What is the exact volume of the cone? 28π in³ 563π in³ 1963π in³ 196π in³.
Answers
The exact volume of the considered cone is given by: Option C: [tex]\dfrac{196}{3} \pi \: \rm in^3[/tex]
How to find volume of a right circular cone?Suppose that the radius of the base of the considered right circular cone be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3}\pi r^2 h \: \rm unit^3[/tex]
Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
The missing figure of the cone is attached below.
The height of the considered cone = 4 inchesThe radius of the base of the cone = 7 inches.Thus, the volume of the considered cone is given by:
[tex]V = \dfrac{1}{3} \times 7 ^2 \times 4 \times \pi = \dfrac{196\pi}{3} \: \rm in^3[/tex]
Thus, the exact volume of the considered cone is given by: Option C: [tex]\dfrac{196}{3} \pi \: \rm in^3[/tex]
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Related Questions
How do you find 1 1/8 times 8/7
Answers
When 14 is increased by 8 each time which number is closest to 100
Answers
11. On the first of the month the balance of
Amelia's saving account was $60. She plans
to deposit $20 each week until she has
at least $475 saved. Write and solve an
inequality to represent the situation.
How many deposits does she need to make
to reach her goal?
Answers
The number of deposits that she has to make in order to reach her goal of saving $475 is 21 weeks.
How many deposits should she make?The equation that represents the total amount Amelia can save is:
Total amount saved ≥ initial deposits + (weekly deposits x number of weeks)
$475 ≥ $60 + $20x
In order to determine the value of x, take the following steps:
Combine similar terms
$475 - $60 ≥ $20x
$415 ≥20x
Divide both sides by 20
x ≥ 20.75
x ≥ 21 weeks
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solve for x. round to the nearest tenth
Answers
Answer:
43.1
Step-by-step explanation:
We can figure this out by using a bit of simple trigonometry
Using the available values we know we have to figure out x using cos because it includes the adjacent and hypotenuse values.
"Soh Cah Toa"
Cos(x) = Adjacent / Hypotenuse
Cos(x) = 8/11
Cos(x) = 0.73
Using [tex]cos^{-1}[/tex] we can figure out x from the side length
x = [tex]cos^{-1}[/tex](0.73)
x = 43.1 degrees (rounded)
n-25= -18 solve please
Answers
Answer:
n = 7
Step-by-step explanation:
n - 25 = -18
+25 +25
n = 7
[tex]\bold{ n - 25 = -18 }[/tex]
Add 25 to both sides
[tex]\bold{ n - 25 = -18 }[/tex]
[tex]\bold{ n - 25 +}\bold\pink{25} \bold{= -18 +}\bold\pink{ 25}[/tex]
Simplify :
Add the numbers
[tex]\bold{ n = 7 }[/tex]
Donya earns $12.64 an hour and time and a half for overtime. The week of
June 26–30 she worked 48 hours. How much were her gross earnings for the
week?
Answers
Answer:
$606.72
Step-by-step explanation:
12.64x48
How much she gets payed x her hours.
HELPPPP PLEASE
Part E
How could you use a random number generator with the digits 0 to 9 to simulate the scenario?
Answers
Answer:
In Matlab, the command rand(1) returns a random number between 0 and 1 assuming uniform distribution. We can build other random variables using rand. For example, to get a random number between a and b we can use a+rand(1)(b − a). To get a 0 or 1 on a random way in Matlab, you can use round(rand(1)).
Step-by-step explanation:
Answer: Here's one possible simulation:
The probability of Americans exercising the given amount is 50%, which means that the probability of Americans not exercising the given amount is also 50%. In other words, the ratio of Americans who exercise the given amount to those who don’t is 1 : 1. Simulate this situation using a random number generator where the numbers 0 to 4 represent a person who exercises the given amount and the numbers 5 to 9 represent a person who doesn’t. Generate sets of three numbers, one for each person. If all three of the numbers are between 5 and 9, this result would mean all three people do not exercise as much as 50% of Americans do.
Step-by-step explanation: From Edmentum
Graph the functions f(x)=−6x 14 and g(x)=−2x 6 on the same coordinate plane. What are the solutions of the equation −6x 14=−2x 6 ? Select each correct answer. X = 0 x = 1 x = 2 x = 3 x = 4.
Answers
Both the functions are equal to each other. Then the value of x is -1. And they intersect at (-1, 8).
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Graph the functions [tex]\rm f \rm (x) =-6x +14[/tex] and [tex]\rm g (x)=-2x +6[/tex] are on the same coordinate plane.
For the value of x, both the function are equal to each other.
[tex]\begin{aligned} f(x) &= g(x)\\\\6x + 14 &= -2x + 6\\\\8x &= -8 \\\\x &= -1\end{aligned}[/tex]
The graphs are shown below.
Thus, the value of x is -1.
More about the function link is given below.
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Answer:
X= 2
X= 4
Step-by-step explanation:
I took the test
Ratios! please help me:) match the equivalent ratios I will give brainliest when I can!
