Number of balls should fit inside the bin are 216 balls.
Given:
Radius of spherical ball = 16 cm
Height of cylinder = 210 cm
Diameter of opening = 150 cm
Find:
Number of balls should fit inside the bin
Computation:
Volume of sphere = [tex][\frac{4}{3}] [\pi ][r^3][/tex]
Volume of sphere ball = [tex][\frac{4}{3}] [\pi ][16^3][/tex]
Volume of sphere ball = 17164.19 cm³
Radius of cylinder = Diameter of opening / 2
Radius of cylinder = 150 / 2
Radius of cylinder = 75 cm
Volume of cylinder = [tex][\pi ][r^2][h][/tex]
Volume of cylinder = [tex][\pi ][75^2][210][/tex]
Volume of cylinder = 3,712,500 cm³
Number of balls should fit inside the bin = Volume of cylinder / Volume of sphere ball
Number of balls should fit inside the bin = 3,712,500 / 17,164.19
Number of balls should fit inside the bin = 216.293
Number of balls should fit inside the bin = 216 balls (Approx.)
Learn more:
https://brainly.com/question/13338592?referrer=searchResults
Find the decimal number which is exactly halfway between 8.7 and 9.0
Quadrilateral ABCD with parallel sides AB and
CD is shown below.
Quadrilateral RSTU is the image of quadrilateral ABCD after a transformation. Which statement is true?
B
If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU
are not necessarily parallel.
If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS
must be parallel or on the same line.
D
If quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not
necessarily parallel or on the same line.
If quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides
RS and T'U must be parallel.
Answer:
Option DStep-by-step explanation:
The rotation or reflection will change the direction of the image but the translation will leave the corresponding sides parallel.
Now the answer choices:
AIf quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU are not necessarily parallel.
Incorrect. Since RS and TU are parallel sides of same figure, they will remain parallel regardless the mentioned transformation. BIf quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS must be parallel or on the same line.
Incorrect. Since AB and RS are corresponding sides of the figures, the rotation will result in different angle between those sides. CIf quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not necessarily parallel or on the same line.
Incorrect. Since it is just a translation, the corresponding sides will remain parallel. DIf quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides RS and T'U must be parallel.
Correct. Since RS and TU are parallel sides of the same figure, they must remain as is regardless the reflection, rotation or translation.what is the mid point of (27,3) and (18,-1)
Answer:
(22.5 , 1)
Step-by-step explanation:
Midpoint formula= [tex]\frac{x^1+x^{2} }{2} +\frac{y^{1} +2^{2} }{2} =Midpoint[/tex]
[tex]\frac{27+18}{2}[/tex]=22.5
3+-1=2
2/2=1
So, midpoint is (22.5 , 1)
You can also graph it out and use Pythagorean theorem but that would overcomplicate the problem.
In a class of 80 students, 45 are good in math,15 are good in both math and english,13 are good in both math and psychology,16 are good in both english &physchology ,20are good in physchology and 9 are good in all of the three .how many of them are good in mathematics
Answer:
26 students are good in mathematics only.
28 students are not good in any of the three courses.
What is the answer and method for this equation?
Answer:
X = 15/16
Step-by-step explanation:
2(4-8x) + 6 = -1
8 - 16x + 6 = -1
14 - 16x = -1
-16x = -1 -14
-16x = -15
X = 15/16
Answer:
[tex]2(4 - 8x) + 6 = - 1 \\ 8 - 16x + 6 = - 1 \\ - 16x = - 1 - 6 - 8 \\ - 16x = -15 \\ 16x = 15 \\ \boxed{x = \frac{15}{16} }[/tex]
x=15/16 is the right answer.(12m^7-36m) ÷6m
Please answer. Really need help
[tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Step-by-step explanation:
[tex](12 {m}^{7} - 36m) \div 6m[/tex]
➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]
➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]
➡️ [tex](2 {m}^{7} - 6m)m[/tex]
➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]
PLEASEEE HELP!!!!!!!
Temperatures in Verkhoyansk, Russia have been recorded as low as -90°F and
as high as 98°F. What is the difference between the highest and lowest recorded
temperatures in Verkhoyansk?
brainiest to whoever right
Answer:
Area of a triangle
Step-by-step explanation:
1/2bh is used to find the area for a triangle
Simplify the expression.
