ratio 14:56 in its simplest form thx
Answer:
1:4
Step-by-step explanation:
7:28
1:4
Answer:
1:4
Step-by-step explanation:
14:56=
7(2):7(8)=
2:8=
2(1):2(4)=
1:4
Hope this helps!
An airplane lands at an airport 60 miles east and 25 miles north of where it took off, how far apart are the two airports?
Answer:
20 miles
Step-by-step explanation:
Write the recursive function for the following sequence. 0, 4, 8, 12,
Harrison pours sand into a bucket at a constant rate. the graph shows the total weight of the bucket and the sand over time. after 10 seconds, the total weight is 50 ounces.
what is an equation of the line parallel to the line on the graph that passes through (2,25)?
Answer:
y = 4x +17
Step-by-step explanation:
we can find the equation of line when given two points or a point and the gradient/slope.
In the above line we have two points (0,10) and (10,50),
The slope of the line is therefore 4
Parallel lines have equal slopes or gradient, therefore the slope of the other line is still 4. And the line pases through a point (2,25), hence
Equation will be, (y-25)/(x-2) = 4
= y-25 = 4x-8
= y =4x +17
Thus the appropriate equation is y = 4x +17
Answer:
Y = 4 x + 17
Step-by-step explanation:
Confirmed. Just took it
Retro Recyclers processes used plastics into milk containers and soda containers. The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers. Retro earns $35 per tons for milk containers and $28 per ton for soda containers. Retro wants to figure out how many tons of plastic should be allocated for milk containers and how many tons for soda containers in order to maximize its weekly profit.
Define the variables, write the constraints, and write the objective function for this situation.
Answer:
Objective function:
Maximize profit P = [tex]35x+28y[/tex]
subject to following constraints:
[tex]x\geq 900\\y\geq 600[/tex]
[tex]x+y\leq 2000\\x\geq 0\,,\,y\geq 0[/tex]
Step-by-step explanation:
Given: The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers.
Also, Retro earns $35 per tons for milk containers and $28 per ton for soda containers.
To find: objective function for the given situation
Solution:
Let x tons be used to make a milk container and y tones be used to make a soda container.
As at least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers,
[tex]x\geq 900\\y\geq 600[/tex]
Also, as the recycling plant can process up to 2000 tons of plastic a week,
[tex]x+y\leq 2000[/tex]
Also, [tex]x\geq 0\,,\,y\geq 0[/tex]
Objective function:
Maximize profit P = [tex]35x+28y[/tex]
You and a friend are trying to find a flag hidden in the woods. Your friend is standing
75 feet away from you. When facing each other, the angle from you to the flag is 720 and the angle from your friend to the flag is 53°. Is there enough information to locate
the flag?
Answer: Yes there is
Step-by-step explanation:
look bro your trying to get a total of 180 degrees
you already got 72 and 53 degrees
so add the two numbers and then subtract it from 180 degrees
thats 180 degrees minus 125 degrees
your missing point is 55 degrees
find the y-intercept for parabola defined by this equation: y=-4x^2-x+3
Answer:
(0,3)
Step-by-step explanation:
An easy way to determine the y intercept of a function is to graph it, and to see where the function passes through the y axis. As you can see below, the y intercept of this graph is at (0,3). Hope this helps!
Answer:
Y intercept = (0,3)
Step-by-step explanation:
When looking at a equation like this the y intercept would always the the number without a variable beside it.
-x would be the slope of the function
So 3 is your y intercept
Hope this helps!
Pls solve for x. (Pls show step by step explanation)
3(x-2)+7x=1/2(6x-2)
Answer:
x=5/7
Step-by-step explanation:
Distribute
3x-6+7x=3x-1
Combine Like Terms
10x-6=3x-1
7x-6=-1
7x=5
x=5/7
Answer:
[tex]x=5/7[/tex]
Step-by-step explanation:
[tex]3(x-2)+7x=1/2(6x-2)[/tex]
Use algebraic distribution.
[tex]3x-6+7x=3x-1[/tex]
Add like terms.
[tex]10x-6=3x-1[/tex]
Add [tex]-3x[/tex] and [tex]+6[/tex] on both sides of the equation.
[tex]10x-3x=-1+6[/tex]
Add and subtract.
[tex]7x=5[/tex]
Divide [tex]7[/tex] on both sides of the equation.
[tex]x=5/7[/tex]
5 + 3 + 2 = 151022
9 + 2 + 4 = 183652
8 + 6 + 3 = 482466
5 + 4 + 5 = 202541
Then ...
7 + 2 + 5 = ??????
