Answer:
A. 84 pi feet^2
Step-by-step explanation:
So the lateral area is the rectangular piece on the net
In order for it to be an actual cylinder the 2 circles are congruent
Therefore the radi, area, circumference ect.. are the same.
So the only missing measurement we need to find the lateral area is the length of the rectangular piece
If you visualize a cylinder, the rectangular piece goes around the perimeter/circumference of the circle
So that means that the length of the rectangle is the circumference of the circle
Circumference = 2*pi*r
2 * pi * 6
= 12 pi
Then 7*12 pi
=84 pi
So the lateral area is 84 pi
:0
please help me with this question
Find the least number which when divided by 12 and 16 leaves the reminder 3 and 7 respectively. Plzz help in this question
==============================================
Explanation:
Let n be the number we want to find. We want n to be as small as possible, but also be a positive integer. Intuitively, we can see that n cannot be smaller than 16; otherwise, we don't meet the remainder requirements.
Divide n over 12 and we get some quotient x and remainder 3
So,
n/12 = (quotient) + (remainder)/12
n/12 = x + 3/12
Multiply both sides by 12 to end up with
n = 12x + 3
Similarly, if we divide over 16 we get some other quotient y and remainder 7
n/16 = y + 7/16
which turns into
n = 16y + 7
after multiplying both sides by 16
-----------
We have these two equations
n = 12x+3n = 16y+7Apply substitution and do a bit of rearranging like so
12x+3 = 16y+7
12x-16y = 7-3
4(3x-4y) = 4
3x-4y = 4/4
3x-4y = 1
The goal from here is to find the smallest positive integers x and y that make that equation true. We have a few options here and they are
Guess and check: We have a small sample size to work with so it shouldn't take too long. Make a table of xy values where you have x along the top row and y along the left column. Then plug each x,y pair into the equation above to see if you get a true statement or not. Again, keep in mind that x and y are positive integers. Graphing: Graph the line 3x-4y = 1, which is the same as y = (3/4)x - 1/4 and note where the line lands on a lattice point. Focus on the upper right quadrant of the graph. This quadrant is above the x axis and to the right of the y axis.Extended Euclidean Algorithm: This method is the most efficient, but it's only useful if your teacher has gone over it.Whichever method you use, you should find that (x,y) = (3,2) is the point we want.
Note how:
3x-4y = 1
3(3)-4(2) = 1
9-8 = 1
1 = 1
So that verifies (3,2) is on the line 3x-4y = 1.
Because x = 3 and y = 2, we know that
n = 12x + 3
n = 12*3 + 3
n = 39
and we can see that
n = 16y + 7
n = 16*2 + 7
n = 39
So 39 is the smallest such integer such that when we divide it over 12 and 16, we get remainders 3 and 7 respectively.
Here's a quick verification that we've fit the requirements.
39/12 = 3 remainder 3
39/16 = 2 remainder 7
We know we hit the smallest value of n because (x,y) was made to be the smallest positive integer solution to 3x-4y = 1. There are infinitely many positive integer (x,y) solutions to 3x-4y = 1, which in turn means there are infinitely many numbers n that satisfy the remainder conditions (but n is not the smallest possible in those cases).
A circular pond has a radius of 6m. Calculate the circumference of the pond. Give your answer rounded to the nearest tenth.
Answer:
37.7
Step-by-step explanation:
C= 2(3.14)6
C = 6.28(6)
C= 37.68
C= 37.7
Find the quotient.
(6x ^2 + 23x + 20) ÷ (5 + 2x)
a) 3x - 4
b) 3x + 4
c) 3x +19
Answer:
3x+4
Step-by-step explanation:
George Smith own's George's Joint, a gas station and convenience store. George is trying to get a better understanding of his business and wants to estimate the mean number of gallons of gasoline sold to his customers. Assume the number of gallons of gasoline sold follows a normal distribution with a population standard deviation of 2.3 gallons. From his records, he randomly selects 60 sales and find the mean number of gallons sold is 8.6. What is the point estimate of the population mean
Answer:
The point estimate of the population mean is of 8.6 gallons sold.
