Answer:
32 solid balls are formed.
Step-by-step explanation:
Let suppose that volume of the cone is equal to the total volume of balls, of which we derive the following formula:
[tex]\frac{1}{3}\cdot \pi\cdot R^{2}\cdot h = \frac{1}{6}\cdot \pi \cdot n \cdot D^{3}[/tex] (1)
Where:
[tex]R[/tex] - Radius of the base of cone, measured in centimeters.
[tex]h[/tex] - Height of cone, measured in centimeters.
[tex]D[/tex] - Diameter of sphere, measured in centimeters.
[tex]n[/tex] - Number of balls, no unit.
Then, we clear the number of balls:
[tex]2\cdot R^{2}\cdot h = n\cdot D^{3}[/tex]
[tex]n = \frac{2\cdot R^{2}\cdot h}{D^{3}}[/tex]
If we know that [tex]R = 12\,cm[/tex], [tex]h = 24\,cm[/tex] and [tex]D = 6\,cm[/tex], then the number of balls is:
[tex]n = \frac{2\cdot (12\,cm)^{2}\cdot (24\,cm)}{(6\,cm)^{3}}[/tex]
[tex]n = 32[/tex]
32 solid balls are formed.
An oval track is made by endosing semicircles on each end of a 50 m by 100 m rectangle. Find the area endowed by the track. Use 3.14 fotz
The area ended by the track is
(Pound to the nearest hundredth as needed.)
Answer:
66
Step-by-step explanation:
edmentum
Answer: A=6,612+3.14(29)^2
A=6,612+3.14*841
A=6,612+2,640.74
A=9,252.74 m^2. ans.
--------------------------
IF the semicircircle is on the 116m end then just replace the 58 by 116.
Step-by-step explanation:
Can someone pls help me the info is in the photo pick A B C or D select all that applies.
Answer:
well its a
Step-by-step explanation:
its a c and d
Answer:
3 & 4
hope this helps :)
3. Jared played well at today’s basketball game. He scored twice as many points as he did last week—and then he scored three more, for a total of 41 points! a. Write an equation that you can use to find out how many points Jared scored in last week’s game. b. How many points did Jared score in last week’s game?
Answer:
12 and 2/3 points
3x+3=41
Step-by-step explanation:
x=last week
2x+3=this week
x+2x+3=41
3x+3=41-e
3x=38
x=12 and 2/3
12 and 2/3 points
Lin runs 12 laps around a track in 15 minutes.
A. How many minutes per lap is that?
B. How many laps per minute is that?
C. If Lin runs 20 laps at the same rate, how long does it take her
Answer:
it will take 25.2 minutes for Lin to run 21 laps
Step-by-step explanation: give crown plsplsplsplsplsplsplsplsplspls, also have a good day!
Natalia has 15,000 centimeters of yarn. How many meters of yarn does she have?
O 150 meters
O 15 meters
O 0.15 meter
O 1,500 meters
DO NOT SIMPLIFY YOUR ANSWERS
Sam owns a canoe rental company with 120 boats. He has 55 wood boats, and the rest are fiberglass. What is the ratio of...
fiberglass boats to wood boats?
total boats to fiberglass boats?
wood boats to other boats?
wood boats to total boats?
*answers are NOT TO BE SIMPLIFIED. YOU MUST use the colon key. . NO SPACES
Oulz saved
Answer:
Step-by-step explanation:
13/11,24/13,11/13,11/24
Answer:
65:55, 55:65, 55:120
Step-by-step explanation:
Fiberglass boats are = 65 because 120-55=65
Fiberglass to wood means that there is a 65:55 ratio because there are 65 fiberglass boats and 55 wood boats
wood to other, this is kind of a trick question, but its 55:65 because there are 65 other boats and 55 wooden boats
wood to total, this is 55:120 there are 55 wood boats and 120 total boats.
3) Barbara can walk 3,200 meters in 24 minutes. How far can she walk in 3
minutes? (journal pg. 49)
+
320 meters
400 meters
640 meters
720 meters
Answer:
400 meters
Step-by-step explanation:
We know that Barbara can walk 3,200 meters in 24 minutes . And are being asked to see how far she can walk in 3 minutes.
Create the unit rate. Since Barbara can walk 3,200 in 24 minutes and we're trying to figure out how many meters she walks in 3 mintues, make the meters "M"
[tex]\frac{3200}{24} = \frac{M}{3}[/tex]
Let's do something that can make 24 mintues go to 3 minutes, this would be dividing 24 by 8, do the same with the numerator :
[tex]\frac{3200/8}{24/8}[/tex]
[tex]\frac{400}{3}[/tex]
Therefore Barbara can walk 400 meters in 3 minutes,
In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .
Answer:
74.0°
Step-by-step explanation:
In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the nearest 10th of a degree
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.
Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:
[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.
Using sine rule, we can find ∠K:
[tex]\frac{k}{sin(K)}=\frac{j}{sin(J)} \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)} \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o \\[/tex]
Find the solution to the system by graphing
Is the relationship between the number of tickets sold and the number of hours proportional? If so, how many tickets were sold in 8 hours?
Answer:
Answer: Yes, the amount of money is proportional to the number of hours worked because there is a number.
Step-by-step explanation:
A relay race is 1/4 miles long. There are 4 team members that have to run it. If each team member runs the same distance how many miles will each person run?
Answer:
1/16 miles
Step-by-step explanation:
1/4 ÷ 4 = 1/16
Answer:
1/4 mile
Step-by-step explanation:
Find the next three terms in the sequence below.
[tex]\frac{21}{2} , \frac{19}{3}, \frac{17}{4} , 3, . . .[/tex]
Answer: 13/6
Step-by-step explanation:
Based upon the previous sequence.
