Answer:
235.71cm^2
Step-by-step explanation:
Volume of cone = 1/3 pie r^2 h
1/3*22/7*5*5*9
= 235.71cm^2
Volume of a cone is 235.6 cm³.
Why is the volume of a cone?The volume of a cone with height h and radius r is 1/3πr2h, which is exactly one third the volume of the smallest cylinder that it fits inside. This can be proved easily by considering a cone as a solid of revolution, but I would like to know if it can be proved or at least visual demonstrated without using calculus.The volume of a cone is calculated the using the formula:
[tex]V = \frac{1}{3} \pi r^{3} h[/tex]
Given,
height of the cylinder is, h=9cm.
The diameter of the base is 10cm. r = 5 cm
put the values into the formula to get -
V = [tex]\frac{1}{3} * \pi * 5^{2} * 9[/tex]
[tex]V = 75 \pi[/tex]
Put value of π = 3. 14 ,
V = 75 * 3.14
V = 235.6 cm³
Therefore, Volume of a cone is 235.6 cm³.
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Which of the following is the equation of the circle shown below?
Answer:
Step-by-step explanation:
Center is 6, -2
Radius is 7
(x-6)^2 + (y + 4)^2 = 7^2
==============
Please give brainliest, I really want to rank up, thank you!
The square of a whole number is between 400 and 500. The whole number must be between:
Answer: 20-23
Step-by-step explanation: 200^2 is 400 so the number must be greater and 23^2 is greater than 500 so it must be lass than 23.
The sum of 9 and a number is less than 12. Which of the following inequalities expresses the solutions ?
Evaluate r^2−s^2, when r=12 and s=5.
Step-by-step explanation:
Given r = 12, s = 5,
[tex] {r}^{2} - {s}^{2} = {12}^{2} - {5}^{2} \\ = 144 - 25 \\ = 119[/tex]
What is 5 3/4 -1 5/12= ?
Answer:
4.33333333333 or 4 and 1/3
Step-by-step explanation:
Answer:
4 1/3
Step-by-step explanation:
1) Convert 5 3/4 to improper fraction.
2) Simplify 5x4 to 20.
3) Simplify 20+3 to 23.
4) Convert 1 5/12 to an improper fraction.
5) Simplify 1x12 to 12.
6) Simplify 12+5 to 17.
7) Find the least common denominator of 23/4 & 17/12.
8) Make the denominators the same.
9) Join the denominators.
10) Simplify 52/12 ( 4 1/3 )
Hope this helped!
.
Please help! What is the population of people?? Answer and explanation please! no links :\
Answer:
36043.305
Step-by-step explanation:
My brain is so tired I can't-
Multiply all the numbers with the information they gave you, then add them all.
I REALLY HOPE THIS HELPED MY BRAIN NEEDS A BREAK
A billard ball has a surface area of 84 square centimeters. What is the radius of the ball?
Answer: √21/√pi
Step-by-step explanation: Surface area of ball is 4(pi)r^2. Divide 84 by 4 and get 21. Dividing 21 by pi and taking the square root therefore is the answer.
Which triangles are similar to triangle ABC ?
Answer:
both of em
Step-by-step explanation:
Can someone help me!
Answer:
m∠A = 48.81°
Step-by-step explanation:
Given triangle is a right triangle and we have to measure ∠A.
Since, opposite side and adjacent sides of angle A has been given
So we will apply tangent rule to get the measure of angle A.
tan(∠A) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(∠A) = [tex]\frac{8}{7}[/tex]
∠A = [tex]\text{tan}^{-1}(\frac{8}{7})[/tex]
∠A = 48.814
≈ 48.81°
Consider function f, where B is a real number.
f(x)=tan(Bx)
Complete the statement describing the transformations to function f as the value of B is changed.
As the value of B increases, the period of the function (remains the same, increases, decreases), and the frequency of the function (remains the same, increases, decreases).
When the value of B is negative, the graph of the function (reflects over the y-axis, remains the same, reflects over the x-axis).