Step-by-step explanation:
Point estimate for the population mean:
From a large sample, the point estimate for the population mean is the sample mean.
In this question:
The sample mean number of gallons sold is 8.6. This means that the point estimate of the population mean is of 8.6 gallons sold.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
No Solution!
Step-by-step explanation:
If we make a graph of the given equations the equation's lines will be parallel. We know that, when the lines are parallel, there is no solution.
Answer:
I think it has only one solution
A new store is handing out small gifts to the customers who come in. Elizabeth is handing out pens of various colors. She has determined that the chance of a customer receiving a blue pen is 0.008. Ricardo is handing out tote bags of various colors He has determined that the chance of a customer receiving a blue tote bag is 0.04. What statement describes the likelihood of a customer getting a blue tote bag or blue pen?
Answer:
4.8% probability of a customer getting a blue tote bag or blue pen.
Step-by-step explanation:
We have these following probabilities:
0.008 probability of a customer receiving a blue pen.
0.04 probability of a customer receiing a blue tote bag.
What statement describes the likelihood of a customer getting a blue tote bag or blue pen?
Independent events, so
0.008 + 0.04 = 0.048 = 4.8% probability of a customer getting a blue tote bag or blue pen.
6
3. Javon, Sam, and Antoine are baking cookies. Javon
has 1/2 cup of flour, Sam has 14 cups of flour, and
Antoine has 1 cups of flour. How many cups of
flour do they have altogether?
Answer:
15.5 or 15 and a half cups of flour
Step-by-step explanation:
1/2 = 0.5
14 + 0.5 + 1 = 15.5
Answer: 3 5/12
or
2 17/12
Step-by-step explanation:
hope this helped!!
The probability of an event is
9
50
Describe the likelihood of the event.
o Certain
0 Likely
O Equally likely to happen or not happen
• Unlikely
o Impossible
Please help
Answer:
50
Probable
Equally likely to happen or not happen
Step-by-step explanation:
help me with this root problem....
Answer:
No real roots
Step-by-step explanation:
When graphed, doesn't cross the x-axis
Solve
9x^2 + 3x = 20
Answer:
20 barriles diarios y en los trajes y que es el que
PLEASE HELP, will get brainliest
Answer:
The answer is the first, hope this helps
Step-by-step explanation:
Am I correct? (Perfect Square Form)
Answer:
[tex](x -3 )^2 = 10[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 6x - 1 = 0[/tex]
Required: Express as a perfect square
[tex]x^2 - 6x - 1 = 0[/tex]
Add 10 to both sides
[tex]x^2 - 6x - 1 +10= 0+10[/tex]
[tex]x^2 - 6x +9= 10[/tex]
Expand
[tex]x^2 - 3x - 3x+9= 10[/tex]
Factorize:
[tex]x(x - 3) - 3(x - 3)= 10[/tex]
Factorize:
[tex](x -3 )(x - 3) = 10[/tex]
[tex](x -3 )^2 = 10[/tex]
P = 2l + 2w, when P = 28 ft. and w = 5 ft.
Answer:
9
Step-by-step explanation:
5*2=10 28-10=18 18/2=9
Can someone please help
Answer:
take 121 subtract it from 180 and you get 59 so angle d is 59°. and angle b is 154°
Simplify the following expression:
(i-3) +6i-3(8 - i)
A. 21+7
B. -27 +10;
C. 14 +6;
D. 8 +41
The complex expression (i-3) +6i-3(8 - i) when simplified is -27 + 10i
How to simplify the complex expressionFrom the question, we have the following parameters that can be used in our computation:
(i-3) +6i-3(8 - i)
Express properly
So, we have
(i - 3) + 6i - 3(8 - i)
When the brackets are opened, we have
(i - 3) + 6i - 3(8 - i) = i - 3 + 6i - 24 + 3i
Collect the like terms
So, we have
(i - 3) + 6i - 3(8 - i) = - 3 - 24 + i + 6i + 3i
Evaluate the like terms
So, we have
(i - 3) + 6i - 3(8 - i) = -27 + 10i
Hence, the complex expression when simplified is -27 + 10i
Read more about expression at
https://brainly.com/question/28792378
#SPJ1
Find the area of the parallelogram.
