What is the volume of the cone with diameter 7in and height 9in? Round to the nearest cubic inch
Answers
radius = 7÷2 = 3.5
Volume of cone = 1/3 [tex] \pi r^{2} h[/tex]
Volume of cone = 1/3 [tex] \pi 3.5^{2} (9)[/tex] = 115 cubic inches (Answer B)
Related Questions
how many fluorine atoms are found in 1.92 grams of AsF3?
Answers
The molar mass of AsF3 is 131.918 g/mole so
1.92 g * (1 mole)/(131.918g) = .0146 moles AsF3
Each mole of AsF3 has 6.02 x10^23 molecules of AsF3 and each molecule of AsF3 has 3 flourines, so you need to convert from moles to molecules AsF3 to atoms of F
0.146 moles AsF3 * (6.02 x 10^23 molecules AsF3)/(1 mole AsF3) * (3 atoms F)/(1 molecule AsF3) = 2.64 x 10^22 atoms F
Goran runs 6 miles in 57 minutes how many miles does he run per minute?
Answers
57 = 6x
x = 0.11 miles per minute
BRAINLIESTTT ASAP!!!!!!!!!
Answers
the answer would be -3.5 and -0.5
the first choice is the correct one
Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year. Choose the equation that can be used to solve the problem.
A.) y=42000(1+.08)^6
B.) y=42000(1+6)^8
C.) y=42000(1−.08)^6
D.) y=42000(1−.8)^6
And then: What is the value of the car expected to be 6 years from now?
This is the only question I don't understand, someone help please!
Answers
C.) y=42000(1−.08)^6
as for what it will cost in six years:
25466.91
not sure if you have to include the decimal or round it.
Answer:
Option (c) is correct.
[tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91
Step-by-step explanation:
Given : Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year.
We have to choose the equation that can be used to solve the given problem.
We know
Depreciation formula given as,
[tex]A=P(1-\frac{r}{100} )^n[/tex]
Where A is the amount value after depreciation.
P is present value
r is depreciate rate.
n is time period.
Given : P = 42000 and r= 8% also given time period is 6.
Substitute , we have,
[tex]y=42000(1-\frac{8}{100} )^6[/tex]
Simplify , we have,
[tex]y=42000(1-0.08)^6[/tex]
Simplify we get,
[tex]y=25466.91[/tex]
Thus, [tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91
The measure of is 126. What is the measure of ABC, the tangent-chord angle?
A. 126
B. 66
C. 63
D. 152
Answers
Use the theorem above to find the measure of angle formed by the intersection of the tangent that intersects chord AC.
By the theorem, the measure of angle is half of the intercepted arc which is 126.
Then, (1/2) · 126 = 63;
The correct answer is C. 63;
Answer:63
Step-by-step explanation:
Four consecutive integers sum to 70. What is the least of the 4 integers?
Answers
helppppppppppppppppppppppp
Answers
log base 2 of 100 is about 1/4 the value of log base 6 of 20
Explanation:
We will get the value of each of them separately and then compare these values.
log base 2 of 100 = 6.6438
log base 6 of 20 = 1.6719
Comparing these values, we will find that:
log base 2 of 100 is about 1/4 the value of log base 6 of 20
Hope this helps :)
What is the name of a ray that divides an angle into two equal angles?
Answers
A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 10-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?
Answers
The probability of a correct guess on the first try will be [tex]0.001[/tex] .
What is Probability ?Probability is the ratio of number of favorable outcome to the
i.e. Probability [tex]P(E)=\frac{number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes.}[/tex]
We have,
An ATM Card having three-digit code.
Repetition of digits is allowed.
So,
As Repetition is allowed, and we have [tex]10-[/tex]key keypad, and have to guess [tex]3[/tex] digit code,
Then
Total number of outcomes [tex]=10*10*10=1000[/tex]
And
Number of favorable outcome [tex]=1[/tex]
So,
Probability [tex]P(E)=\frac{number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes.}[/tex]
[tex]P(E)=\frac{1}{1000}[/tex]
[tex]P(E)=0.001[/tex]
So, the Probability of correct guess is [tex]0.001[/tex] .
Hence, we can say that the probability of a correct guess on the first try is [tex]0.001[/tex] .
To know more about probability click here
brainly.com/question/11034287
#SPJ3
help me please asap and plz be correct :)
Answers
.. AI = BI
.. 3x +7 = 5x -11
.. 18 = 2x
.. 9 = x
Then
.. AI = 3x +7
.. = 3*9 +7
.. = 34
AI = 34
I need help ASAP I will give brainliest if correct
Answers
we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then
m∠A°+43°=180°------------> m∠A=180°-43°=137°
the answer is m∠A=137°
Part 2) Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?
we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then:
m∠A+m∠C=180∘
(2x+9)+(3x+1)=180---------------> 5x+10=180
x=(180-10)/5=34
m∠A=2x+9-------------> 2*34+9=77°
the answer is m∠A=77°
How long is the base of a parallelogram if it has an area of 100 m2 and a height of 5 m? Enter your answer in the box.