Using the concept of the tangent function, it is found that:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
---------------------------------
Tangent function:
It is given by:
[tex]f(x) = \tan{Bx}[/tex]
The period is [tex]P = \frac{\pi}{|B|}[/tex].The frequency is [tex]F = \frac{1}{P} = \frac{|B|}{\pi}[/tex].---------------------------------
The period is inversely proportional to B, thus, as B increases, the period decreases.Frequency is inversely proportional to the period, thus, as the period decreases, the frequency increases.When B is negative, we get [tex]f(x) = \tan{-Bx} = f(-x)[/tex], thus, the function is reflected over the y-axis, as the graph at the end of the answer shows, with f(x) is red(B positive) and f(-x) in blue(B negative).---------------------------------
Considering the three bullet points above, the correct option is:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
A similar problem is given at https://brainly.com/question/16828446
Answer:
got it right
Step-by-step explanation:
WITH STEPS PLEASEE..
Answer:
16+3y=31
3y=31-16
3y=15
y=15/3
y=5
check.
16+3×5
=16+15
=31
Bob mixed 5/8 cup of water and 1/8 cup of lemon juice in a cup. The rest of the mixture was lime juice. How much lime juice did Bob add if the cup was full?
Answer: thats a good question
Step-by-step explanation:
Answer: he will add 2/8 more so it can be full.
Step-by-step explanation: you divide 2/8 by 5/8 and you'll get 1/8.
please give me brainlest
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
A friend tells you about a recent study dealing with the number of years of teaching experience among current college professors. He remembers the mean but can't recall whether the standard deviation was 6 months, 6 years or 16 years. Which was it?
Answer:
6 years
Step-by-step explanation:
what is the answer. Evalute (2/3)2. Thank you
Answer:
4/3
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
[tex] { \frac{2}{3} }^{2} = \frac{4}{9} [/tex]
have a nice day
the difference between the squares of two numbers is 32. twice the square of the first number increased by the square of the second number is 76. find the numbers.
Answer:
The numbers are 6 and 2
6 squared = 36
2 squared = 4
So 36-4 = 32
And 36 x 2 = 72 + 4 = 76
What is the volume of the figure?
Answer:
47.12
Step-by-step explanation:
same as the last question
o put on Your Thinking Cap!
$ Challenging Practice
1.
Michelle got an average score of 80 on two tests. What score must
she get on the third test so that her average score for the three tests
is the same as the average score for the first two tests?
Answer:
Michelle must get an 80 on her next test to keep her average score.
Step-by-step explanation:
Since Michelle got an average score of 80 on two tests, to determine what score she must get on the third test so that her average score for the three tests is the same as the average score for the first two tests, the following calculation must be performed:
X / 2 = 80
X = 80 x 2
X = 160
X x 3 = 80 x 3
X x 3 = 240
X = 240/3
x = 80
So, Michelle must get an 80 on her next test to keep her average score.
A car rental company is interested in the amount of time its vehicles are out of operation for repair work. A random sample of 21 cars showed that, over the past year, the numbers of days that each of these cars had been inoperative were as follows: 15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14 Assuming that the population is normally distributed, construct a 95% confidence interval for the mean number of days that vehicles in the company's fleet are out of operation.
Answer:
(10.891; 15.869)
Step-by-step explanation:
Given the data::
15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14
The confidence interval is obtained using the relation :
Mean ± margin of error
Margin of Error = Zcritical * s/sqrt(n)
Using a calculator, the mean value of the data and standard deviation above is :
Mean = Σx / n ; n = sample size
Mean, xbar = 281 / 21
Mean = 13.38
Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]
Standard deviation, s = 5.82
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 95% confidence level = 1.96
Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489
Confidence interval :
Mean ± margin of error
13.38 ± 2.489
Lower boundary = (13.38 - 2.489) = 10.891
Upper boundary = (13.38 + 2.489) = 15.869
(10.891; 15.869)
Paige only needs to sell to 17 more customers to receive a bonus. She works part time, so she only talks to 50 customers per day. With a sales ratio of 1:9, on which day will Paige qualify for a bonus?