The area of the parallelogram is [a] in2.
Answer:
A = 117in²
Step-by-step explanation:
A = bh
A = 9×13
A = 117in²
13
×9
117
Since it's a parallelogram where going to do the formula b×h.
Answer:
117in²
Step-by-step explanation:
two numbers are in the ratio 3 is to 5 what is the ratio between the squares
I don't get this question
Answer:
Q = 85°
Step-by-step explanation:
P + Q = 180° (angles on the same side of transversal)
95° + Q = 180°
Q = 180° - 95°
Q = 85°
Which of the following shapes is a prism? Select All that apply.
A. Shape 1: Circle
B. Shape 2: Cylinder
CShape 3: Rectangular Box
D. Shape 4: Cube
E. Shape 5: Pyramid
F. Shape 6: Cone
Answer:
C D
Step-by-step explanation:
Dylan opened a credit card account with $700,00 of available credit. Now that he has made
some purchases, Dylan's account only has $539.00 of available credit. What is the percentage
decrease of the amount of available credit in Dylan's account?
A.
23%
B.
17%
C.
30%
D.
77%
which expression would be easier to simplify if you used the commutative property to change the order of the numbers
Answer:
D
Step-by-step explanation:
Answer:
Hi There :)
If your talking about the question:
which expression would be easier to simplify if you used the commutative property to change the order of the numbers
A. -10 (-20) + 1/2
B. 60 + 40 + (-25)
C. 30 + (-12) + 70
D. 1/3 + 2/3 + (- 1/4)
Then the answer would be
C. 30 + (-12) + 70
Hope this helps :)
can somebody please help me write an algebraic expression for the word problem “the quotient of a number and 12”
Answer:
n/12
Step-by-step explanation:
A suitcase is discounted 40 % off the original price, p . Which expression represents the price of the suitcase with the discount?
Answer:
Step-by-step explanation:
b
0.6p is the expression represents the price of the suitcase with the discount
How to calculate perecent discountHow can I figure out a discount of X%?You apply the fundamental formula given above in this situation.Take the original cost.The result is multiplied by the discount and divided by 100.Subtract the updated amount from the starting cost.Your total price is that. Enjoy your discounts!To learn more about discount, refer to https://brainly.com/question/1548141
#SPJ1
Please help!! due today
Answer:
5f + 6g + 12
Step-by-step explanation:
10f - 5f is 5f, you would keep 6g as it is because there are no other numbers to add to it, and 8 + 4 is 12. Hope this helps!! :)
28cm, 62cm, 75cm is this a right triangle
Answer:No
Step-by-step explanation:
A truck can travel 12 miles on a gallon of gasoline. How far can the truck travel on 40 gallons of gasoline? Which operation is best to answer this question?
Answer:
im sorry
Step-by-step explanation:
i dont kno
Please tell the answer
Answer:
Step-by-step explanation:
The person I sent it to couldn't see it either. I'm going to take a chance and say the Chord (AB) and the Tangent line form a 50 degree angle. If this is incorrect, I won't know, from the diagram, what else to try.
If I'm right then <OAB = 40 degrees because 90 - 50 = 40 because <AOC is a right angle (property of radii and tangents).
<ABO also = 40 (the triangle is isosceles by two legs being radii).
That means that BOA = 180 - 40 - 40 = 100
AE←→ is a straight line in the diagram.
What is the sum of the measures that represent the measures of each angle if m∠ABC=2x°, m∠CBD=3x°, and m∠EBD=4x°?
What is the measure of each angle?
Explain how an equation can be written to find m∠CBD.
Answer:
hwqvh bjvs bhs ebf
Step-by-step explanation:
please help i dont get it
Answer:
i got y = 5x but not sure
Step-by-step explanation: