Answer:
The volume of the sphere is increasing at a rate of 56,549 cubic millimeters per second.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In which r is the radius.
Solving this question:
The first step do solve this question is derivating V implictly in function of t. So
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
The radius of a sphere is increasing at a rate of 5 mm/s.
This means that [tex]\frac{dr}{dt} = 5[/tex]
Diameter is 60 mm
This means that [tex]r = \frac{60}{2} = 30[/tex]
How fast is the volume increasing (in mm3/s) when the diameter is 60 mm?
This is [tex]\frac{dV}{dt}[/tex]. So
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
[tex]\frac{dV}{dt} = 4\pi*30^2*5 = 900*20\pi = 56549[/tex]
The volume of the sphere is increasing at a rate of 56,549 cubic millimeters per second.
are these two triangles congruent? if so state, how you know.
Answer:
by SSS axiom
hope it helps.
Answer:
Step-by-step explanation:
Yes
the two sides that are marked make 2/3 of the sides needed for SSS
The line shared by both triangles make the third side.
Answer: SSS
6.8 + [(0.5 times 7) + (3.1 times 3)] answer
Answer:
19.6
Step-by-step explanation:
2. 2 1 1 3
5' 4210
I
Arrange the fractions in ascending order.
D a) 1 1 2 3
2' 4' 5' 10
O c 1 3 2 2 1
4' 10' 5' 2
b) 3 2 1 1
10' 54'2
I
d) 1 2 1 3
2' 5' 4' 10
Answer:
a.1 1 2 3
2'4'5'10 that is ig
Simplify (3m^5)^2. need help
Answer:
6m^10?
Step-by-step explanation:
amy waters her garden every 4 days and weeds it every saturday amy waters her garden this saturday.How many days will it be until the next time amy both waters and weeds her garden on the same day
what is the value of 2(4x + 3) when x=3
Answer: 30
Step-by-step explanation:
Im pretty sure its that! Have a good day. Do not press the link for the other people its fake :)
Inscribed angles: find the value of each variable. The dot represents the center
Answer:
4
Step-by-step explanation:
Write an expression to show k less than 3.5
1.l
Paul has 2 bags of Skittles. Each bag
contains 84 Skittles. If Paul eats 38
Skittles and gives 29 Skittles to each
of his two friends, how many
Skittles
does Paul have left?
Answer:72
skittles left
Step-by-step explanation:
Answer:
Paul would have 72 skittles left
Step-by-step explanation:
84 x 2 = 168
168 - 38 = 130
130 - 29 = 101
101 - 29 = 72
find the measure indicated. Assume that the lines which appear to be tangent are tangent. Part 4
NO LINKS OF ANY KIND
The angle between the two tangents drawn from an external point to a circle and the angle subtended by the line segment joining the points of the contact at the Centre are supplymentary,
So,
15.) let the unknown angle be x
=》x + 55° = 180°
=》x = 180° - 55°
=》
[tex] \boxed{x = 125°}[/tex]
16. let the unknown angle be n
=》n + 80° = 180°
=》n = 180° - 80°
=》
[tex] \boxed{n = 100°}[/tex]
9514 1404 393
Answer:
15) 125°
16 100°
Step-by-step explanation:
The short arc where two tangents intersect a circle, and the angle where the tangents meet are supplementary.
__
15) ? = 180° -55° = 125°
16) ? = 180° - 80° = 100°
_____
Additional comment
The quadrilateral formed by the tangents and the radii to the points of tangency has a total interior angle measure of 360°. The angles where the radii meet the tangents are 90°, so the sum of the external angle and the central angle is 360° -90° -90° = 180°. That is, the external angle and the central angle are supplementary.
Which statement is true about the diagram
Answer:
I believe that it is the 3 option Im not 100% sure but im most certain
Step-by-step explanation:
Please helppppppppppp
Answer: what are you supposed to find out?