1.there is a constant decrease of two in the numerator
2. There is a constant increase of one in the denominator
to find the fourth number in the sequence I used One of the numbers from the previous to determine the answer.
17/4 — —> then I followed the pattern and determine what fraction 3 was . . before it was converted into a whole number.
which would be 15/5 —> Now considering equations that are written like this also mean division, because in this case division is possible the answer would be 3, which would make the whole number 3 instead of 15/3. considering it was an improper fraction.
____________________________________________________________
Now If 15/5 wasn’t converted into 3, The answer to the sequence would be 13/6. If you follow the pattern like I said before there is a certain amount of increase and decrease so 13/6 will be your answer. The only reason is not a whole number because 13 can’t be divided by six to get a whole number.
Three cans of cat food cost $5.00 how muck will carol spend on 60 worth of cat food
Answer:
$100.00
Step-by-step explanation:
we know that 3 cans are equal to $5.00 and 60 is 20 times 3 and so 5*20 is 100.
HELP MEEEEEE PLEASEEEEEEE
Answer:
65 is the correct answer
WILL GIVE BRAINLIST DUE IN A COUPLE MINS
a taxi. service charges Rs 100as an initial fee and 50 Rs for 1 km.write an algerebaic expression for the total amount that has to paid for journey of X meters
Answer:
y=20+(Total distance−1)12 [(Total distance-1), As 1
st
kilometer is charged at Rs.20]
y=20+(x−1)12
y=12x+8
when x=16, y=200
solution
Step-by-step explanation:
i hope it's help...
How many roots does this graph have ?
Answer:
3
Step-by-step explanation:
What expressions are equivalent to 2 to the power of 6
A. 6x6x6x6x6x6
B.2x2x2x2x2x2
C.2x6
D.4x16
E.12x12
F.8x8
The expression are equivalent to 2 to the power of 6 is,
B. 2x2x2x2x2x2.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
We also know that a multiplied by a 'n' number of times can be written
as aⁿ.
Now, 2 to the power of 6 in exponent form is 2⁶ which states 2 is multiplied by 2, 6 times.
Therefore, From the given options the expression that is equivalent to
2⁶ is 2x2x2x2x2x2.
learn more about exponents here :
https://brainly.com/question/5497425
#SPJ2
hi ansswer for this quick i will mark u as brainlest
Answer:
Smallest B. 300,000
Larger C. 1,000,002
Largest A. 3,000,000
Step-by-step explanation:
A. 100 × 30,000
= 3,000,000
B. 3 × 100,000
= 300,000
C. 1 million + 2
= 1,000,000 + 2
= 1,000,002
Arrange from smallest to the largest
Smallest B. 300,000
Larger C. 1,000,002
Largest A. 3,000,000
hannah buys 2 dozen roses. Of these 3/4 roses, are red, and the rest are white. How many white roses does she buy?
Answer:
6 white roses
Step-by-step explanation:
Well 2 dozen is 24 and 24 divided by four is 6. And there were only 1/4 of white roses in the 24
Answer:
2-3/4=3/2
Step-by-step explanation:
just do this and oh whats that the A plus bus
Is 3 a factor of 14t-20?
Yes
No
Answer:
No
Step-by-step explanation:
I dont really know
Simplify the expression: 4s + 5t + 6 - 4t
how many solutions does 5x+1=5x-2 have
one solution
no solution
many solutions
Answer:
no solution
Step-by-step explanation:
plz mark brainliest! :)
16% of 23
please helpppppp
1% of the same number is 4.6
Answer:
3.68
Step-by-step explanation:
Make 16% a decimal then multiply by 23
.16*23=3.68
What's the work and answer for this problem with the Pythagorean theorem
Answer:
b = 3
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
[tex]12^2+b=15^2[/tex]
[tex]15^2 - 12^2 = 3[/tex]
[tex]b = 3^2[/tex]
hope this helps :)
Answer:
the answer is b=3
hope this helped bye
All books are on sale for 25% off. If Pam bought a book originally priced at $32 and had a coupon for another 25% off, how much did she pay (not including sales tax)?
Answer:
$24
Step-by-step explanation:
if you multiply 32 by .25 you get 8 which i subtracted from 32 to get the original price
Answer:$18
Step-by-step explanation:
32 * (0.75) * (0.75) = 18
Clear
The perimeter of a regular octagon is 88 mm. How long is each side?
Answer:
11 mm
Step-by-step explanation:
An octagon has 8 sides. This mean that we do 88 divided by 8 to get the length of each side which is 11 mm.
PLS HELP QUICK !!
Which relationships describe angles 1 and 2?
Select each correct answer.
a. adjacent angles
b. supplementary angles
c. complementary angles
d. vertical angles
sewing a border of ribbon onto her rectangular picnic blanket. The long side of the blanket is 70cm and the short side is 40cm. How much ribbon will she need?
Answer:
[tex]220[/tex] cm
Step-by-step explanation:
We need to find the perimeter of the rectangular blanket in this case because a border is being sewn onto the blanket. The perimeter of a rectangle can be calculated by multiplying the sum of the rectangle's length and width by 2. As an algebraic expression, that would be [tex]2(l+w)[/tex], where [tex]l[/tex] is the rectangle's length and [tex]w[/tex] is the rectangle's width. We are given that [tex]l=70[/tex] and [tex]w=40[/tex]. Therefore, [tex]2(70+40)=2*110=220[/tex] cm of ribbon will be needed. Hope this helps!
Find the missing side length.
12
15
Answer:
you need to show the shape or somet or else I can't rlly help
Answer:
If the hypotenuse is 15 and one of the sides is 12, the answer is 9.
If these are the side lengths, the hypotenuse is square root of 369, which is about 19.21
Step-by-step explanation: