Given:
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.
To find:
The volume of the figure.
Solution:
Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.
Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.
If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.
Volume of a cone is
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
where, r is radius of the base and h is vertical height of the cone.
Putting r=6 and h=9, we get
[tex]V=\dfrac{1}{3}\pi (6)^2(9)[/tex]
[tex]V=\pi (36)(3)[/tex]
[tex]V=108\pi[/tex]
Therefore, the volume of the figure is [tex]108\pi[/tex] sq. units.
A solution contains 11 pints of antifreeze and seven pints of water . How many pints Of water must be added to 77 pints Of antifreeze to get a solution with the same concentration.
Please help me with question I don’t get it.
Answer:
49 pints of water
Step-by-step explanation:
that's the answer to the question
Answer: 49 pints
Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.
278×125 k12k12k1k1k21k21k2k1212k1k21kk21k21k21k2k1k21k2
Answer:
275 × 125 = 34,375Hope this helps!! Please consider marking brainliest! Have a good one!!
Step-by-step explanation:
2 7 5
× 1 2 5
+ 1 3 7 5
+ 5 5 0
+ 2 7 5
= 3 4 3 7 5
The cost to rent a moving van is $61 plus an additional $26 per hourIf a moving van rented for 17 hours, what is the cost? Write and solve an equation to find the answer.
Answer:
y = 503
Step-by-step explanation:
y=mx+b
y=26(17)+61
y=442+61
y=503
please answer fast! teehee
Answer:
y = 9
Step-by-step explanation:
∆KLH is congruent to ∆FLH by the Hypotenuse-Leg Congruence Theorem.
Therefore,
m<KHL = m<FHL
Thus:
6y = 4y + 18
6y - 4y = 18 (subtraction property of equality)
2y = 18
y = 18/2 (division property of equality)
y = 9
Answer: teeheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Yo u soooo cool wannaaaaaa be be friends itsa song LOL..........
I don’t get this please help me
Answer:#1: 1225
#2: 1149
Step-by-step explanation:
Hope this helps! :) ❤❤❤
If we find that the null hypothesis, Upper H Subscript 0 Baseline colon beta Subscript j Baseline equals 0, cannot be rejected when testing the contribution of an individual regressor variable to the model, we usually should:___________
Answer:
Remove the variable from the Model
Step-by-step explanation:
Normally, when considering which variable to keep and which one to drop when considering testing of the contribution of an individual regressor variable to the model, generally speaking we use one explanatory variable for between 10-15 observations.
Now, before we run our regression, we would need to run correlation analysis between all explanatory variables to detect if there's any multicollinearity, and also between the dependent variable and the regressors in order to determine the most important predictors to be included in the regression.
So after the analysis, for the null hypothesis not to be rejected, we will remove the variable from the Model.
You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y after x seconds.
Find the quadratic function y=ax^2+bx+c whose graph passes through the given points.
1 -> 339
3 -> 271
4 -> 189
Answer:
1
Step-by-step explanation:
QUESTION 10 of 10: You have a need to purchase 30 units of a product and have them delivered to your company in five days. The sale price is $35 each. Sales tax on the product is 8%. Shipping price is $15. But there is also a 25% rush charge on the sales price added for deliveries less than seven days, which is also taxable. What will be the total cost of this purchase? O a) $1,050.00 b) $1,327.50 Oc) $1,396.50 O d) $1,432.50
Answer: d) $1,432.50
Step-by-step explanation:
Sales price = $35
25% rush charge = 35 * 25% = $8.75
Rush charge is taxable = (35 + 8.75) * 8% = $3.5
Total purchase price per unit = 35 + 8.75 + 3.5 = $47.25
Total cost = Total Purchase + Shipping
= (47.25 * 30) + 15
= $1,432.50
5y + 3y + 5 ≤ ‐2(2y + 4)
Answer:
y≤−13/12
Step-by-step explanation:
Answer:
y ≤ -13/12 or y = (-oo, -13/12]Step-by-step explanation:
5y + 3y + 5 ≤ ‐2(2y + 4)8y + 5 ≤ - 4y - 88y + 4y ≤ -8 - 512y ≤ -13y ≤ -13/12ory = (-oo, -13/12]Simplify:
3(8) 0 • (3) –2
a–27
b24/9
c–216
d 1/3
Answer:
-2a-27b.2^3/3c-2161/3
. A fence encloses a triangular field. There is
a vertical wooden fence post at each corner
(vertex) of the field, and vertical
Posts
all
along the fence, placed 5 feet apart. If the
sides of the field measure 20 feet by 35 feet
by 25 feet, how many posts are there
altogether?
Answer:
16 postsStep-by-step explanation:
Sides are:
20 ft, 25 ft and 35 ftThere are following number of posts on each of the sides:
20 ft side ⇒ 20/5 = 425 ft side ⇒ 25/5 = 535 ft side ⇒ 35/5 = 7Total number:
4 + 5 + 7 = 16 postsHey, can any brainliest help me?
