how to find the volume of a cone if the height is 12 and the diameter is 12
Answers
We have to use the volume formula for a cone.
\(V=\frac{1}{3}B\cdot h\)Where B is the base area
\(\begin{gathered} B=\pi(r)^2=3.14(6)^2 \\ B\approx113.04 \end{gathered}\)Now, we can find the volume
\(V=\frac{1}{3}\cdot113.04\cdot12=452.16u^3\)Hence, the volume is 425.16 cubic units, approximately.Related Questions
Please help me ?????!! Anyone help me ?!!!
Answers
What is the volume of the rectangular prism?
240 cm 3
108 cm 3
288 cm 3
162 cm 3
Answers
because V = w h l = 6•4•12 = 288
Two people are playing the game rock, paper scissors. In each round both players show rock, paper, or scissors at the same time. What is the probability that both players show rock in the first round. Show your work.
Answers
The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).
In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.
To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.
Therefore, the probability that both players show rock in the first round can be calculated as follows:
P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9
So the probability that both players show rock in the first round is 1/9 or approximately 0.111.
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627 x 26
how do you solve this problem using standard algorithm
Answers
627 x 26 equals 16,302 when solved using the standard algorithm.
The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:
627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.
Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.
1254 -- a 6 x 7 partial product
1254 -- a half 6 x 2 product
Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.
1254 x 627
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A company has issued 20 million shares of stock. A mutual fund owns 80,000 shares of this company's stock. What percentage of the company's shares are owned by the mutual fund?
Round your answer to the nearest tenth of a percent.
Do NOT round until you have calculated the final answer.
Answers
The percentage of the company's shares owned by the mutual fund is 0.4 %
How to calculate percentages?
The percentage is defined as dividing the value by the overall value and multiplying the resulting number by 100.
∴ Percentage = (Value/Total value) × 100
The original number is subtracted from the new number, divided by the original number, and multiplied by 100 to get the increased percentage.The decreased percentage is calculated by subtracting a new number from the original number, dividing that new number by the original number, and multiplying the result by 100.Given:
The mutual fund owns = 80,000 shares
Total shares = 20 million.
Percentage = fund owns/total shares * 100
= (80000/20000000) * 100
= 8/20
= 0.4 %
Therefore, the percentage of the company's shares owned by the mutual fund is 0.4 %.
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Find −0.5D. with options [9 8] [-7 -4], [9 8] [14 8], [-18 -16] [7 4], [9 8] [7 4]
![Find 0.5D. with options [9 8] [-7 -4], [9 8] [14 8], [-18 -16] [7 4], [9 8] [7 4]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/VDn0JcWO5jfjKmtLo8qZxX2wtVRfkc0o.png)
Answers
The evaluation of −0.5D of the matrix gives
[9 8]
[-7 -4]
How to determine -0.5D of the matrix?
A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.
Given: the matrix
D = [-18 -16]
[14 8]
To find −0.5D, multiply every number in the matrix D by -−0.5. Thus:
−0.5D = −0.5 × [-18 -16]
[14 8]
−0.5D = [9 8]
[-7 -4]
Therefore, the 1st option is the answer
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Cuanto mide el largo de un rectángulo cuyo perímetro es 16cm y su área 12 cm al cuadrado ?
Answers
Hay dos rectángulos posibles que satisfacen las condiciones dadas: uno de 2 cm de largo y 6 cm de ancho, y otro de 6 cm de largo y 2 cm de ancho.
In the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3 exams that are worth 100 points each. A student has received homework scores of 7, 8, 7, 5, and 8 and the first two exam scores are 81 and 80. Assuming that grades are assigned according to the standard scale, where if the grade percentage is 0.9 or higher the student will get an A, and if the grade percentage is between 0.8 and 0.9 the student will get a B, and there are no weights assigned to any of the grades, is it possible for the student to receive an A in the class? What is the minimum score on the third exam that will give an A? What about a B? [8 marks]
Answers
Answer:
i) it is not possible for the student to receive an A in the class
ii) 119 points
iii) 84points
Step-by-step explanation:
Total exam scores = 350points
homework scores of 7, 8, 7, 5, and 8
Let the third exam score =y
Exam scores = 81, 80, x
i) To know if the student would get an A in class, we would find the third exam score
(Scores received by a student)/ (total scores) = least of the grade percentage to get an A
(7 + 8 + 7 +5 + 8 + 81 + 80 + x)/350 = 0.9
(196+x)/350 = 0.9
196+x = 350 × 0.9
196+x = 315
x = 315-196
x = 119
119 > 100
Since the maximum grade for each of the exam score is 100points, it is not possible for the student to receive an A in the class.
ii) Since the least of the grade percentage that would guarantee an A is 0.9, the minimum score on the third exam that will give an A = 119points
iii) (Scores received by a student)/ (total scores) = least of the grade percentage to get a B
(7 + 8 + 7 +5 + 8 + 81 + 80 + x)/350 = 0.8
(196+x)/350 = 0.8
196+x = 350 × 0.8 = 280
x = 280-196
x = 84
The minimum score on the third exam that will give a B = 84points
Which inequality represents the situation described below?
