Answer:
The volume of the resulting cylinder is 385 cm³
Step-by-step explanation:
The formula of the rule of a cylinder is V = π r² h, where
r is the radius of its baseh is the height of itWhen a rectangular paper folded to form a cylinder, then one of its dimension will be the circumference of the base and the other dimension will be the height of the resulted cylinder
∵ ABCD is a rectangle
∵ It is folded where AB coincides with DC
∴ AB is the height of the resulted cylinder
∴ BC is the circumference of the base of the resulted cylinder
∵ AB = 10 cm
∴ h = 10 cm
∵ BC = 22 cm
∴ The circumfrence of the base = 22 cm
∵ The circumference of a circle = 2 π r
→ Equate the rule by 22 to find r
∴ 2 π r = 22
∵ π = [tex]\frac{22}{7}[/tex]
∴ 2 × [tex]\frac{22}{7}[/tex] × r = 22
∴ [tex]\frac{44}{7}[/tex] r = 22
→ Divide both sides by [tex]\frac{44}{7}[/tex]
∴ r = 3.5 cm
→ Use the formula of the volume above to find the volume of the cylinder
∵ V = [tex]\frac{22}{7}[/tex] × (3.5)² × (10)
∴ V = 385 cm³
∴ The volume of the resulted cylinder is 385 cm³
Which of the followin statements are true about the equation 10x + 45x - 13 = 11(5x + 6) *
Step-by-step explanation:
The given expression is :
10x + 45x - 13 = 11(5x + 6)
We can simplify it as follows :
Opening parenthesis on RHS
10x + 45x - 13 = 55x + 66
Taking like terms together,
55x-55x = 13+66
0 = 13+66
The given expression has no solution, as the variable cancels out woh each other. It is a meaningless expression.
The X coordinate of a point P on X axis is 4 and the y coordinate of a point Q on y axis is 3. Find the distance of PQ.
Answer:
5 units
Step-by-step explanation:
Since The X coordinate of a point P on X axis is 4 and the y coordinate of a point Q on y axis is 3 the points are
P (4 , 0) and Q(0 , 3)
The formula to calculate distance between two points
[tex]PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\PQ=\sqrt{(0-4)^2+(3-0)}\\PQ=\sqrt{(4)^2+(3)^2}\\PQ=\sqrt{16+9} \\PQ=\sqrt{25} \\PQ=5\ units\ \\[/tex]
IMPORTANT!
As we take the square root of 25 we get two values +5 and -5 we always take the positive value because distance can never be negative.
Please helpppp !!!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
This is a duplicate of one I have done for you
BF = 3*HF
BF = 3*6
BF = 18
BRAINLIEST TO THE RIGHT ANSWER!! PLEASE HELP ASAP!
(needs to be an equation btw)
Translate the following sentence into an inequality: Twice a number plus
two is less than the difference of x and six.
Answer:
hey your really cute thats all
Step-by-step explanation:
;) love you bubs see you someday, now
Please help with this question (only b and c) please
Answer: they are equal
Step-by-step explanation:
Since they are on opposite sides you just have to measure one and you got the answer to question b
Answer:
they are eqaul
Step-by-step explanation:
Can you please help due at 1130
Answer:
y-8 = 5(x+3)
Answer:
y+3=-5(x-8)
Step-by-step explanation:
Have you experienced climbing a hill, a mountain, stairs or ladders? How about
pushing someone on a wheelchair down the ramp? Which do you think is difficult to climb,
a very slanting ladder or a less slanting ladder? Do you think there would be difference in
speed when you walk on a flat ground than walking down a hilly road? Would it be possible
to walk on the wall? What danger would it cause?
15
In this lesson, you will find out the answers to these questions and determine the
importance of learning the slope of a line and its applications.
HELP 60 PTS Write ln (a^2 b^3)/cd in expanded form. SHOW ALL WORK TO RECEIVE CREDIT.
Answer:
the expanded form is (a^2 b^3)/cd = 0
Step-by-step explanation:
Answer:
2ln a + 3ln b - ln c - ln dStep-by-step explanation:
Expanding the given expression:
ln (a^2 b^3)/cd =ln a^2 + ln b^3 - ln cd =2ln a + 3ln b - ln c - ln d
8> -1; Subtract 8 from both sides.
Answer:
0 > -9
Step-by-step explanation:
8 > -1
-8 -8
0 > -9
One hundred people are recruited for an experimental study to determine whether
exercising 30 minutes before lunch or 30 minutes after lunch will help improve heart health more. They will be split into two groups that do not necessarily need to be the same size. One group will exercise and then eat, and the other group will do the same exercises after eating instead. After a month, each person's heart health improvement will be assessed by the same doctor, and the groups will be compared. The participants' names will be on a numbered list based on the order in which they agreed to join the experiment.
Select all the methods that can be used to randomly assign people in the experimental study into two groups. (select multiple answers)
Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after
lunch
Participants are divided based on their birth month. Those born in January through June will exercise before lunch, and those born in July through December will exercise after lunch.
Participants choose which group to join based on convenience for their work or school schedule.
The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.
The odd-numbered people will be in the group that exercises before lunch, and the even-numbered
people will be in the group that exercises after lunch.
Answer:
B.) Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after lunch.
