Find the total volume of the composite figure below. Round to the nearest thousandth.
Use the π key.
Answers
Answer:
The volume of the composite figure is approximately 3567.198 cubic feet.
Step-by-step explanation:
The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ([tex]V[/tex]), in cubic feet, figure can be determined by this expression:
[tex]V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l[/tex] (1)
Where:
[tex]r[/tex] - Radius of the circle of the right cone, in feet.
[tex]h[/tex] - Height of the cone, in feet.
[tex]w[/tex] - Width of the cuboid, in feet.
[tex]H[/tex] - Height of the cuboid, in feet.
[tex]l[/tex] - Length of the cuboid, in feet.
If we know that [tex]r = 10\,ft[/tex], [tex]h = 10\,ft[/tex], [tex]w = 20\,ft[/tex], [tex]H = 7\,ft[/tex] and [tex]l = 18\,ft[/tex], then the volume of the composite figure is:
[tex]V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)[/tex]
[tex]V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}[/tex]
[tex]V \approx 3567.198\,ft^{3}[/tex]
The volume of the composite figure is approximately 3567.198 cubic feet.
Related Questions
What is the equation of the line that passes through (3.-1) and is parallel to the line y = 3x + 2?
Answers
Answer:
[tex]y=3x-10[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts1) Determine the slope (m)
[tex]y = 3x + 2[/tex]
From the given line, we can identify clearly that 3 is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're solving for will also have a slope of 3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=3x+b[/tex]
Plug in the given point (3,-1)
[tex]-1=3(3)+b\\-1=9+b[/tex]
Subtract 9 from both sides
[tex]-1-9=9+b-9\\-10=b[/tex]
Therefore, the y-intercept of the line is -10. Plug this back into [tex]y=3x+b[/tex]:
[tex]y=3x-10[/tex]
I hope this helps!
(2,5) (0,-1)
whats the slope?
Answers
Answer:
Step-by-step explanation:
An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)
In this case you have two points (2,5) and (0,-1)
2 = x1 (cause it’s the first x)
5 = y1 (cause it’s the first y)
0 = x2 (second x)
-1 = y2 (second y)
So the slope would be
(5-(-1))/2-0= 6/2 = 3
——— y2=-1, y1= 5|| x2=0, x1=2
x2-x1
Plug in the blanks and dont forget to simplify
What’s the answer hurry
Answers
Answer:
Choice C: Lauren is faster than Kevin, slower than Jeremy.
Step-by-step explanation:
Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.
Slope Formula: (y2-y1) / (x2-x1)
So lets take the table plots (2, 22) and (4, 33) to do this.
(y2-y1) / (x2-x1)
(33-22) / (4-2)
(11) / (2)
The speed of Kevin is 5.5 miles by hour.
Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:
5.5 * 2 = 11 miles per hour
To get the third biker's speed.
Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:
Jeremy: 12 mph
Kevin: 5.5 mph
Lauren: 11 mph
From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.
Which is the correct way to calculate the area of a circle?
Answers
Answer:
Step-by-step explanation:
Answer:
You must find the diameter then half it, so the radius, and then multiply it by 3.14152
Step-by-step explanation:
Which of the following is not a triangle similarity theorem
Answers
Answer:
D. SSA
Step-by-step explanation:
The SSA postulate does not exist because an angle and two sides does not guarantee that the two triangles are congruent. This is because if two triangles have two congruent sides but a non-included congruent side, this does not indicate that it is necessarily congruent.
How long is a pencil the nearest inch and to the nearest centimeters?
Answers
Answer:
A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.
The question says to the nearest inch. Therefore we have to approximate to to a whole number.
7.5, when rounded up to the nearest number, is 8 inches.
Hence, the answer is 8 inches or 19 centinmeters.
Cheers
Hooooooyooo I need help
Answers
Given:
The height of the triangular prism is 15 cm.
The side lengths of the base are 3 cm, 4 cm and 5 cm.
To find:
The lateral surface area of the prism.
Solution:
The lateral surface area of the prism is:
[tex]LSA=Ph[/tex]
Where, P is the perimeter of base and h is the height of the prism.
We know that the perimeter of base is the sum of all sides of the base.
The perimeter of the prism is (3+4+5) cm and the height of the prism is 15 cm.
So, the lateral surface area of the prism is:
[tex]LSA=(3+4+5)\times 15[/tex]
[tex]LSA=(12)\times 15[/tex]
[tex]LSA=180[/tex]
Therefore, the lateral surface area of the prism is 180 square cm.
How many blocks with dimensions of a 3x1x1 can fit in a unit cube?
2
3
6
9
Answers
What is the value of the following expression? (8 + 5 x 9) - 2
Topic: PEMDAS
Please provide an explanation to be rewarded brainly.
Worth: 20 Points
Answers
Answer:
51
Step-by-step explanation:
Parenthesis exponents multiplication division addition subtraction
(8+5x9)-2
(8+45)-2
53-2
51
PLZZZZ HELP!!!
First to answer will get brainly!!!PLZZZZZZ
Answers
Answer:
-7
Step-by-step explanation:
Tyleris making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work,to make the same number of invitations each day. Tylerdrawsa diagram to represent the situation.
Answers
Answer:
Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.
Tyler has to make 8 invitations each day.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Total number of invitations to the fair = 122
Already, 66 invitations has been made.
Remaining invitations = 122 - 66 = 56
56 invitations has to be made in a week or 7 days.
Let x be the number of invitations made each week.
x = 56 / 7 = 8
Hence 8 invitations has to be made each day.
Learn more about Equations here :
https://brainly.com/question/30066982
#SPJ2
Your question is incomplete. The complete question is as follows.
Tyler is making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work, to make the same number of invitations each day. Tyler draws a diagram to represent the situation.
The total of the x's and 66 is 122.
How many total invitations is Tyler trying to make?
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
Answers
The answer is b. because the other ones don't charge money according to the number of miles.
Answer:
The structure that you used in your research paper can also be used for your presentation. For example, just like how your
Step-by-step explanation:
Given the percent of 2/5%. What is it's value as a decimal? What is it's value as a fraction?
Answers
Answer:
2/5% is .004 as a decimal and 1/250 as a fraction
Step-by-step explanation:
2/5% is .4% which is .004 as a decimal
2/5 ÷ 100/1 is the same as 2/5 × 1/100 which is 2/500 or 1/250
Value of fraction:40%
Plzzz HUURRYYY and pls explain
Complete the working to expand and simplify:
3x(4x + 2) + 3(x + 4) = 12x2 +
X +
X +
Answers
As a contestant on a televised game show, Kiara gets to spin the big prize wheel, which has a radius of 2 meters. What is the prize wheel's area
Answers
Answer:
12.57
Step-by-step explanation:
We need to find of area of a circle and the formula for that is pie * radius ^2.
Pie * 2 squared = 12.57 rounded to the nearest hundredth
find the range of these sets of data -2,9,-1,-2000,-6000
Answers
Step-by-step explanation:
the given data is in ascending order=9,-1,-2,-2000,-6000
rang = 9-(-6000)
( from above photo it continue )
The Story of Ben and Arthur- Both save $500 per month at 11% compounded monthly. Ben starts at age 19 and stops at age 26, while Arthur starts at age 27 and stops at age 65.
Answers
Answer:
Results are below.
Step-by-step explanation:
It is not clear what the question is. But, I will assume that we need to calculate the future value of each investment at age 65.
First, we need to calculate the future value of the monthly deposit made by Ben. We will use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= 500
Interest rate (i)= 0.11/12= 0.0092
Number of months (n)= (26 - 19)*12= 84
FV= {500*[(1.0092^84) - 1]} / 0.0092
FV= $62,944.74
Now, the future value of the investment of Ben at age 65:
FV= PV*(1 + i)^n
n= (65 - 26)*12= 468 months
FV= 62,944.74*(1.0092^468)
FV= $4,574,131.31
Finally, the future value of the investment for Arthur:
i= 0.0092
n= (65 - 27)*12= 456
A= 500
FV= {500*[(1.0092^456) - 1]} / 0.0092
FV= $3,484,032.07
Jara quiere fabricar un cohete con cartulina. Para ello ha construido un cilindro de 0,25 metros de radio y medio metro de altura y un cono con el mismo radio y la mitad de la altura. ¿Que volumen ocupa su cohete? Ayudaaa
Answers
Respuesta:
0,114 m³
Explicación:
El volumen del cohete será igual a la suma de los volumenes del cilindro y del cono
Volumen del cilindro
El cilindro tiene un radio (r) de 0,25 m y una altura (h) de 0,5 m. Podemos encontrar su volumen usando la siguiente formula.
Vcil = π × r² × h
Vcil = π × (0,25 m)² × 0,5 m = 0,098 m³
Volumen del cono
El cono tiene un radio (r) de 0,25 m y una altura (h) de 0,25 m (la mitad de 0,5 m). Podemos encontrar su volumen usando la siguiente formula.
Vcono = 1/3 × π × r² × h
Vcono = 1/3 × π × (0,25 m)² × 0,25 m = 0,016 m³
Volumen del cohete
Vcohete = Vcil + Vcono = 0,098 m³ + 0,016 m³ = 0,114 m³
Lines a and b are parallel.
what is the value of x
Answers
Answer:
x = 5Step-by-step explanation:
11x = 90 - 7x11x + 7x = 9018x = 90x = 90/18x = 5Answer:
[tex]\large\fbox{\green{\underline{x = 5}}}[/tex]
Step-by-step explanation:
90 - 7x = 11 x
90 = 11x + 7x
90 = 18 x
90 / 18 = x
x = 5
–––––––––☆–––––––––The sides of a triangle are 2x+4, 5x+2, and 4x-3. What is the perimeter if x=2
Answers
Answer:
25
Step-by-step explanation:
The three sides of a triangle are 2x+4, 5x+2, and 4x-3.