The distance, d, is less than 200 miles.
A. d ≥ 200
B. d > 200
C. d ≤ 200
D. d < 200
Answers
Hello!
The distance, d, is less than 200 miles.
B. d > 200
The graph of a linear equation has a slope of -2 of passes through (-4,3)
A. y=-2x-5
B. y=-2x+5
C. y=-2x-2
D. y=-2x+5
And came someone explain how it’s fine if not
Answers
Answer:
I think D. y= -2x+5....
Mark drove 2300 miles for a sales presentation. Standard mileage rate for business-related mileage is $0.56 per mile, medical or moving mileage is $0.16 per mile, and charitable activities mileage is $0.14 per mile. How much is his mileage deduction?
Answers
During a sales presentation, Mark drove \(2300\) miles; \(1,288\) of those miles are deductible as mileage.
What is the example of mileage?The length that a car has travelled or even the maximum distance it can go on a given quantity of fuel: "How many miles do you have on the vehicle?" Yeah, close to 40,000. Smaller automobiles provide greater gas mileage and hence use less fuel.
How is mileage determined?Determine your car's miles by dividing the distance you travelled, as shown by the trip metre, by the amount of gasoline consumed. Numeracy isn't rocket science—just basic! Repeat this a few times to properly understand it. Long distances on open highways might make this much more enjoyable when the figure increases significantly.
\(Deduction = 2300 miles * 0.56/mile = 1288\)
So Mark's mileage deduction is $\(1,288\).
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Stephon has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.
Answers
We have that Stephon wants to reduce the width by 4, and we can represent this as follows:
\(w=x-4\)And he wants to increase the length by 4:
\(l=x+4\)The square brick patio has an area of:
\(A_{\text{squarepatio}}=20ft\cdot20ft=x\cdot x=400ft^2\Rightarrow x=20\)Therefore, the area of the new patio is given by:
\(A=w\cdot l=(x-4)\cdot(x+4)\)Since x = 20, we have:
\(A=l\cdot w=(20-4)ft\cdot(20+4)ft\Rightarrow A=16ft\cdot24ft\Rightarrow A=384ft^2\)Therefore, the answer is A = 384 square feet (option C).
John had 54 filters to post around town. Last week, he posted 1/3 of them. This week, he posted 1/6 of the remaining fliers. How many fliers has he still not posted?
Answers
Answer:
30 fliers
Step-by-step explanation:
54*1/3 = 18
subtract how many he posted=
36
1/6 of 36 is 6
subtract
36-6
30
Whats 1/4+9/58*1/2 ???
Answers
Answer: 0. 327
Step-by-step explanation:
I just used a demos calculator I suggest using demos scientific calculator.
Part A: Valerie is remodeling her home. She decides to replace the old carpet in the living room and wants to know how much carpet she needs. You can see from the diagram of the living room that this is not a simple shape. Complete the steps below to find the area of the room, which is the amount of carpet Valerie needs for her project.
Part A
Help Valerie decompose the shape into the fewest simple shapes. Which shapes can
you divide the figure into? How many of each shape do you get?
Part B: In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?
Answers
Answer:
She can decompose it into two rectangles or a triangle
Step-by-step explanation:
I just did this on EDMENTUM its right!
2 in. 4 in. Q. What is the volume of the composite solid? (round to nearest whole number)
Answers
Answer:
thats a cone
Step-by-step explanation:
the sum of place value of 5 in 15954
Answers
Answer:
5050
Step-by-step explanation:
Place value of a digit is the value of digit based on its position the given number.
to determine the place value of a digit
we multiply the digit by number of 10's which is equal to number of digits in its right.
example
for a number 1234687
the place value of 3 is
we take 3 and
multiply it by number of 10' in its right
number of 10's in the right is 4
thus place value of 3 = 3*10*10*10*10 = 30000
________________________________________________
15954
place value of 5 at thousandth position = 5*10*10*10 = 5000
place value of 5 at tens position = 5*10 = 50
Thus, sum of place value of 5 in 15954 = 5000+50 = 5050
Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
Answers
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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If the measures of two angles add up to 180°, then the angles are supplementary.
Answers
which of the following are solutions to the quadratic equation check all that apply x ^ 2 + 10x + 25 = 2
Answers
Answer:
to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore
x^2 + 10x + 25 - 2 =2 - 2
therefore
x^2 + 10x +23 = 0
now since the equation cannot be factored, we use the formula.
x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)
where
a=1
b=10
c=23
note we use the coefficients only.
therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)
=\(\frac{-10-+\sqrt{100-92} }{2}\)
=\(\frac{-10-+\sqrt{8} }{2}\)
then we form two equations according to negative and positive symbols
x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)
therefore x = \(-5+\sqrt{2}\) or x=\(-5-\sqrt{2}\)
which fraction is equal to 0.5 7
Answers
The value of fraction 0.5 7 is equal to 1/2.
We are given that;
Number = 0.57
Now,
There are different ways to express a fraction as a decimal, but one common method is to divide the numerator by the denominator.
For example, 1/2 as a decimal is 1 ÷ 2 = 0.512.
Another method is to use a fraction to decimal conversion chart or calculator345. According to these sources, 0.5 as a fraction is equal to 5/10 or 1/2.
These fractions are equivalent because they have the same value when simplified or reduced.
To simplify a fraction, we can divide both the numerator and the denominator by their greatest common factor (GCF).
Therefore, by algebra the answer will be 1/2.
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an astronaut who weighs 85 kilograms on earth weighs 14.2 kilograms on the moon. how much would a person weigh on the moon if they weigh 95 kilograms on earth? (round your answer if you have to)
Answers
Hi there! :)
Answer:
\(\huge\boxed{15.87kg}\)
To solve, simply set up a proportion. Let "x" represent the mass of a 95 kg person on the moon:
\(\frac{14.2kg}{85kg} = \frac{x}{95kg}\)
Cross multiply:
\(14.2 * 95 = 85 * x\)
\(1349 = 85x\)
Divide both sides by 85:
\(1349/85 = 85x/85\)
\(x = 15.87 kg\)
Answer:
15kg
Step-by-step explanation:
85/14.2=5.98
95/6=15
$900 is deposited in an account with 4%
interest rate, compounded continuously.
What is the balance after 10 years?
F = $[?]
Answers
Answer:
\(\$1342.64\)
Step-by-step explanation:
We can represent the value \(A\) of a quantity \(P\) compounded continuously for \(t\) years at \(r\) rate of interest as:
\(A = P\cdot e^{rt}\)
This formula uses the mathematical constant \(e\) (approx. 2.72), which is the theoretical limit for continuous compounding.
Plugging the given values into the formula:
\(A = \$900 \cdot e^{(0.04 \, \cdot \, 10)}\)
We can now solve for \(A\).
↓ simplifying \(e\)'s exponent
\(A = \$900 \cdot e^{0.4}\)
↓ plugging into a calculator
\(A \approx \$1342.64222788\)
↓ rounding to the nearest cent
\(\boxed{A \approx \$1342.64}\)
give the rule in words of this pattern 10,13,17,238
Answers
Answer:
a set of numbers in order of least to greatest
True or false: If you re-word what an author says in your own work, you do not have to provide a citation. * 1 point True False
Answers
Answer:
False
Step-by-step explanation:
In an essay, you have to cite every source you use because
a) the teacher needs to KNOW you didn't copy
b) the teacher needs to know if you got your info from a reliable source
c) the teacher needs to see your ability to use info from a source to put into your essay
This may be different for books, but citation is always a rule of thumb for essays in school, so don't forget unless you want points to be taken off of your score.
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Answers
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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Select the correct locations on the graph.
Select the lines that represent functions.
Answers
Answer:
i need that answer to
Step-by-step explanation:
Answer:
the top on the right.
Step-by-step explanation:
Find two square numbers that total 45
Answers
x^2+^2=45
if ×=3 and y=6
then 9+36=45
simplify the given expression 7+ 8a/5b
Answers
Answer:
= \(\frac{35b + 8a}{5b}\)
Step-by-step explanation:
Convert element to fraction:
= 7*5b/5b + 8a/5b
Combine the fractions (Equal denominators):
= 7*5b+8a/5b
Multiply the numbers (7*5):
= 35b + 8a / 5b
Which point on the number line represents 7 less than 4? How do you know?
Answers
The point represent is F.
What is number line?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically. As we move towards the right side of a horizontal number line, the numbers increase; as we move towards the left, the numbers decrease.
Given:
point on the number line represents 7 less than 4
=4-7
=-3
So, the point that represent -3 is F
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