Find the volume of each composite figure. Round to the
nearest tenth. (Hint) Find the Volume of both figures, then additional step is required to find your answer.
Answers
Answer:
1209.06 cubic feet
Step-by-step explanation:
use the formula for the volume of a cylinder and the volume of a rectangular prism, and then plug the values into that
The volume of the composite figure consisting of a cylinder and a rectangular prisms to the nearest tenth is 1209.1ft³.
What is a cylinder and a rectangular prism?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.1415 )
A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is width, l is length and h is the height
From the diagram, the figure consist of a cylinder and a rectangular prism.
For the cylinder;
Radius r = 4ftHeight h = 4ftVolume of the cylinder V_c = ?For the rectangular prism;
Width w = 14ftLength l = 12ftHeight h = 6ftVolume of the rectangular prism V_r = ?Volume of the cylinder.
V_c = π × r² × h
V_c = 3.1415 × (4ft)² × 4ft
V_c = 3.1415 × 16ft² × 4ft
V_c = 201.1ft³
Volume of the rectangular prism.
V_r = w × h × l
V_r = 14ft × 6ft × 12ft
V_r = 1008ft³
Now, the volume of the composite figure will be;
V = V_c + V_r
V = 201.1ft³ + 1008ft³
V = 1209.1ft³
Therefore, the volume of the composite figure consisting of a cylinder and a rectangular prisms to the nearest tenth is 1209.1ft³.
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Related Questions
A prism has a length of 15 inches, height of 5 inches, and width of 4 inches. The formula for volume of a rectangular prism is V = lwh. The length of the prism is in. The width of the prism is in. The height of the prism is in. The volume of the prism is in.3.
Answers
Answer:
it is 300
Step-by-step explanation:
you must multiply 15 by 4 by 4
The volume of the prism is 300 in³.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The length of the prism is 15 inches.
The width of the prism is 4 inches.
The height of the prism is 5 inches.
To find the volume of the prism, we use the formula.
V = l w h
V = (15)(4)(5)
V = 300 cubic inches.
Therefore,
The volume of the prism is 300 in³.
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Find the interest on a loan of $2500 that is borrowed at 9% for 18 months.
Answers
Answer:
$338.50
Step-by-step explanation:
Simple interest would be i = ($2500)(0.09)(1.5 yrs) = $338.50
4a + 2 < 2- 4a helpppp ppppp
Answers
Answer:
a ≤0 but without the line
Step-by-step explanation:
help plz geometry !!!!
Answers
Answer:
27 ) x = 15°,
28 ) x = 18°
Step-by-step explanation:
27 ) We are given angle measures of 85 degrees, consecutively 6x + 5, each forming a linear pair;
85 + ( 6x + 5 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,
85 + ( 6x + 5 ) = 180 ⇒ take out ( ),
85 + 6x + 5 = 180 ⇒ combine like terms,
90 + 6x = 180 ⇒ subtract 90 from either side of equation,
6x = 90 ⇒ divide 6 on either side of equation,
Solution; x = 15°
28 ) We are given angle measures of 110 degrees, consecutively 3x + 16, each forming a linear pair;
110 + ( 3x + 16 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,
110 + ( 3x + 16 ) = 180 ⇒ take out ( ),
110 + 3x + 16 = 180 ⇒ combine like terms,
126 + 3x = 180 ⇒ subtract 126 from either side of equation,
3x = 54 ⇒ divide 6 on either side of equation,
Solution; x = 18°
Please this is the question sorry didn’t upload last time.
Help very important
Answers
i think number 4. is. a, d, r
Rectangle floor measures 10 1/8 by 13 3/4 feet. If Mary buys 150 ft.² of carpet, will she have enough carpet to cover the floor?
Show Work Please Due Today
Answers
Answer:
YES
Step-by-step explanation:
Calculate the actual floor area: A = (10 1/8 ft)(13 3/4 ft), or, as decimal fractions,
A = (10.125 ft)(13.75 ft) = 139.22 ft^2
Mary's purchase of 150 ft^2 of carpet is more than enough to cover 139.22 ft^2. YES, she will have enough carpet.
Please Help, Math question.
What is the prime factorization of 86? Use * for multiplication.
Answers
Answer:
2 * 43
Step-by-step explanation:
Answer:
2*43
Step-by-step explanation:
Giving away brainliest. Basic question. :)
Answers
Answer:
The area for both shapes = 4
Step-by-step explanation:
Area of triangle 1/2hb
Area of square s^2
triangle: 1/2 *4*2= 4
square: 2^2 =4
PLEASE HELP (picture attached) explain if you can but if not that’s ok:)
Answers
Answer:x=2
Step-by-step explanation:
X=-b/2a
b=-4 a=1 in front of x
X=- - -4/2
X=4/2=2
What is the equivalent decimal of -1\5 and -2\9
Answers
Answer:
1/5=10/50
2/9=20/90
Step-by-step explanation:
1/5 is just a simpler way of saying 10/50 same as 2/9
Factor the algebraic expression 21a + 9
Answers
Answer:
21a + 9
Simplifying
21a + 9
Reorder the terms:
9 + 21a
Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 7a)
Final result:
3(3 + 7a)
HOPE THIS HELP
Answer:
[tex]3(7a+3)[/tex]
Step-by-step explanation:
What is the slope of the line described by the equation below?
y-5 = 6(x-4)
Answers
Answer:
6
Step-by-step explanation:
To solve this, you need to have your equation in slope-intercept form. This is y=mx+b, where m is the slope and b is the y-intercept.
y - 5 = 6(x - 4)
y - 5 = 6x - 24
y = 6x - 19
The slope, m, is equal to 6.
rosa pays a monthly membership fee at a gym. She also pays $5 for each cycling class she takes. in May, she took 4 cycling classes and her total cost for the month was $55. in June, Rosas total cost was equal to twice the membership fee. How many cycling classes did she take?
Answers
Answer:
14 classes
Step-by-step explanation:
if she pays $5 per cycling class than in May she payed $20. $55 - $20 = 35. If in June the cost was double the membership fee than 35 x 2 = 70. Than you do 70 / 5 = 14.
Which Graph represents the unction f(x)= -8/5x+8 with its intercepts?
Answers
Answer:
y-intercept is (0,8) and x-intercept is (5,0)
Step-by-step explanation:
Currently, there are $350$ students in the seventh grade at Winchester Heights Middle School. For the upcoming school year, they are planning to increase the number of seventh graders by $10\%$ .
How many seventh-grade students does Winchester Heights Middle School plan to have in the upcoming school year?
Answers
Answer: 385 students
Step-by-step explanation:
Answer:
Current number of students : 350
The number of students after increasing 10% N:
N = 350 + 10% of 350 = 350 + 350 x 10/100 = 350 + 35 = 385 students
Hope this helps!
:)
Currently, I am 9 times as old as my son. Next year, I will be 7 times as old as my son. How old is my son now?
Answers
Answer:
3
Step-by-step explanation:
3x9=27
4x7=28
Your son is 3 years old now
Step-by-step explanation:
If you do 9 times 3, you would get 27, and when you do 4 times 7, you would get 28. So, it makes sense since you get 1 year older and you are 9 times as old and then you will be 7 times as old. So, right now, your son is 3 years old.
which figures are polygons
Answers
Polygon: a figure formed by coplanar segments
with one distinct interior region
Figure A, Figure B, and Figure D would be considered polygons.
Notice that those figures I mentioned above are
composed of line segments, and nothing else.
In addition, these figures don't have two separate
interior regions and figures that do aren't polygons.
Figure C would not be a polygon because
it's formed by a curve rather than line segments.
What is the solution to the equation x + 4.7 = 6.3?
a. x = 11.0
b. x = 6.3
c. x = 2.4
d. x = 1.6
Answers
The value of X is 1.6
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]x = 1.6[/tex]
Step-by-step explanation:
[tex]x + 4.7 = 6.3 \\ x = 6.3 - 4.7 \\ x = 1.6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
HELP PLZ I NEED HELP QUICK!!!! ILL GIVE U 20 POINTS
Answers
Answer:
B) Z
Step-by-step explanation:
Factor the trinomial
5x2+11x+6
Answers
Answer:
factor by grouping
(x-1) (5x-6)
Step-by-step explanation:
correct me if i am wrong
Find two numbers a and b whose sum a+b is −3, and whose difference a−b is −7.Your answer is
Answers
Answer:
a = -5
b = 2
Step-by-step explanation:
a+b=-3
a-b= -7 +
2a = -10
a = -10/2
a = -5
a + b = -3
-5 + b = -3
b = -3 + 5
b = 2
Help I made it maxed points
Answers
Answer:
B
Step-by-step explanation:
66/4=99/6=330/20=16.5
Since there is a constant ratio between these values, the function is a line, and the equation of that line is w=16.5m, or choice B. Hope this helps!
Answer:
w=16.5
Step-by-step explanation:
All you have to do is divide the number of gallons of water by the number of minutes and you will get your answer.
66/4=16.5
99/6=16.5
330/20=16.5
I hope I've helped.
Factor 2k^2+25k+72 completely
Answers
Answer:
(k + 8) • (2k + 9)
Step-by-step explanation:
I strongly suggest downloading Photomath. It’ll help a lot.
f(x) = x
g(x) = 1
What is the domain of
(g/f)(x)
Answers
Answer: x≠0
Step-by-step explanation:
Makes the equation undefined
The temperature at dawn is -6°F but by noon it is 22°F. What is the difference in
temperatures?
O -16°F
O-28°F
O 16°F
O 28°F
Answers
Answer: 28 degrees farenheit
Step-by-step explanation: add 22 and 6 for the total of how many degrees -6 is from 22.
If the temperature at dawn is -6°F but by noon it is 22°F.Then 28°F is the difference in temperatures
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The temperature at dawn is -6°F
The temperature at dawn in afternoon is 22°F.
We need to find the difference in temperatures.
Difference is nothing but subtracting one number with another number.
Now subtract -6°F from 22°F.
22°F-(-6°F)
Twenty two degree fahrenheit plus six degree fahrenheit
22°F+6°F
28°F
Hence there is 28°F in temperatures. Option D is correct.
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PLEASE ANSWER ASAP!!!!!!!!!!
What is the volume of the following rectangular prism?
Answers
Answer:
44/3
Step-by-step explanation:
The formula of volume of any prism is Bh
B=Area of the base
h=height
So just multiply them together:
So as a mixed fraction you get 14 2/3
Improper fraction: 44/3
Hope this helps!
I AM GIVING OUT BRAINLIEST One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?
-x^2 + 18x + 81
3x^2 - 3x - 168
x^2 - 4x - 4
25x^2 - 30x + 9
x^2 - 14x + 24
Answers
Answer:
3/5
Step-by-step explanation:
First one 18^2 - 4(-1)(81) > 0 so no repeated root
Second one (-3)^2 - 4(3) (-168) > 0 so no repeated root
Third one (-4) - (4) (1) (-4) > 0 so no repeated root
Fourth one (-30)^2 - 4(25) (9) = 900 - 100(9) = 0 repeated root
Note this factors as (5x - 3)^2
(5x - 3)^2 = 0 take both roots
5x - 3 = 0
5x = 3
x = 3/5 = repeated root
The quadratic expression [tex]25x^{2} -30x+9[/tex] has repeated root and the repeated root is 3/5
How to know a quadratic has repeated root ?Let, [tex]ax^{2} +bx+c=0[/tex] is a quadratic.
Then the expression ([tex]b^{2}-4ac[/tex]) is called the discriminant of the quadratic.
If [tex]b^{2}-4ac[/tex] = 0 then we can say that the quadratic has a repeated real root.
Which quadratic has repeated root ?The discriminant of [tex]-x^{2} +18x+81[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex]18^{2}-4(-1)(81)[/tex] = 324+324=648 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]3x^{2} -3x-168[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-3)^{2}-4(3)(-168)[/tex] = 9+2016 = 2025 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]x^{2} -4x-4[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-4)^{2}-4(1)(-4)[/tex] = 16+16 = 32 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]25x^{2} -30x+9[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-30)^{2} -4(25)(9)[/tex] = 900-900 = 0
So, This quadratic has repeated root.
The discriminant of [tex]x^{2} -14x+24[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-14)^{2}-4(1)(24)[/tex] = 196-96 = 100 > 0
So, This quadratic has no repeated root.
What is the repeated root ?The equation [tex]25x^{2} -30x+9[/tex] = 0 has repeated root.
Simplifying the equation we get,
[tex]25x^{2} -30x+9[/tex] = 0
⇒ [tex](5x)^{2}-2(5x)(3)+3^{2}[/tex] = 0
⇒ [tex](5x-3)^{2}[/tex] = 0
⇒ 5x-3 = 0
⇒ 5x = 3
⇒ x = 3/5
The repeated root is 3/5.
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ANSWER QUICK. I NEED ANSWER IN 5 MINUTES.
Answers
Answer:
yes. it is correct.
Answer:
Yes
Step-by-step explanation:
because the plus two just move all the points up two so the vertex would be (0,2) which is what the vertex is
What is the initial value of the sequence?
The points shown on the graph represent the numbers in a
geometric sequence.
1
2
3
8
Answers
Answer:
B) 2
Step-by-step explanation:
the initial value would be the first point and on this graph that first point is (1,2). and you should look at the x-value meaning your answer is 2
Answer:
It's 2
Step-by-step explanation: hope it helps ^w^
60 points
What are the slope and the y-intercept of the linear function that is represented by the equation y = negative 10 x + 1? The slope is –10, and the y-intercept is –1. The slope is –10, and the y-intercept is 1. The slope is –1, and the y-intercept is –10. The slope is 1, and the y-intercept is –10.
Answers
Answer:
2. the slope is -10 and y-intercept is 1
Step-by-step explanation:
hope this helps!
Answer:
B. The slope is –10, and the y-intercept is 1.
Step-by-step explanation:
Our equation is y = -10x + 1. Notice that this is of the form y = mx + b, which is called the slope-intercept form because it literally gives us the slope and y-intercept in the equation:
- m: this is the slope value
- b: this is the y-intercept
Here, m = -10, which means the slope is -10. Also, b = 1, so the y-intercept is 1.
Thus, the answer is B.