Answers
Answer:
[tex]V = 97.911in^3[/tex]
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
[tex]V_1 = l^3[/tex]
Where
l = side length = 5.1
[tex]V_1 = 5.1^3[/tex]
[tex]V_1 = 132.651[/tex]
Next, calculate the volume of the cone using:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
Where
h = 5.1
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 5.1[/tex]
[tex]r = 2.55[/tex]
So, we have:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]
[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]
[tex]V_2 = \frac{729.5805}{21}[/tex]
[tex]V_2 = 34.74[/tex]
The volume of the figure is:
[tex]V=V_1 - V_2[/tex]
[tex]V_1 = 132.651[/tex]
[tex]V = 132.651 - 34.74[/tex]
[tex]V = 97.911in^3[/tex]
Related Questions
help please “SHOW YOUR WORK!”
Answers
Answer:
384π cm³ ≈ 1206.37 cm³
Step-by-step explanation:
Insert the values the problem gives to us.
V = π(12)²(8)/3
⇒ π(144)(8)/3
⇒ 384π ≈ 1206.37
Suppose you asked 100 commuters how much they spend each year and obtained a mean of $167 spent on transportation and a standard deviation of $40. Using the 2 SE rule of thumb, calculate a 95% confidence interval for the mean and select the values that come closest to those that would fill the spaces in the following interpretation: we can be 95% confident that the mean amount of money spent on transportation lies between _____ and _____ .
Answers
Answer:
The correct answer is "$159 and $175".
Step-by-step explanation:
The give values are:
Mean,
= $167
Standard deviation,
[tex]\sigma[/tex] = $40
Number of commuters,
n = 100
Now,
⇒ [tex]SE=\frac{\sigma}{\sqrt{n} }[/tex]
On putting the given values, we get
⇒ [tex]=\frac{40}{\sqrt{100} }[/tex]
⇒ [tex]=\frac{40}{10}[/tex]
⇒ [tex]=4[/tex]
By using the 2 SE rule of thumb, we get
= [tex]$(167 - 2\times 4)[/tex]
= [tex]167-8[/tex]
= [tex]159[/tex] ($)
Or,
= [tex](167 + 2\times 4)[/tex]
= [tex]167+8[/tex]
= [tex]175[/tex] ($)
i.e,
$159 and $175
Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?
Answers
Answer:
(2.5,3.5)
Step-by-step explanation:
Omni calculator
Answer:
(2.5, 3.5)
Step-by-step explanation:
What does (a+b+c)²=?
Answers
Answer:
a²+b²+c²+2ab+2bc+2ca
If m <CGB = 79°, then what is m <DGB?
Answers
Answer:
∠DGB = 101°
Step-by-step explanation:
Given:
∠CGB = 79°
Find:
∠DGB
Computation:
We know that CD is a straight line
So,
∠CGB + ∠DGB = 180
79 + ∠DGB = 180
∠DGB = 101°
the difference of twelve and three times a number and negative 4
Answers
Answer:The answer is going to be 3 and this is how we came to that determination:
We are to subtract 3 times the number from 7 times the number and have it equal 12. So here is the the mathematical sentence to help us get the answer:
7X-3X=12 ; now we are going to subtract the 3 from the 7 on the left hand side of the equal sign:
4X=12 ; now we will divide each side of the equal sign by 4:
4X/4=12/4 and get X =3 ; to prove 3 is the number we are looking for, we will substitute it for X in our original sentence:
7(3)-3(3)=12
21–9=12
12=12
3 is our answer.
Step-by-step explanation:
Amy is a years old.
Zack is 7 years older than Amy.
Using a, write an expression for Zack's age.
Answers
Answer:
x + 7
Step-by-step explanation:
amy is unknown x + 7 equals zack
Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
Answers
Answer:
a. 0.4
b. 0.6
c. 0.6493
Step-by-step explanation:
p(checking work email) = p(A) = 0.40
p(staying connected with cell phone) = p(B) = 0.30
p(having laptop) = p(c) = 0.35
p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16
p(neither A,B or C) = p(AuBuC)
= 1-42.8%
= 0.572
p(A|C) = 88% = 0.88
p(C|B) = 70% = 0.7
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
p(B|A) = p(AnB)/p(A)
= 0.16/0.4
= 0.4
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
p(B|C) = P(C|B)p(B)/p(C)
= 0.7x0.3/0.35
= 0.6
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
p(A|BnC)
= P(BnAnC)/p(AnC)
= p(AnC) = p(A|C).p(C)
= 0.88x0.35
= 0.308
p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)
p(BnC) = 0.7x0.3
= 0.21
p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21
= 0.2
p(A|BnC) = 0.2/0.308
= 0.6493
Answer:
which ever one you want its an opinion answer.
Step-by-step explanation:
a) 25 + 97 - 72
46 -19 + 55
185 - 82 + 39
Answers
Answer:
254
Step-by-step explanation:
Add everytin step by step.
It intersects its midline at (-3.5,-0.8) and it has a maximum point at (4.1,0.7) what is the units
Answers
Answer:
7.7466
Step-by-step explanation:
Hope it helps:)
Solve for the coefficient a in vertex form for the parabola in Daredevil Danny’s practice jump
Answers
Answer:
-8/25 or -0.32Step-by-step explanation:
Vertex is (25, 32)The function in vertex form:
y = a(x - 25)² + 32x- intercepts are 15 and 35:
0 = a(15 - 25)² + 32 or 0 = a(35 - 25)² + 320 = a*100 + 32100a = - 32a = -32/100a = -8/25 or -0.32Old MacDonald had a farm. On this farm he had some cows and chickens. When he “took stock” (counted), the farmer had 15 animals and 44 legs. How many cows and chickens did Old MacDonald have? PLS ANSWER
Answers
Answer:22
Step-by-step explanation:
Answer:
Step-by-step explanation:
let x be chickens and y be cows
x+y=15
x=15-y
2x+4y=44, using x=15-y
2(15-y)+4y=44
30-2y+4y=44
2y+30=44
2y=14
y=7, since x=15-y
x=8
So there are 8 chickens and 7 cows.
The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?
Answers
Then take 80/2=40
So you add 20+40=60
At the end you have 60 democrats and 40 republicans. And to be sure you can add 60+40=100.
A rectangular prism has a length of 6 cm, a width of 5 cm, and a depth of 4 cm. What is its volume? PL HURRY IT IS TIMED
Answers
Answer:
The answer should be 120
Step-by-step explanation: hope this helps
Two gym classes are participating in Field Day. One class has 24 students and the other has 27 students. The gym teachers want to divide the students in each class into the largest possible equal groups, with no students left over. If all the groups have the same number of students, how many students are in each group?
HELP
Answers
Answer:
one class 25 and the other 26
Step-by-step explanation:
That's because if there is 24 students in each class then 3 students will be left in which the other class will take two and the other 1 student
Answer:
Step-by-step explanation:
Class 1: 24 students
Class 2: 27 students
24+27=51
51 divided by 2 = 25.5
25.5 students are in each group
Christine is selling tickets at a museum. She knows that she has sold at least 40 tickets. The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars. If she knows she has sold no more than $720 worth
of tickets, what are the possible combinations?
Answers
Answer:
Adult tickets cost $80, children ticket cost $40
Step-by-step explanation:
Given data
let the number of adults be x
and the number of children be y
so
x+y= 40-------------1
The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars.
14x+ 12y= 720-------2
solve 1 and 2
x+y= 40
14x+ 12y= 720
from 1
x= 40-y
put this in 2 in place of x
14(40-y)+12y= 720
560-14y+12y= 720
collect like terms
-2y= 720-560
-2y= 160
y= -160/2
y= -80
put y= 80 in 1
x+80= 40
x= 40-80
x= -40
Hence Adult tickets cost $80, children ticket cost $40
cual es el resuido de 729÷38
Answers
Answer:
19
Step-by-step explanation:
☺
What is the area of the rectangle?
Answers
Answer:
Area = 396 units²
Step-by-step explanation:
Let's assume:
Length = 2c - 5
Width = 5c + 9
Perimeter = 2(L + W) = 106 units
Thus:
2[(2c - 5) + (5c + 9)] = 106
Find the value of c
2[2c - 5 + 5c + 9] = 106
2[7c + 4] = 106
14c + 8 = 106
14c = 106 - 8
14c = 98
Divide both sides by 14
c = 98/14
c = 7
✔️Area of the rectangle = Length × Width
Area = (2c - 5)(5c + 9)
Plug in the value of c
Area = (2×7 - 5)(5×7 + 9)
Area = (14 - 5)(35 + 9)
Area = (9)(44)
Area = 396 units²
PLZ HELP ME WITH THIS NEED THE ANSWER NOW PLSSSSSSSSS THIS IS 7TH GRADE AMTH
Answers
Answer:
Just by the looks at it P has the greater slope I think but graph it to make sure cause I might be wrong.