Step-by-step explanation:
Judah’s family wants to ride the bumper boats at a waterpark. There are 4 children ( c ) and 2 adults ( a ) in Judah’s family. The boats are safe to ride if 40 c + 120 a ≤ 500 . Are the bumper boats safe for Judah’s family to ride? Explain. Show your work
Answer:
ion know
Step-by-step explanation:
You want to know if the students in your school have been to your town’s skate park. You randomly survey 50 of the 1100 students at your school. Of those surveyed, 15 have been to the skate park and 35 have not. You conclude that 30% of the students in your school have been to the skate park. Which statement below best describes your conclusion
Answer:
Step-by-step explanation:
The conclusion is invalid
help ..........................................
Answer:
c. 45d+.25m
Step-by-step explanation:
Two trains leave New York at the same time. One travels south 50 miles per hour and the other traveled east at 40 miles per hour. How far apart are they at the end of THREE HOURS?
Answer:
192 miles
Step-by-step explanation:
This is a right triangle problem
One leg of the triangle is
50 * 3 = 150
The other leg is
40 * 3 = 120
the distance is the hypotenuse
c^2 = 150^2 + 120^2
c^2 = 22500 + 14400
c^2 = 36900
Take the square root of both sides
c = 192.093727123
c ≈ 192 miles
Answer:
30 miles apart
Step-by-step explanation:
Im not sure if this is the corect answer to this but this is what i think what i did was get 50 x 3 and 40 x 3 since they starded at the same times and finished after 3 hours so multiply your numbers by 3 so...
50 x 3=150
40 x 3=120
150-120=30 miles apart
At the U.S. Open Ternis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 13 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was mound-shaped and symmetric. What proportion of the player's serves was between 110 mph and 136 mph
Step-by-step explanation:
At the U.S. Open Tennis Championship, a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 102 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph.Find the value of the trigonometric ratio.
Answer:
D
Step-by-step explanation:
sin=opposite/hypotenuse
Sinx=40/41
The sum of the fifth and sixth term of an AP is 30.If the third term is 5.Find the first term.
Answer:
The first term is -3.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between two consecutive terms is always the same, and it is called common difference d.
The nth term is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term.
If we have the mth term instead of the first, we have:
[tex]a_n = a_m + (n-m)d[/tex]
We have the third term, and need the fifth and the sixth:
So we write both the fifth and the sixth in function of the third, then:
[tex]a_5 = a_3 + 2d = 5 + 2d[/tex]
[tex]a_6 = a_3 + 3d = 5 + 3d[/tex]
The sum of the fifth and sixth term of an AP is 30
We use this to find [tex]d[/tex]. So
[tex]a_5 + a_6 = 30[/tex]
[tex]5 + 2d + 5 + 3d = 30[/tex]
[tex]5d + 10 = 30[/tex]
[tex]5d = 20[/tex]
[tex]d = \frac{20}{5} = 4[/tex]
First term:
The third term is:
[tex]a_3 = a_1 + 2d[/tex]
Since [tex]a_3 = 5, d = 4[/tex]
[tex]a_1 = a_3 - 2d = 5 - 8 = -3[/tex]
The first term is -3.
2 3/6 boxes and 1 2/3 boxes were recycled what is the total
please help me :(
.....
Answer:
128 i think
Step-by-step explanation:
5x7=32
x=4
32x4=128
Reese's Puffs Reese's Puffs
a. eat em up, eat em up, eat em up, eat em up!
b. no-
Answer:
a
Step-by-step explanation:
common sense
Answer:
a
Step-by-step explanation:
You start at (7,9) in a coordinate plane you move left 7 units. Where do you end
Answer:
You end up at 0,9
Step-by-step explanation:
Help me pls I don't know what to do
What are the lateral area and the surface area of the cone shown below? Round the answers to
the nearest tenth. The figure is not drawn to scale.