Answers
Area = Base x Height
We have two values which are given;
Area = 100 m²
Height = 5 m
Now, we have to plug in the given values to find the missing, which in this case, is the base
100 = Base x 5
To find the value of base, we have to bring 5 to the other side, since it is multiplied, we do the reverse function, which is division.
[tex] \frac{100}{5} = \frac{5(Base)}{5} [/tex]
5 and 5 cancels out in the right hand side
20 = Base
The base is 20 m long
Math question help :)
Answers
Use corresponding parts of the two triangles.
If two triangles are similar, then the lengths of corresponding parts are proportional.
The small triangle has a vertical side that measures 6 ft. That side corresponds to the height of the tree, h, in the large triangle.
The small triangle has a horizontal side that measures 10 ft. That side corresponds to the side of the large triangle that measures 40 ft.
6 ft corresponds to h
10 ft corresponds to 40 ft
[tex] \dfrac{6}{h} = \dfrac{10}{40} [/tex]
Answer:
Step-by-step explanation:
I think its D.
Which graph represents a phase shift of pi/2 units right for the graph of y=cos x
Answers
Solution:
we are given that [tex]y=cos x[/tex]
Here we are going to plot two curves one for cosx and the othere also of cosx but after making a phase shift of [tex]\pi/2[/tex]
When we do a phase shift by an angle of theta , in that case actaully we add angle negative theta .
For example when we shift the phase of sinx by [tex]\pi/2[/tex] we get [tex]sin(x-\pi/2).[/tex]
Hence we are going to plot the curve of
[tex]y=cosx\\ \\ y=cos(x-\pi/2)=sinx\\[/tex]
Hence the correct option is B.
I need to spend exactly £200, how?
Answers
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. What describes the domain of (gºf)(x)?
Answers
Therefore the Domain you are looking for in words is every x that can be put into f(x) and that gives you a value y that can be put in g(y).
Mathematically:
Dom (g°f) = {x ∈ Dom(f) | f(x) ∈ Dom(g)}
In your case:
Dom (g°f) = { x ∈ R - {7} | f(x) ∈ R - {-3} }
If cos B = 7 over 22, then which of the following is correct?
a. csc B = 7 over 22
b. csc B = 22 over 7
c.sec B = 7 over 22
d.sec B = 22 over 7
Answers
Hope this helped : )
Suppose that an individual has a body fat percentage of 16.4% and weighs 153 pounds. how many pounds of her weight is made up of fat? round your answer to the nearest tenth.
Answers
So multiply 0.164 times 153 to get 25.1lbs of fat.
What is the value of x to the nearest tenth?
x=2.1
x=3.4
x=9.6
x=13.1
Answers
x = (6 * 11.2) / 7 = 9.6 answer
The value of x is 9.6.
To find the value of x to the nearest tenth, we can use the angle bisector theorem, which states that in a triangle, an angle bisector divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Given that:
[tex]\[\frac{6.3}{5.4} = \frac{11.2}{x}\][/tex]
We can solve for x by cross-multiplying:
[tex]\[6.3 \cdot x = 5.4 \cdot 11.2\][/tex]
[tex]\[6.3x = 60.48\][/tex]
Now, divide both sides by 6.3 to isolate x:
[tex]\[x = \frac{60.48}{6.3}\][/tex]
[tex]\[x \approx 9.6\][/tex]
So, the value of x to the nearest tenth is 9.6. Therefore, the correct option is x = 9.6.
I dont know on this one, its complicated
Answers
so a = 11
answer
11 inches
.. (11 in)^2 = 121 in^2
The side length is 11 inches.
_____
A square is a special rectangle. Its length is equal to its width. The area of any rectangle is the product of length and width, but because those are the same for a square, its area is the square of the side length. (square ... square, do you see any relation?)
Finding a square root is the process of finding a number that multiplies by itself to give a particular result. You want to find the square root of 121, so you will know the value (11) that multiplies by itself to give 121. If you don't already know this number, your calculator will find it for you.
What is the 7th term of the geometric sequence 4, −20, 100, …? −312,500 −12,500 62,500 1,562,500?
Answers
.. a[n] = 4*(-5)^(n -1)
Then
.. a[7] = 4*(-5)^6 = 62,500
The 3rd selection is appropriate.
Answer: The correct option is (C) 62500.
Step-by-step explanation: We are given to find the 7-th term of the following geometric sequence :
4, −20, 100, . . .
We know that
the n-th term of a geometric sequence with first term a and common ratio r is given by
[tex]a_n=ar^{n-1}.[/tex]
For the given geometric sequence, we have
first term, a = 4
and common ratio r is given by
[tex]r=\dfrac{-20}{4}=\dfrac{100}{-20}=~~.~~.~~.~~=-5.[/tex]
Therefore, the 7-th term of the given geometric sequence is
[tex]a_7=ar^{7-1}=4\times(-5)^6=4\times 15625=62500.[/tex]
Thus, the required 7-th term is 62500.