Answer:
7 + 2 + 5 = 143547
Step-by-step explanation:
This question needs to identify the pattern
the pattern
is
5 + 3 + 2 = 151022
First two digits: 5*3 = 15 multiple of first and second term
third and fourth digit: 5*2 = 10 multiple of first and third term
last two digit = First two digits + third and fourth digit - second term
= 15+10 - 3 = 22
similarly
9 + 2 + 4 = 183652
9*2 = 18
9*4 = 36
18+36 - 2 = 52
____________________________________
5 + 4 + 5 = 202541
5*4 = 20
5*5 = 25
20+25-4 = 41
_______________________
7 + 2 + 5 = ??????
7*2 = 14
7*5 = 35
14+35-2 = 49-2 = 47
thus, 7 + 2 + 5 = 143547
Which graph represents the function f(x) =three-halves(2)x? On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1) and goes through (1, 3), (2, 9). On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 2) and goes through (1, 3), (2, 4.5), (3, 7) On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1) and goes through (1, 2), (2, 4), (3, 8). On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1.5) and goes through (1, 3), (2, 6).
Answer:
its the fourth one on edg
Step-by-step explanation:
Answer:
The last option :)
Step-by-step explanation:
Jim decides to decorate a wall of his house by randomly tossing paint onto the wall. The wall is rectangular and measures 8 feet by 8 feet. The wall has a light switch panel that measures 12 inches by 6 inches. If it is equally likely that tossed paint will land anywhere on the wall, what is the probability that Jim will hit the light switch with one random toss of paint?
Round your answer to the nearest whole percent.
A. 89%
B. 64%
C. 9%
D. 1%
Answer:
i belive it is D 1%
Step-by-step explanation:
I think the answer is D) 1% I am sorry if it is wrong and plz let me know if i am wrong
Expand 3x(2 + 11x) please answer
Answer:
6x + 33x²
Step-by-step explanation:
3x × 2 = 6x
3x × 11x = 33x²
Explain the meaning of “net” drawing. Provide an example.
The net of a 3D figure is the 2D surface area all laid out flat. One example would be that you have a box and you unwrapped the wrapping paper, placing it all flat on the table. By "placing it flat", I mean there are no portions that overlap. A 2D net is useful to help see that surface area is really just area. Specifically, surface area is the total area of each face of the 3D polyhedron.
Three of the angles of a polygon are
105.5
sum of the angles in the
polygon is 2520 find each of the other
angles if they are equal to each other
Answer:
three angles of a polygon are each 105.5,the sum of the angles in the polygon is 2520. find each of the other angles if they are equal to each other. For a polygon with n sides and n angles, the sum of the measures of all the interior angles equals (n-2)180 degrees. 16-3=13
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
The complete question is;
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
Answer:
60 cm. Option D is the correct answer
Step-by-step explanation:
From the image, the diagonals of the parallelogram bisect each other. Thus;
AE = EC and BE = ED
We are given that;
DE = 3y + 6 cm and BE = 5y - 10 cm, thus;
3y + 6 = 5y - 10
Rearranging, we have;
5y - 3y = 6 + 10
2y = 16
y = 16/2
y = 8 cm
The brace that bisects point B and D is BD. So, BD = BE + DE
So, BD = 5y - 10 + 3y + 6
BD = 8y - 4
Putting 8 for y to obtain;
BD = 8(8) - 4
BD = 64 - 4
BD = 60cm
Answer:
60 cm
Step-by-step explanation:
When chords intersect in a circle, the vertical angles formed intercept congruent arcs
Answer:
c
Step-by-step explanation:
A drawer contains a dozen each of red,blue,green,ad white socks,all unmatched.Laura takes socks out at random in the dark.How many socks must laura take to be sure she has 2 pairs of white socks
Answer:
40 socks
Step-by-step explanation:
There are 48 socks in total inside the drawer. 2 pairs of white socks means four white socks. The worst possible scenario (however unlikely it is) is that Laura takes all of the red, blue and green socks before picking any white sock. From that point on, Laura has to pick four more socks in order to have two white pairs. In this scenario, there are 8 socks left in the drawer, all white. Therefore, the minimum number of socks that Laura must take to be sure that she has two pairs of white socks is:
[tex]n=(12*4) - 8\\n=40\ socks[/tex]
She must take at least 40 socks.