Answers
Answer:
Step-by-step explanation:
Let's rewrite all the fraction to ratios
4:6, 10:12, 2:5, 4:7
Now, using the direct proportion, if one increase/decrease, the other increase/decrease by the same amount
4:6 = (4x2) : (6x)2 = 8:12
10:12 =( 10:2) : (12:2) = 5:6
2:5 = (2x3) : (5x3) = 6:15
4:7 = (4x2) : (7x2)= 8:14
8. Which of the following equations has a
positive slope and a negative y-intercept?
A. y = 1.75x
B. y = 2/3x - 1
C. y = -4x + 7
D. y = -0.5-1
Answers
Answer:
B
Step-by-step explanation:
the 2/3x represents how much it will increase while the -1 represents the y-intercept
GPAs are normally distributed with a mean of 2.6 and a standard deviation of 0.4. Using the Empirical Rule, what percentage of students at the college have a GPA between 2.2 and 3
Answers
2.2 = 2.6 - 0.4 is 1 standard deviation below the mean, and 3 = 2.6 + 0.4 is 1 standard deviation above it. Then by the empirical rule, the percentage of students with GPA between 2.2 and 3 is
Pr [2.2 ≤ X ≤ 3] = Pr [-1 ≤ Z ≤ 1] ≈ 68%
(where Z is normally distributed with mean 0 and s.d. 1)
If a jam jar contains 440g and costs £1. 54,what is the price per gram
Answers
Answer: Large jar : 154/440 = 3.5x10^-3 price
Step-by-step explanation: Large jar : 154/440 = 3.5x10^-3 price per gram 3.7x10%3 > 3.5 x 10^-3 so Large jar is the best value for money
whats the reduced fraction of 12%
Answers
Answer:
3/25
Step-by-step explanation:
12% = 12/100 = 6/50 = 3/25
neil has 3 partially full cans of white paint. They contain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint about how much paint does neil have in all?
Answers
. How many strings are there of lowercase letters of length four or less, not counting the empty string
Answers
This is one single number and not two separate numbers.
Delete the comma if your teacher requires it.
=========================================================
Explanation:
I'm assuming letters can repeat.
There are 26 letters in the English alphabet.
There are,
A = 26^4 = 456,976 strings of length fourB = 26^3 = 17,576 strings of length threeC = 26^2 = 676 strings of length twoD = 26 strings of length oneOverall, there are A+B+C+D = 456,976+17,576+676+26 = 475,254 strings of length four or less.
find the surface area of the rectangular prism include units and show work
Answers
Roundabout - Rate of Change
Here are the graph and table to represent the man’s distance from the camera for the given time interval from the video. Use both the graph and the table to answer the following questions. Be sure to include units where appropriate.
1. What is the average rate of change for the interval [0, 2]?
2. What does the average rate of change mean for the interval [0, 2]?
3. What is the average rate of change for the interval [6, 10]?
4. What does the average rate of change mean for the interval [6, 10]?
Answers
Answer:hi i have a question for you that i need help in soo can you go in my profile and see
Step-by-step explanation:
How do I solve this ????????
Answers
Answer:
You do radius x height.
Step-by-step explanation:
PLS TELL ME IF THESE ARE SIMILAR
Answers
Answer:
They are
Step-by-step explanation:
one of the angles is the same
Answer: These triangles are NOT similar. If these triangles were similar, all the angles would have to be equal. Therefore, the angles in each triangle would be 47, 56, and 71 degrees. When we sum 47 + 56 + 71, we get 174 which is not equal to 180 degrees. Therefore, these triangles are NOT similar.
7x+63= What is the answer?
Answers
Explanation:
Take the binomial and divide it by the number in front of the variable. 63/7=9
Which of the following are factors of 60 that have a sum of 17?
Answers
Which of the following statements regarding the expansion of (x+y)^n are
correct?
O A. The coefficients of x^n and y^n both equal 1.
B. The coefficients of x^n-1 and y^n-1 both equal 1.
- 1
O c. The coefficients of x^a y^b and x^b y^a are equal.
O D. For any term x^a y^b in the expansion, a-b = n.
Answers
Answer:
A, B, and D are all true
Step-by-step explanation:
N/A
The two true statements for the expansion are A and C.
Which statements are true?In the expansion of (x + y)ⁿ, each one of the terms will have a total exponent equal to n, this means that we will have terms like:
[tex]x^k*y^j[/tex]
Such that k + j = n.
Particularly, we get the terms xⁿ and yⁿ only once, so the first statement is correct, the coefficients of these terms will be 1.
It is also true that the coefficients of:
[tex]x^k*y^j = x^k*y^k[/tex]
Are equal.
Then the two true statements are A and C.