Option (C) is CORRECT.
*Please answer*
Don't understand. Please help.
Answers
It is the third option, Product of Powers
I have attached an image that may help you
Answers from anybody please??
Answers
.. (27 in^2)*(8/12)^2 = 27*(4/9) in^2 = 12 in^2
Write an expression for the following situation and solve. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then gave 4 to his students. How many total pencils does Mr.Simms use and give away? Show your work.
Answers
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.
Mr. Simms used 1/4 of the 20 pencils he bought, which equals 5 pencils, and gave away an additional 4 pencils, totaling to 9 pencils used and given away.
To solve how many total pencils Mr. Simms uses and gives away, we first find out how many pencils he used by taking 1/4 of the 20 pencils he bought. To do this, we multiply 20 by 1/4:
20 times 1/4 = 5
Mr. Simms used 5 pencils. He also gave away 4 pencils to his students. To find the total number of pencils used and given away, we add the pencils used to the pencils given away:
5 (used) + 4 (given away) = 9
Therefore, Mr. Simms used and gave away a total of 9 pencils.
I need help with this
Answers
=-0.22(1.8) is -0.22 times 1.8
= -0.396
The answer is -0.396
Hope this helps! :)
The staff at Larry's Lawns spends their workday mowing lawns, raking, and bagging leaves. They work an average of nine hours per day. The mowing and raking typically takes six hours and an average of thirty-six bags of leaves are filled. Assuming the bags are filled at a constant rate, what is the average time it takes to fill one bag of leaves?
Answers
The average time it takes to fill one bag of leaves is approximately 0.17 hours.
Explanation:To find the average time to fill one bag of leaves, we use the formula
Average Time=Total Time÷Total Bags. In this scenario, the total time spent is the average workday hours, which is 9 hours, and the total number of bags filled is 36.
So,
Average Time=9hours÷36bags=0.25 hours/bag.
Therefore, the average time it takes to fill one bag of leaves is 0.25 hours or 15 minutes. This means, on average, it takes 15 minutes to fill each bag of leaves.
In summary, the staff at Larry's Lawns spends 9 hours a day on lawn-related tasks, with mowing and raking taking 6 hours. Since they fill an average of 36 bags of leaves in that time, each bag takes approximately 0.25 hours or 15 minutes to fill, assuming a constant rate of filling.
To find the average time it takes to fill one bag of leaves at Larry's Lawns, divide the total time spent filling bags by the number of bags filled. Time per bag = 1/6 hours per bag.
Explanation:To find the average time it takes to fill one bag of leaves, we need to divide the total amount of time spent filling bags by the number of bags filled. In this case, the staff at Larry's Lawns spend 6 hours mowing and raking and fill 36 bags of leaves. So to find the average time per bag, we divide 6 hours by 36 bags:
Time per bag = Total time / Number of bags = 6 hours / 36 bags
Since we want the average time per bag, we can simplify the fraction:
Time per bag = 1/6 hours per bag.
a basketball player made 27 free throws in her last 45 tries. what is the experimental probability that she will make her next free throw?
Answers
Bess ur day.
How could you find an equation of a quadratic function with the zeroes of -3 and 1?
Answers
The simpliest quadratic function is y=(x+3)(x-1)
or y=x²+2x-3
You have a cd-rw drive that advertises speeds of 32x/12x/48x. what is the read speed of the drive?
Answers
Knowing this we can tell that our CD-RW drive has:
32x of writing speed
12x of rewriting speed
48x of reading speed
We can conclude that the reading speed of our CD-RW drive is 48x
Select the correct product.
(2x + 9)(x + 1)
2x2 + 11x + 9
3x2 + 11x + 9
2x2 - 7x + 9
2x2 + 11x + 10
Answers
2x * x + 2x * 1 + 9 * x + 9 * 1
= 2x^2 + 2x + 9x + 9
= 2x^2 + 11x + 9
The answer would be the first option.
Hope this helps!
Final answer:
To find the product of (2x + 9) and (x + 1), we use the distributive property and combine like terms, resulting in 2x² + 11x + 9.
Explanation:
The student is asking for the correct product when multiplying the binomials (2x + 9) and (x + 1). This is a math problem involving algebraic multiplication.
To find the product, we apply the distributive property (also known as FOIL method in binomials):
Multiply 2x by x to get 2x².Multiply 2x by 1 to get 2x.Multiply 9 by x to get 9x.Multiply 9 by 1 to get 9.Combine the terms to get the final product: 2x² + 2x + 9x + 9, which simplifies to 2x² + 11x + 9.
The correct product of (2x + 9)(x + 1) is 2x² + 11x + 9.