Answer:
Paige will qualify for a bonus on her 4th day of work.
Step-by-step explanation:
50 customers per day
needs to sell to 17
Ratio = 1:9
1:9
×17 ×17
17:153
Paige needs to see 153 customers.
153 ÷ 50 = 3.06 ≈ 4 (As the answer is not asking for the exact number of the day you round up to make a whole day without underestimating)
So, Paige will qualify for a bonus on her 4th day of work.
ten vegetable selections available, how many 3 vegetable plates can be made
Hii! I really need help on this with the spree that answers! For 30 points. I don’t wanna waste my points so make sure your answer is right.
Step-by-step explanation:
1. K = 13 (13+5=18)
2. X= 36 (36-12=24)
3. Y = 14 (17=3+14)
4. Z= 24(22=24-2)
5. A=7 (divide both sides by 4)
6. H=12 (12/6=2)
7. B= 10 (100=10*10)
8. Y=42 (6=42/7)
I'm pretty sure that this is correct.
if you add an exclamation I will give you a Brain list
A male animal can weigh up to 6,000 pounds.
How many tons is 6,000 pounds?
6,000 pounds is equivalent to what
tons.
Answer:
it would be 3 tons if I'm correct
Answer: 3 tons
Step-by-step explanation:
1 ton is equal to 2,000 pounds.
Divide 6,000 from 2,000 to find how many tons the animal weighs.
6,000/2,000=3.
Hope this helps!
Adam bought 6 yogurt cups for $8. Which of the following represents a higher unit rate than what Adam paid?
a. 4 yogurt cups for $6
b. 8 yogurt cups for $10
c. 10 yogurt cups for $12
d. 12 yogurt cups for $14
Answer:
A, 4 yougurt cups for $6
Step-by-step explanation:
The reason I did the math myself. Sorry if its incorrect.
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
<5,2>
Step-by-step explanation:
Help how do you simplify this????!!!
Answer:
3/5
Step-by-step explanation: its on the page the yellow text you add the top numbers but the bottem number stays the same
2. The area A of a circle is increasing at a constant rate of 2.5cm s . If the area of the circle is given
by A = πr2, what is the rate of change of the radius when the radius is 15cm?
Answer:
235.65 cm^2s-1
Step-by-step explanation:
We have that;
Rate of change of area (dA/dt) = (dA/dr) (dr/dt) By chain rule
Note that dr/dt = rate of change of radius
But
A = πr^2
dA/dr = 2πr
dr/dt = 2.5cm s-1 (given)
So;
dA/dt = 2πr * 2.5cm s-1
r = 15cm (given)
dA/dt = 2 * 3.142 * 15cm * 2.5cm s-1
dA/dt = 235.65 cm^2s-1
simplify (-2)^-3
a. -8
b. -1/8
c. 1/8
d. 8
Answer:
Its D because 2×2×2 equals 8 and they are both minus and knowing - times - makes + so it becomes 8
Answer:
B.) -1/8
Step-by-step explanation:
You flip the problem because of the negative exponent
[tex]\frac{1}{-2^3}[/tex]
This makes the exponent positive
Expand the denominator
(-2) * (-2) * (-2) = 4*(-2) = -8
1/-8 = -1/8
What is the slope of the line through? (-4, 2) and (3, -3)?
Answer:
c. -5/7
Step-by-step explanation:
Select all the expressions that are equivalent to 16x + 36
16(x + 20)
x(16 + 36)
4(4x + 9)
2(8x + 18)
2(8x + 36)
Answer:
2(8x+18)
multiply the values in the bracket with 2
2×8x=16x
2×18=36
16x + 36
Answer: 2(8x+18) ,4(4x+9)
Step-by-step explanation:
16 x+36 =4(4x+9)=2(8x+18)