Answer:
A
Step-by-step explanation:
I need answer as quick
Answer:
C
Step-by-step explanation:
(x+7)(x+1)(x+4)=
x^3+12x^2+39x+28 or C
Answer:
C
Step-by-step explanation:
Given
(x + 7)(x + 1)(x + 4) ← expand the second/ third factors using FOIL
= (x + 7)(x² + 5x + 4)
= x(x² + 5x + 4) + 7(x² + 5x + 4) ← distribute both parenthesis
= x³ + 5x² + 4x + 7x² + 35x + 28 ← collect like terms
= x³ + 12x² + 39x + 28 → C
Complete the pattern. 1, 2, 4, 8, 16, __, __, __
Answer:
1,2,4,8,16,32,64,128
Step-by-step explanation:
You just multiply the number by two to get the next number in the pattern
an angle measures 94°. what is the measure of its supplement?
Answer:
86
Step-by-step explanation:
180-94
G
Use the graph to answer the question.
y
6
R
5
4
3-
2
1
O
3
What are the coordinates of point R on the graph? Choose numbers to move to the lines to answer the question,
5
6
0
1
2
Answer: 0,5
Step-by-step explanation:
Someone help plzzzzz
Answer:
for the first box the answer is 4x but I dont know the y intercept
Step-by-step explanation:
get 2 points the do y2-y1/x2-x1 then you get your x
X3.1.PS-7
Question
A local little league has a total of 60 players, of whom 40% are right-handed. How many
right-handed players are there?
What is the slope of the line in the graph?
PLEASE HURRY
Enter the slope of the line through the points (4, 15) and (4, 12). *
Answer:
-3/0 is the slope....or just -3.
Step-by-step explanation:
slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.
10 points pls help me this is urgent if i don’t do this i won’t pass
Answer:
Here's something to help you
Step-by-step explanation:
I'm using the second question as an example.
To find the Unit Rate, you have to divide the amount of money by the amount of whatever the product is
5.99/8= 0.74875
Since the question says to round it to the nearest hundredth, that means the price per unit (unit rate, or the price for one battery here) would be about $0.75. Simple, right?
HELPPP please dont skip
Answer:
B
Step-by-step explanation:
Trust
The circumference of a circular piece of plot is 440m. find the area
pie is 22/7
Answer:
Step-by-step explanation:
Circumference = 2pi r
440 = 2 *22\7 *r
70 = r
Area= pi r^2
Area= 22\7 *70*70
Area =15400
Pls hurry I’m being timed
Answer:
I think the answer is A
Step-by-step explanation:
makes sense
C. Use the activity series of metals to predict the products of the following single-replacement
reaction. Explain your answer. (1 point)
NiCl2 + Fe →
Answer: NiCl2 + Fe
Iron is above nickel in the activity series, so iron will replace nickel like this:
NiCl2 + Fe → FeCl2 + Ni
Cu(OH)2 is insoluble, so it will form a precipitate.
Step-by-step explanation:
hope this helps =)
Offering Brainliest , a 5 star review, and a like on your answers if you can successfully answer these last 2 simple coordinate questions and show some work.
Answer: pretty sure it's -1,1
M ( 3 , 1 )
Step-by-step explanation:
Answer:
J ( -1 , 1 )
M ( 3 , 1 )
Explanation:
When moving coordinates left = subtract from previous X position
When moving coordinates right = add from previous X position
When moving coordinates up = add from previous Y position
When moving coordinates down = subtract from previous Y position
find the slope of the line please help!
Answer:
3/8 or .375
Step-by-step explanation:
I'm right in Clare eponymous and lemonade on the street they have to recipes to choose from Emma's recipe called for the juice of five lemons and two cups of water close recipe calls for the juice of 2 lemons and what were the first breast recipe taste more lemony
Answer:
1234567
Step-by-step explanation:
Recent test scores on the Law School Admission Test (LSAT) are normally distributed with a mean of 162.4 and a standard deviation of 15.9. What is the probability that the mean of 8 randomly selected scores is less than 161?
Answer:
0.40166
Step-by-step explanation:
When given random number of samples, we solve using the z score formula:
z = (x-μ)/σ/√n where
x is the raw score= 161
μ is the population mean = 162.4
σ is the population standard deviation = 15.9
n is random number of samples = 8
Hence,
z = 161 - 162.4/15.9/√8
z = -0.24904
Probability value from Z-Table:
P(x<161) = 0.40166
The probability that the mean of 8 randomly selected scores is less than 161 is 0.40166
Martha read 1/6of her library books on Saturday and 5/12 of her book on Sunday, how much more does Martha have left to read
Answer: She has 5/12 left of her book to read as well
Step-by-step explanation:
Martha read 1/6 books on Saturday and 5/12 books on Sunday, then the books left to read will be 5/12.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
Books read by Martha on Saturday = 1/6
Books read by Martha on Sunday = 5/12
Then, the number of books left to read is,
1 - (1/6 + 5/12)
Take LCM as 12,
[12 - (2 + 5)]/12
= (12 - 7)/12
= 5 / 12
To know more about arithmetic operations:
https://brainly.com/question/25277954
#SPJ2