3 (2 + 9) + 15 simplified is
Answer: (9)/(15)
Step-by-step explanation:
PLEASE HELP
X+11/8 = -3
Show your work in details if you can, I have a hard time understanding this.
Answer:
[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]
maaf jika salah
Answer:
x=-35
Step-by-step explanation:
x+11=-3*8
x+11=-24
x=-24-11
x=-35
Express the formula d = rt in terms of the time, t. Use your formula to find the time when the distance is 40 and the rate is 8.
A)t= 4; 1 = 5
B)t= ; t = 0.2
C)t = dr; t = 320
D)t = d-r; t = 32
Answer:
t = d/r; t = 5
Step-by-step explanation:
Hi there!
1) Isolate t
d = rt
Divide both sides by r
d/r = rt/r
d/r = t
t = d/r
2) Solve for t when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
I hope this helps!
Which angles represent alternate interior angles?
Question 21 options:
G and H
A and D
B and H
C and F
Answer:
A and D
Step-by-step explanation:
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.
(4yz)-3(x)
Y=4, z=2, x=-3
Answer:
=288
Step-by-step explanation:
(4yz)-3(x)
(4(4)(2))-3(-3)
(4x8)x9
32x9
288
Add the Following Fractions:
\large \frac{3}{8}+\frac{2}{8}=?
a. 5/16
Selected:b. 5/8This answer is correct.
c. 6/8
d. 1/8
Hi ;-)
[tex] \frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8} [/tex]
Answer:
[tex] \frac{3}{8} + \frac{2}{8} \\ denomentor \: is \: equal \: so \: we \: can \: add \: it \: \\ \: then \frac{3 + 2}{8} \\ = \frac{5}{8} \\ thank \: you[/tex]
What are the opposite rays
Answer:
ab and ed are opposite rays
Step-by-step explanation:
PLEASE MARK AS BRAINLIRST
Answer:
A pair of opposite rays are two rays that have the 'same endpoint and extend in opposite directions. So, together a pair of opposite rays always forms a straight line
if (a°+10°)and (a°+20°)are supplementry angles ,find them
Step-by-step explanation:
a°+10°+a°+20°=180
becasue sum of angle of suplimentary angles is 180.
2a+30=180
2a=180-30
2a=150
a=75
can someone explain how to do this? (I would like the answer, but an explanation on how you got it too) - R
Answer: When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese
Please Help! I will give you a lot of points if you do!
-It's NOT regular subtraction. You have to use Hindu-Arabic number system. If you don't and just use our regular number system then I will report you and give you a red flag
Answer:
377
Step-by-step explanation:
See attached.
Step-by-step explanation:
510 (base eight)
-111 (base eight)
___
377 (base eight)
Referring to the figure, find the area of the
trapezoid shown.
The shape is 2 triangles. Find the area of each one and add them together.
1/2 x 6 x 10 = 30
1/2 x 10 x 12 = 60
30 + 60 = 90
Area = 90 square inches
Area of Trapezoid = ½ (a + b) h
= ½ (12 + 6) 10
= ½ × 18 × 10
= 1 × 9 × 10
= 9 × 10
= 90 in.²
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄solve for X
2x + 5 = 33
Answer:
X = 8
28
Step-by-step explanation:
Here Is How I did this problem:
33 - 5 = 28
X = 8
2x = 28
To Check my answer This is what I did:
28 + 5 = 33
Hope this helps! :)
There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occuring.
Answer:
5/10
Step-by-step explanation:
for every girl picked a boy is also picked. There are 10 kids so it's a 50% chance it happens
Answer:
50%
Step-by-step explanation:
5/10
*simplify*
1/2
*divide 1 by 2*
0.5
*multiply by 100, or move the decimal twice*
0.5 ---> 5. ---> 50.
50. = 50
so your answer is 50%.
Solve the inequality for x and identify the graph of its solution.
|x+1|>2
Choose the answer that gives both the correct solution and the correct graph.
Answer:
D
Step-by-step explanation:
|x+1|>2
-2>x+1>2
-3>x>1
Option D is correct that is the solution of the inequality |x+1|>2 is x<-3 or x<1.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
What is a solution of an inequality?Solution of an inequality is a value that makes the inequality true.
According to the given question
We have an inequality |x + 1|>2.