Answer:
lateral surface area of the cone = 829.0ft²
Hence the total surface area is 1,208.9ft²
Step-by-step explanation:
lateral surface area of the cone = πrl
l is the slant side = 24ft
r is the radius = 11ft
lateral surface area of the cone = π(11)(24)
lateral surface area of the cone = 3.14 * 264
lateral surface area of the cone = 828.96ft²
lateral surface area of the cone = 829.0ft²
Total surface area = πr(r+l)
r is the radius = 11ft
l is the slant side = 24ft
Total surface area = π(11)(11+24)
Total surface area = π(11)(35)
Total surface area = 3.14 * 385
Total surface area = 1,208.9ft²
Hence the total surface area is 1,208.9ft²
A bakery sells 12 cupcakes for $10. A Super Market sells 10 cupcakes for $8. Which store is cheaper per cupcake? *
Answer:
Step-by-step explanation:
hope this help
Answer: the super market is cheaper
Pablo made a dot plot and histogram to show how many times last month each student in a class played sports. However, the histogram is incorrect.
Answer the questions to show how Pablo can fix the histogram to match the dot plot.
1. Is the bar for the interval 0 – 4 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Write your answer in the space below.
2. Is the bar for the interval 5 – 9 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Write your answer in the space below.
3. Is the bar for the interval 10 – 14 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Write your answer in the space below.
4. Is the bar for the interval 15 – 19 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Answer:
1. The bar interval is correct, the height does not need to be changed.
2. The bar interval is not correct, the height has to change higher by 1.
3. The bar interval is not correct, the height has to change lower by 1.
4. The bar interval is correct, the height does not need to be changed.
The histogram that best represents the data is the first histogram.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
here, we have,
For this problem, we have that the data-set is given by:
3.4 1.1 1.7 3.1 5.8 3.2 3.7 3.4 1.6 3.5 3.9 3.8 1.1 1.9 1.8.
We divide the data-set into ranges, hence the number of elements in each range is given as follows:
6 students download between 0 and 2 songs per week.
8 students download between 2 and 4 songs per week.
1 student download between 4 and 6 songs per week.
Hence the first histogram best represents the data.
More can be learned about histograms at
brainly.com/question/28164315
#SPJ2
complete question:
The following table shows the average number of songs downloaded each day by some students of a class: Student A B C D E F G H I J K L M N O Songs 3.4 1.1 1.7 3.1 5.8 3.2 3.7 3.4 1.6 3.5 3.9 3.8 1.1 1.9 1.8 Which histogram best represents the data? Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 2 is 6, height of the bar in the x interval 2 to 4 is 8, and the height of the bar in the x interval 4 to 6 is 1.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 1 is 6, height of the bar in the x interval 1 to 2 is 8, and the height of the bar in the x interval 2 to 3 is 1.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 2 is 7, height of the bar in the x interval 2 to 4 is 9, and the height of the bar in the x interval 4 to 6 is 2.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 1 is 7, height of the bar in the x interval 1 to 2 is 9, and the height of the bar in the x interval 2 to 3 is 2. WILL GIVE BRAINLIEST!
At the end of Evan's party, there were 1 1 pizzas left. Evan ate į pizza for lunch the next day. What fraction of a pizza was left after Evan's lunch? Move numbers to the boxes to complete the equation. PLEASE HELP WILL GIVE BRAINLIEST
So, after Evan's lunch, there was 7/8 quantity of pizza left.
Here we can write,
The simple fraction of [tex]1\frac{1}{8}[/tex] = 9/8
So, if there were 9/8 pizzas left at the end of the party and Evan ate 2/8 of a pizza for lunch,
we can start by subtracting the amount that Evan ate from the total amount that was left,
⇒ 9/8 - 2/8
To subtract fractions with like denominators,
We can simply subtract the numerators and keep the same denominator,
⇒ 9/8 - 2/8 = 7/8
So, after Evan's lunch, there were 7/8 of a pizza left.
Learn more about subtraction visit:
https://brainly.com/question/17301989
#SPJ2
The Ratio of 5 cows for every 2 dogs is equivalent to what ratio?
A. 20:8
B. 6/12
C. 4 to 10
( If it is right I will mark it as brainiest ong)
20:8
Step-by-step explanation:
5:2
20:8
5×4= 20 and 2×4= 8
Answer:
A is the right answer. If you multiply the ratio 5: 2 by 4 it will give you 20:8
questions and answer choices attached to photo, please help ASAP :)
Answer:
D
Step-by-step explanation:
10 x 10 x 29 x .5 = 1,450