If x-9 is a factor of x2 – 5x - 36, what is the other factor?
x - 4
x + 4
A
ООО
X-6
X + 6
Answer:
x²-5x-36
=> x²-9x+4x-36 = 0
=> x(x-9)+4(x-9)
=> (x-9) (x+4)
Step-by-step explanation:
Answer:
(x-9) (x+4)
Step-by-step explanation:
x^2 – 5x - 36,
What two numbers multiply to -36 and add to -5
-9 *4 = -36
-9+4 = -5
(x-9) (x+4)
What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)
Step-by-step explanation:
4(3x-2) + 6x(2-1)
10x + 11x
21x
Answer:
18x - 8
Step-by-step explanation:
if i have 85 lessons and only 42 days to complete them how many lessons would i have to do a day to finish on time?
Answer:
At least 3 per day
Step-by-step explanation:
All you gotta do is divide 85 by 42. You get 2.024 but you can't do .024 parts of a class, i mean you probably can but its finna be hard to do it exact so just do 3 per day and you'll even finish before. By the way, if this is an actual scenario, you gotta remember that they be adding lessons everyday so good luck!
PLEASE HELP!! The table shows the balance of an investment account at the beginning of each year the account was held. Assuming no other deposits have been made to the account, which statement describes the accounts growth.
The table and answers are attached.
Answer:
C
Step-by-step explanation:
The answer is c because 10.5 also equals up to 1,32300
The statement describes the growth of the account as C. The account grew exponentially at an annual interest rate of 5.00%.
What is an example of a cash account?
Cash accounts
A cash account might be the type of funding account you believe you studied when you consider making an investment. You deposit cash into a coins brokerage account, and you then use the budget to shop for securities.
What type of account is ideal for investment?A cash account is suitable for the majority of traders. It lets you buy investments with the cash you deposit into the account. A margin account is for investors who want to borrow cash from the broker to buy investments. Margin trading is a riskier sort of investing this is nice proper for advanced traders.
Learn more about Traders at https://brainly.com/question/17727564
#SPJ2
Solve and graph the solution of this inequality 4/9×-10>×/3-12
Step-by-step explanation:
4/9x-10>x/3-12
3 4/9x-3 10>x/3-12
4/3x-10>x-12
3 4/3x-3(10>x)-3(12)
4x-30x<-36
26x<-36
Name the Secondary Consumers/Carbivores,Omnivores
Answer:
secondary consumers: foxes, owls, and snakes. Wolves, crows, and hawks
carnivores: Lion, Wolf, Leopard, Hyena, Polar Bear, Cheetah, Giant Panda.
omnivores: Bears, pigs, racoons, opossums, hedgehogs, skunks, squirrels, rats, and mice
hope this helped!
Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]m-6(n+2)=-8\\6n+m=16[/tex]
Rearrange the second equation and substitute it into the first equation.
[tex]m=16-6n\\16-6n-6(n+2)=-8\\16-6n-6n-12=-8\\16-12n-12=-8\\4-12n=-8\\4+8=12n\\12=12n\\n=1[/tex]
Now we can use our value of n, and substitute it into the second equation to solve for m.
[tex]6(1)+m=16\\6+m=16\\m=10[/tex]
Now we can divide our values.
[tex]\frac{n}{m}=\frac{1}{10}[/tex]
Have a great wonderful fantastic amazingggg dayyyy!!!
Answer: 176m^2
Step-by-step explanation:
The smaller rectangle is taking up space among the larger one. So in order to find the area of this shaded region, you need to subtract that smaller one from the larger one.
12 x 15 = 180
1 x 4 = 4
180 - 4 = 176m^2
Answer:
44
Step-by-step explanation:
To start you have to calculate the perimeter of the white box. 1 times 2 is 2. 4 times two is 8. 8 plus 2 is 10. Then you have to find the perimeter of the purple box. 12 times 2 is 24. 15 times 2 is 30. 24 plus 30 is 54. After that you have to subtract to get the final answer. 54 minus 10 in 44. 44 is the final answer.
tell whether the red figure is a translation or rotation of a black figure
Answer:
The 2 figures have the same shape and the corresponding points are "lined up" so I would say that this is a translation.
Answer:
translation
see below
Step-by-step explanation:
translation because it didn't change direction of the figure
translation is sliding down or up rotation is moving in circle
Y’all mind to help a dumb asian?
Answer:
A is 62 b is 54 c is 62 and d is 62
And 7
Step-by-step explanation:
Since it equals to 180 you add 62 and 54 which gives u 118 then subtract it
Not sure about the second one
Answer:
7.
∠a = 64
∠b = 62
∠ c = 64
∠d = 54
8.
∠6 and ∠7
Step-by-step explanation:
7. I know bc opposite angles are equivalent.
8. I know bc supplementary angles are two anglers that add to 180 degrees, aka a straight line.