D.) The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.
Step-by-step explanation:
These are all the random ones I picked.
The two methods that can be adopted are Option 1 and 3
What do you understand by Random sampling ?Random Sampling is the sampling method where samples are chosen randomly.
each unit has an equal chance of being selected in a sample.
It is given that
One hundred people are recruited for an experimental study to determine whether
exercising 30 minutes before lunch or 30 minutes after lunch will help improve heart health more.
They will be split into two groups that do not necessarily need to be the same size
the methods that can be used to randomly assign people in the experimental study into two groups.
1. Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after lunch
2.The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.
Therefore Option 1 and 3 are the two methods that can be adopted.
To know more about Random Sampling
https://brainly.com/question/12719656
#SPJ2
2. What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the
initial deposit is $1000?
O $1300.50
N.
O $1020.11
O $1012.52
O $1348.07
Answer:
You deposit $1000 in a savings account that earns ... Balance at. End of Year. = Principal + Annual. Interest. = $1000 + $1000(0.06) ... balance in an account that earns interest compounded annually after t years. P = Principal (initial deposit) ... 15. 4.8. —. 12. 16. 268.68 ⋅72. 17. MULTIPLE CHOICE Which graph represents ...
Step-by-step explanation:
What is the area of the trapezoid?
Answer:
A=30
Step-by-step explanation:
A=a+b
------- x h
2
3+7
------- x 6
2
10/2=5
5 x 6 = 30
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a 4-foot wall?
Answer:
16 tiles
Step-by-step explanation:
Divide the length of the wall by the width of one tile.
4 / 1/4 = 4/1 * 4/1 = 16/1 = 16
Answer: 16 tiles
Pedro has a student loan of $62,845. This loan has a simple interest rate of 7% per year. What is the amount of interest that Pedro will be charged on this loan at the end of the year?
find Sp if Mp: Rs 650 & dis 2.5%
Answer:
Mp= Rs 650
Dis= 2.5
Sp=?
Now,
Dis=Mp-Sp
Sp=Mp-Dis
=650-2.5
=647.5
Answer:
answer is 633.75 Rs.
Step-by-step explanation:
650- 2.5/ 100× 650 650-16.25 = 633.75 RS. the selling price of the item is 633.75 Rs
Which equation has no solution
Answer:
The first option has no solution.
Step-by-step explanation:
The absolute value of any number, whether it be positive or negative, results as positive.
With the equation listed, you CAN NOT obtain a negative number as your result, therefore this equation has NO SOLUTION.
#teamtrees #WAP (Water And Plant)
It costs $11 to rent a canoe and $6.50 to use the canoe for an hour. You have $24. Write an equation that represents the number h of hours you can rent the canoe.
Answer: 11 + 6.50h = 24
You can ride on the canoe for 2 hours.
Step-by-step explanation:
24-11=13
13 divided by 6.50 is 2
So 11+6.50(2)=24
how many years old is Earth
Answer:
OLD
Step-by-step explanation:
Answer:
4.543 billion years
Step-by-step explanation:
Which is the graph of the function f(x) = x^3 -3x^2-4x
Answer:
b
Step-by-step explanation:
Help me solve this problem please
Answer:
The second one .......
I need not just the answer but the work written out
Answer:
A(3) = -6 + (3 - 1) (5)
-6 + (2)(5)
-6 + (10)
4
A(4) = -6 + (4 - 1) (5)
-6 + (3)(5)
-6 + 15
9
A(10) = -6 + (10 - 1) (5)
-6 + (9)(5)
-6 + 45
39
4. Compare: 63% and 0.8 *
Answer:
.8>63%
Step-by-step explanation:
Answer:
63% is greater 0.8
Step-by-step explanation:
Hope it helps! :)
Round 729 to the nearest 100
Answer:
700
Step-by-step explanation:
700
April took out a $600 loan from the bank. At the end of 1 years, she pays back the principal, plus $12 simple interest. What was the interest rate?
Answer:
The interest rate r = 0.02 or 2%
Step-by-step explanation:
Given
P = $600
I = $12
t = 1 year
To determine
Interest rate = r
Using the formula
I=Prt
r = I / Pt
substituting I = 12, P = 600, t = 1
r = (12) / (600 × 1)
r = 12/600
r = 0.02
Thus, the interest rate r = 0.02 or 2%
expand and simplify 5(2x+1)-2(3x-6)
Answer:
4x + 17
Step-by-step explanation:
10x+5-2(3x-6)
10x + 5-6x+12
An algebraic expression that contains variables is called
Answer:
An algebraic expression that contains variables is called coefficients.
help me out on this :)
Answer:
Answer is B
Step-by-step explanation:
y = -1
Jonah and his sister are going to the amusement park. They each purchase 2 tickets at $1.25 each. Then, they each get a soda for $3.50 a piece. How much did they spend all together?
Answer:
$12.00 all together.
Step-by-step explanation:
there is only 2 people him and his sister.
They both purchase 2 ticket for $1.25
so 4 tickets all together
1.25x4=$5
They they both get one soda for $3.50
$3.50+$3.50=$7
$7+$5=12
So they spent $12
A proportional relationship is linear.
True or False
Answer:
True
Step-by-step explanation:
Yes, A proportional relationship is linear.