The solution set of the above inequality is given by
[tex]|x + 1| > 2[/tex]
⇒ [tex]-2 > x+1 > 2[/tex]
⇒ [tex]-2-1 > x > 2-1[/tex]
⇒ [tex]-3 > x > 1[/tex]
⇒ [tex]x < -3[/tex] or [tex]x < 1[/tex]
Hence, option D is correct that is the solution of the inequality |x+1|>2 is x<-3 or x<1.
Learn more about inequality here:
https://brainly.com/question/20383699
#SPJ2
A circle is inscribed with 3 lines. Point x is at the center of the circle. A vertical line goes through point x to point z on the edge of the circle. A horizontal line goes through point x to point y on the edge of the circle. A diagonal line goes through point x to point w on the edge of the circle.
Which line segment is drawn in the figure?
Line segment Y Z
Line segment W Y
Line segment X Z
Line segment W Z
Answer:
the correct answer is
Line segment X Z
Answer:
Line segment X Z
Step-by-step explanation:
The cost of bowling is $5 per player for shoe rentals and $45 per hour to book a
lane. Suppose a group of f friends go bowling for h hours. Write an expression for
the total cost for the group of friends to go bowling.
Writing an expression consists of combining two or more variables, symbols, or numbers, with one or more mathematical operators to form a mathematical sentence that is based on a specific context
The expression for the total cost for bowling is 45·h + 5·f
The reason the above expression is correct is as follows:
The given parameters are;
The cost of shoe rentals for bowling per player = $5
The cost to book a lane per hour = $45
The number of people in the group of friends = f
The number of hours the friends go bowling = h
Required:
To write an expression for the total cost for the group of friends to go bowling
Solution:
Let the number of lanes the friends book= 1
The total cost, C, is the cost to book one lane at $45 per hour for h hours, plus the cost for the f number of friends to rent one shoe each at $5 per player (person)
Mathematically, C = 45·h + 5·f
The expression for the total cost for the group of friends to go bowling, is therefore;
45·h + 5·f
Learn more about mathematical expressions here:
https://brainly.com/question/20596193
How to find 'w' ?
s is parallel to t
Answer:
110°
Step-by-step explanation:
v is 70°, that is opposite to w. The degree of a line is 180°.
180 - 70 = 110
I hope this helps!
pls ❤ and mark brainliest pls!
what is an acid or a base
an acid is a substance that donates protons ( in the brønsted - lowry definatiom) or accepts a pair of balance electrons to form a bond ( in the Lewis definition ) .
A base is a substance that can accept protons or donate a pair of valence electrons to form a bond . bases can be thought of as the chemical opposite if acids .
hope this helps you
mrk me braniliest plz
Answer:
a acid is a substance that can donate protons . or accepts the balance protons to form a bond .
a base is a substance that can accept protons or donate a pair of valence electrons to form a bond .
I need help as soon as possible pleaseeeeeee!!!!!!!
A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
BRAINLIEST, PLEASE!
Step-by-step explanation:
8x + 2 = 2(21)
8x + 2 = 42
8x = 40
x = 5
In the expression, the value of number is 5.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We can to given that;
The algebraic expression is,
''A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21.''
Now,
Let a number = x
Hence, We can formulate;
⇒ x × 8 + 2 = 2 × 21
⇒ 8x + 2 = 42
Subtract 2 both side,
⇒ 8x + 2 - 2 = 42 - 2
⇒ 8x = 40
Divide by 8;
⇒ x = 5
Thus, The value of number = 5
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Help please and thank you
Answer:
16
Step-by-step explanation:
(x + 4)(x + 4) = x² + 8x + 16
12=-4(-6x-3) please help
Step-by-step explanation:
12=-4(-6x-3)
when minus is multiplied by minus then the result is plus,
12=24x+12
Now, subtract 12 from both sides,
12-12=24x+12-12
0=24x
Now, divide both sides by 24
0/24=24x/24
0=x
Answer and Step-by-step explanation:
First, distribute the negative 4 onto the negative 6x and negative 3.
12 = 24x + 12
Subtract 12 from both sides of the equation.
0 = 24x
Divide both sides of the equation by 24.
x = 0
To check our answer:
-4(-6(0) - 3) = 12
-4(0 - 3) = 12
-4(-3) = 12
12 = 12 ✓
So, x is equal to 0.
#teamtrees #PAW (Plant And Water)
I hope this helps!