Answer:
Function 2
Step-by-step explanation:
A rectangular prism has a
surface area of 287.4 cm'. The width is 9 cm, and
height 1.5 cm. Determine the length,
Answers
Answer:
12.4 cm
Step-by-step explanation:
Answer:
21.2888888889. it is wrong
Step-by-step explanation:
One month Lucy rented 2 movies and video games for a total of $40. The next month she rented 5 movies and 3 video games for a total of $25. Find the
rental cost for each movie and each video game.
Answers
Answer:
the first month it was 10 each for a video game and the 2nd month it was
A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time
Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
300
T(W) =
530-W
At what value of w does the graph have a vertical asymptote ? Explain what this asymptote means in this situation.
Answers
Answer:
Step-by-step explanation:
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours
What is an approximation?An approximation is anything that is similar to but not identical to something else. Rounding can be used to approximate a number.
Given that a plane is going to fly 300 miles at a planned speed of 530 mph. The equation is T(W) = ( 300 ) / ( 530 -W).
The value of approximation will be calculated as
T(W) = ( 300 ) / ( 530 -W).
T(110) = ( 300 ) / ( 530 - 110)
T(110) = (300 ) / ( 420)
T(110) = 0.714
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours.
To know more about an approximation follow
https://brainly.com/question/2457740
#SPJ5
Please help! Marking brainliest if correct.
Answers
Answer:
110 degrees
Step-by-step explanation:
Because these angles are vertical, 5x+15=8x-42. thus, 15=3x-42, 3x=57, and x=19. 5x+15=5(19) +15=110. So, m<CDE=110 degrees.
Answer:
110°
Step-by-step explanation:
Since CDE and FDG are vertical, they are congruent, so:
5x + 15 = 8x - 42
Solve the equation for x
57 = 3x
19 = x
Then solve for one of the angles (I chose CDE but FDG would also work)
5(19)+15
95 + 15
110
It takes Sara 5 1/2hours to drive to her aunt's
house. She has already driven 3 1/2 hours.
How much longer does Sara have left to
drive?
Answers
Answer:
2 hours
Step-by-step explanation:
To solve this question, we can convert the fraction into decimal form momentarily, so that 5 1/2 is now 5.5, and 3 1/2 is now 3.5. We know that Sara has already driven 3.5 hours, and it takes 5.5 to get to her aunts house. To dins how much longer Sara has left to drive, simply subtract the total amount of hours by the hours already completed:
5.5 - 3.5 = 2.0
Meaning, Sara has 2 hours left to drive
Hope this helps :)
Keith has a package of 75 marbles.He gave an equal number of marbles to each of his 8 friends. How many marbles will be left over?
Answers
Answer:
9
Step-by-step explanation:
The number of marble left if Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends, is 3.
What is division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups.
When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.
Given:
Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends,
Calculate the number of marble left as shown below,
The number of marble left = Reminder of (total number of marble / 8)
The number of marble left = Reminder of(75 / 8)
The number of marble left = 3
Thus, the number of marble left is 3.
To know more about division:
https://brainly.com/question/27566440
#SPJ5
In ΔABC , angle C is a right angle.
Which statement must be true?
A.sin A = cos B
B.sin A = tan B
C.sin B = tan A
D.sin B = cos B
Answers
Answer: Choice A. sin(A) = cos(B)
============================================================
Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
sin(A) = opposite/hypotenuse = BC/ABcos(B) = adjacent/hypotenuse = BC/ABSince both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
Deshawn bought 2 packs of markers each pack has 8 markers he gave 3 markers to ami how many markers does deshawn have left?
Answers
Answer:
13
Step-by-step explanation:
2(8)-3= 13
if my answer helped please mark as brainliest.
If the projections of vector à on x, y and z axis are 2,1,2 units respectively, find the angle at which vector à is inclined to the z-axis
Answers
4(x – 3)
need help answering this question
Answers
Answer:
4x-12
Step-by-step explanation:
4 x x is 4x and 4x-3 is -12
Round to the nearest thousandth
5906÷72
Answers
Answer:
82.028
Step-by-step explanation:
hope it helps