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Find the equation of the line which is parallel to y = 1/3 * x - 2 and goes through the point (9, 5)
Answers
Answer:
The equation of the line that parallel to y = 1/3 * x - 2 and goes through the point (9, 5) is: 1/3 * x - 20
Because this line is parallel, it slope doesn't change. Next, you mark point (9, 5), then draw a line until the line touch the y-axis, and that is your y-intercept
Subtract. (− 3 f + 9) − (9 − 3 f)
Answers
Answer:
Step-by-step explanation:\
first open the brackets
-3f + 9 - 9 -3f
collect like terms
-3f -3f +9 -9
-6f + 0
here you go :)
-3f + 3f +9 -9
0
Here are the prices 4 cheese pizza at a certain pizzeria:
pizza size price in dollars
small. 11.60
medium
large. 16.25
a)You had a coupon that made the price of a large pizza $13.00. For what percent off was the coupon?
b) Your friend purchased medium pizza for $10.31 with a 30% off coupon. what is the price of a medium pizza without a coupon?
c) Your friend has a 15% off coupon and $10. what is the largest pizza that your friend can afford?
Answers
Step-by-step explanation:
a)
100% = 16.25
1% = 100%/100 = 16.25/100 = 0.1625
the discount was $16.25 - $13.00 = $3.25.
how many % is that ?
well, it is a many % as how many times 1% (0.1625) fits into 3.25.
so,
3.25 / 0.1625 = 20
therefore, the coupon was for 20% off.
b)
30% off means he paid 70% of the normal price.
70% = 10.31
1% = 70%/70 = 10.31/70 = 0.147285714...
100% = 1%×100 = 0.147285714... × 100 = 14.72857143...
so, rounded to the nearest cent the normal price for a medium pizza is $14.73
FYI - the direct method would be to divide the discounted price by the %, so, 10.31 / 0.7 ≈ 14.73
but the reason for this shortcut is in the detailed steps explained above.
c)
as we have seen in a) and b), a large pizza after 20% discount is $13, and a medium pizza after 30% discount is $10.31. both is too much for the available $10 (and even less discount).
so, the only chance is a small pizza.
15% discount means to pay 85%.
100% = 11.6
1% = 0.116
85% = 1%×85 = 9.86
he can afford max. a small pizza after 15% discount for $9.86 with his $10.
to calculate in the other direction : with a 15% coupon it means
85% = 10
1% = 10/85 = 0.117647059...
100% = 1%×100 = 11.76470588... ≈ 11.76
with a 15% coupon and $10 he can afford to buy something with a normal prize of max. $11.76
What is the volume of a cylinder with a height of 14.6M and a base with a diameter of 18.2M, to the nearest chance of cubic meter
_________ M^3
Answers
Answer:
3796.34164m^3
Step-by-step explanation:
you first need to find the radius of the circle that is the top by dividing 18.2 in two. then you need to square it to find the area of that portion of the circle. then multiply it by 3.14 or pi. then after you do all that you should get 82.81m^2. after that you multiply it by the height of the cylinder which is 14.6m. after that you have your answer of 3796.34164m^3. this might be a little bit off so I recommend using pi.
if the base is two and you have to get to 128 whats the exponet
Answers
Answer:
[tex] {2}^{7} \\ [/tex]Step-by-step explanation:
[tex] = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ = {2}^{7} \\ [/tex]
evaluate f(x)=-4x+7;f(1)
help
Answers
Answer:
f(1) = 3
Step-by-step explanation:
substitute x = 1 into f(x) , then
f(1) = - 4(1) + 7 = - 4 + 7 = 3
Let's see
f(x)=-4x+7for f(1) put x=1
-4(1)+7-4+73Line segment AB has endpoints A(-2, 0) and B(4, 8).
Point C is on the line segment AB and is located at (2.5, 6).
What is the ratio of CB/AC
? DO NOT use the Section Formula to solve this problem.
Answers
The ratio of [tex]\frac{CB}{AC}[/tex] is 3.
How to calculate a distance ratio in a line segment
The ratio of [tex]\frac{CB}{AC}[/tex] is the length of line segment CB divided by line segment AC. Each length is found by Pythagorean theorem:
Line segment AC[tex]AC = \sqrt{[2.5-(-2)]^{2}+(6-0)^{2}}[/tex]
[tex]AC = 7.5[/tex]
Line segment CB[tex]CB = \sqrt{(4-2.5)^{2}+(8-6)^{2}}[/tex]
[tex]CB = 2.5[/tex]
Finally, the ratio of [tex]\frac{CB}{AC}[/tex] is:
[tex]\frac{CB}{AC} = \frac{2.5}{7.5}[/tex]
[tex]\frac{CB}{AC} = 3[/tex]
The ratio of [tex]\frac{CB}{AC}[/tex] is 3.
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Line K has the equation y=5x-4.
Line L is parallel to line K, but passes through the point (-2,-7).
The equation for L in slope-intercept form is: ______
Answers
Explanation:
Parallel lines always have equal slopes, but different y intercepts.
Line K has a slope of 5, which means line L also has this slope too. Refer to the y = mx+b form.
Plug in the coordinates of (-2,-7) as well as the slope mentioned and solve for b.
y = mx+b
-7 = 5(-2) + b
-7 = -10+b
-7+10 = b
3 = b
b = 3
The y = mx+b updates to the final answer of y = 5x+3