The sum is the perimeter
P = 2x+4+ 5x+2+ 4x-3
Combine like terms
P = 11x +3
Let x =2
P = 11*2 +3
P = 22+3
P =25
Answer:
25
Step-by-step explanation:
Side 1: 2x+4 Side 2: 5x+2 Side 3: 4x-3
Substitute-
2(2)+4 5(2)+2 4(2)-3
Multiply-
4+4 10+2 8-3
Combine Terms-
16 + 12 + 5
=25
Which of the following are solutions to |x+3|= 4x- 7
Answers
mixed number form : 3 1/3
exact form : 10/3
Answer: 10/3 or 3.33
Step-by-step explanation:
To make 12 cookies, you need 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda, what is the ratio of brown sugar is to baking soda is to butter to make 24 cookies is ?
Answers
Answer:
1 cup of brown sugar to 2 teaspoon of baking soda
Step-by-step explanation:
Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.
Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.
The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda
can you help me with this problem please?
Answers
Answer:
PR = 2*36 = 72
SU = (1/2)54 = 27
RS = 36
Step-by-step explanation:
By the Midpoint Theorem, the argent that connects midpoints of the sides of a triangle equals half the parallel side. That said,
PR is the full side that corresponds to midpoint segment TU. Therefore it's twice the distance of TU.SU is the midpoint segment that corresponds to fill side PQ and therefore half the distance.RS is half the the length of PR since S is the midpoint.Which equations are equivalent to his weekly addition of 0.5 km and would correctly determine how many weeks it will take Hector to reach 10 km if he starts at 2.5 km and adds 0.5 km every week? Select all that apply. 0.5x + 2.5 = 10 0.5 – 2.5 = 10x 10 = 2.5 + 0.5x 2.5x + 0.5 = 10 2.5x – 0.5 = 10
Answers
Answer:
C. 10 = 2.5 + 0.5x
Step-by-step explanation:
A. 0.5x + 2.5 = 10
B. 0.5 – 2.5 = 10x
C. 10 = 2.5 + 0.5x
D. 2.5x + 0.5 = 10
E. 2.5x – 0.5 = 10
Total distance Hector covers = 10 km
Distance he has covered = 2.5 km
Distance he covers per week = 0.5 km
Let
x = number of weeks
The equation is given by
2.5 + 0.5x = 10
It can also be written as:
10 = 2.5 + 0.5x
10 - 2.5 = 0.5x
7.5 = 0.5x
x = 7.5/0.5
x = 15 weeks
Answer:
A and C
0.5x + 2.5 = 10
10 = 2.5 + 0.5x
Step-by-step explanation:
hope this helps!
where would the line y=x+7 cross the y axis? how do you know?
Answers
Answer:
At point (0, 7)Step-by-step explanation:
The line crosses with y-axis when x = 0:
y = 0 + 7 = 7The y-intercept is the required point and its coordinates are (0, 7)
is 3 bigger than 3.3
Answers
Answer:
No.
Step-by-step explanation:
3.3 is bigger than 3 by .3: )
Answer:
no.
3.3 > 3
Step-by-step explanation:
Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?
5
- ——-
2
Answers
"A 20-foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the house. What is the measure of the angle formed by the ladder and the ground?" How do I answer this?
Answers
Answer:
Value of θ [Angle of elevation] = 72.54°
Step-by-step explanation:
Given;
Length of foot ladder = 20 feet
Distance of foot from house (Base) = 6 feet
Find:
Angle of elevation
Computation:
Using trigonometry functions
Cos θ = Base / Hypotenuse
Cos θ = Distance of foot from house (Base) / Length of foot ladder
Cos θ = 6 / 20
Cos θ = 0.3
Cos θ = Cos 72.54
Value of θ [Angle of elevation] = 72.54°
WHATS THE AREA PLSSSSS
Answers
Answer:
34 in
Step-by-step explanation:
Trapezoid Area Formula: A= 1/2h (base 1 + Base 2)
A= 1/2(4)* (12+5)
A= 2 *(17)
A= 34 in
I hope this helped :)
Please Help Me With This Problem.
A grocery store receives a shipment of potatoes weighing a total of 180-pounds. The shipment contains six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Write and solve an equation so that you can describe the number of 5-pound bags of potatoes in the shipment. You got this.
Answers
Answer:
10(6) + 5x = 180
60 + 5x = 180
- 60 - 60
---------------------
5x = 120
------------
5 5
x = 24
Step-by-step explanation:
The shipment contains a total of 180 pounds of potatoes. There are two types of bags of potatoes. One weighing 10 pounds and the other weighing 5 pounds. There are 6 bags of potatoes weighing 10 pounds each and x bags of potatoes weighing 5 pounds each. Two numbers can be added up to bring a total of 180 so we can write this equation as 10(6) + 5x = 180. This problem speaks of pounds in particular so that is why 10 and five go in front of the secondary numbers. After that, just solve. The steps are shown above. ^^^ If I am wrong, please let me know. I hope this helps! :D