Answer:
A) [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters
Step-by-step explanation:
The formula for finding the volume of a cone is [tex]V=\frac{1}{3}\pi r^{2} h[/tex] where [tex]V[/tex], [tex]r[/tex], and [tex]h[/tex] are the cone's volume, radius, and height, respectively. We are given that we need to solve for the cone's volume, and we are also given the cone's height, but we don't know its radius. Not to worry though because we are given its diameter, and since radius is simply half of the diameter, we know that the cone's radius is [tex]\frac{12}{2}=6[/tex] m. Now, we know that [tex]r=6[/tex] and [tex]h=7[/tex], so plugging these values into the equation, we get:
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
[tex]= \frac{1}{3} \pi *6^{2} *7[/tex] (Substitute given values into equation)
[tex]=\frac{1}{3}\pi *36*7\\=84\pi[/tex] (Simplify)
Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], we know that [tex]84\pi =84*3.14=263.76[/tex]. Therefore, the volume of the cone is [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters. Hope this helps!
If you earn $40 a year on a $500 investment, what is the annual rate of return?
Answer:
40/500 = 8%
Step-by-step explanation:
40/500 = 8%
So the answer is 8%/year. The question is if the $40 is reinvested, then will the following year's return be 8% of $540 is $43.20? If it were, this would be an example of compound returns is getting interest (or a return) on the previously earned interest. That's an 8% per annum simple yield. You'd be better off finding something that compounded your investment.
The annual rate to return will be 8%.
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Simple interest = $40
Principal amount = $500
Time = 1 year
Now,
Since, We know that;
⇒ Simple interest = P R T/100
Substitute all the values, we get;
⇒ $40 = $500 x R x 1 / 100
⇒ $40 × 100 = $500R
⇒ $400/$500 = R
⇒ R = 8%
Thus, The annual rate to return will be 8%.
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Landon hands out 120 flyers in 2 hours. Fernando hands out 29 flysers in 30 minutes. Which equation can be used to determine the number of flyers Fernando handed out in 2 hours?
Answer:
0.5x = 48
96 flyers
Step-by-step explanation:
Given that:
Fernando hands out 29 flyers in 30 minutes ;
Number of flyers he hands out in 2 hours ;
29 flyers = 0.5 hours
Let number of flyers he hands out in 2 hours = x
Hence,
29 flyers = 0.5 hours
x = 2
0.5x = 48 flyers
x = 48 / 0.5
x = 96 flyers
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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO
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Is there a solution YES OR NO AND WHAT IS THE SOLUTION?
pleaseeeee.. :)))))))
Answer:
Your picture Is blocked for me
what represents a line that is parallel to x-4y=16 ???
solve the following systems of equations.
5x+3y+4z=1
4x-7y+3z=0
x+5y-2z=-11
Answer:
x= 8
y= -5
z= 0
Step-by-step explanation:
this is the correct answer to this system of equations.
Will mark BRAINLIST only if correct answer
Please need help ASAP only answer if u know the correct answer
Answer:
its the last one third and first
Step-by-step explanation:
Evaluate 5 + 3x for (a) x= -2 and (b)x= 3. Write your answers in simplest form.
Answer:
a. -1
b. 14
Step-by-step explanation:
a.
5 + 3(-2)=
5 + (-6)=
-1
b.
5 + 3(3)=
5 + 9=
14
When x = -2, the value of 5 + 3x is -1,
and when x = 3, the value of 5 + 3x is 14.
Here, we have,
given equation is: 5 + 3x
To evaluate the expression 5 + 3x for the given values of x:
(a) When x = -2:
5 + 3(-2)
= 5 - 6
= -1
(b) When x = 3:
5 + 3(3)
= 5 + 9
= 14
Therefore, when x = -2, the value of 5 + 3x is -1,
and when x = 3, the value of 5 + 3x is 14.
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help pls !ASAP! it a rq question
The ratio of wins to losses was 3 to 5 for the Jackals
baseball team last season. The Jackals won 21 games
last season.
How many games did the Jackals lose last season?
Answer:
35
Step-by-step explanation:
3:5
21;35
as it must be * by 7 as 3*7=21
so therefore we times 5*7 as well
so they has 35 loses
Write a story about elevation that this expression could represent: 56 + (-56)
show that x+1 is a factor of f(x)=2x^4-x^3-35x^2+16x+48 . Then factor f(x) completely
please if possible show steps
Answer:
callate
Step-by-step explanation:
:)))))))))))Determine which consecutive integers do not have a real zero of f(x) = x3 - 4x2 - 4x+ 15 between them. a (4, 5) c. (2-1) b. (1, 2) d (-3,-2)
Answer: B
Step-by-step explanation: the answer is (0,1)
What is the correct factorization of x2+6x+8?
Answer:
(x + 2)(x + 4)
Step-by-step explanation:
You find two numbers that you can add to get 6 and that you can multiply to get 8, which would be 2 and 4, so it's (x + 2)(x + 4)
Footlocker has sale ln any three shirts for $55.50 meanwhile nike is having their own sale ln any five sale shirts for $79.99 which store offers the best deal what is your saving per shirt
Answer:
The nike store offers the best deal
The saving per shirt is $2.50
Step-by-step explanation:
Here, we want to compare the prices offered in the two stores
In footlocker, you can get 3 shirts for $55.50
The sales per shirt is thus;
55.5/3 = $18.50
For Nike,
5 shirts for $79.99 which is almost $80
So the price per shirt is $80/5 = $16
We can see that the price at the nike store is better
The difference leading to the savings is;
18.5-16 = $2.50
So you save $2.50 buying from the nike store
Add
-51 + (-16) -
a : - 67
b : 35
C : 67
D : - 35
teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle School. Of these teachers, 8 female teachers and 4 male 8
A.20%
B.12%
C.60%
D.72%
Press on the picture
Answer:
bet, I pressed the picture (lol)
Step-by-step explanation:
it's B
please help me on this will give you brainliest
The first common integer that comes to mind is 40, so multiple the numerator and denominator of the left fraction by 4, and the right by 5. This gives us:
36/40 and 35/40, respectively.
Thus, the left fraction is greater than the right fraction
y = 3/2x + 2
y = 2/3x + 6
These lines are...
Answer:
As the lines are neither parallel nor perpendicular.
Therefore, These lines are neither parallel nor perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the lines
y = 3/2x + 2y = 2/3x + 6y = 3/2x + 2
Finding the slope of y = 3/2x + 2
comparing with the slope-intercept form of the line equation
The slope m₁ = 3/2
y = 2/3x + 6
Finding the slope of y = 2/3x + 6
comparing with the slope-intercept form of the line equation
The slope m₂ = 2/3
So,
m₁ = 3/2
m₂ = 2/3
We know that when two lines are parallel, they have equal slopes
But
m₁ ≠ m₂
3/2 ≠ 2/3
As the m₁ and m₂ are not equal.
Hence, the lines are not parallel.
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = 3/2 × 2/3
= 6/6
= 1
As
m₁ × m₂ ≠ -1
Thus, the lines are not perpendicular.
Conclusion:
As the lines are neither parallel nor perpendicular.
Therefore, These lines are neither parallel nor perpendicular.
What is the pattern in the infinite sequence below?
–3, –1, 1, 3, 5, ...
Multiply the term number by 2, then subtract 5.
Multiply the term number by 3, then subtract 6.
Multiply the term number by 4, then subtract 7.
Multiply the term number by 5, then subtract 8.
Answer:
A. Multiply the term number by 2, then subtract 5
Step-by-step explanation:
Edge 2021
Write an equation where a number is multiplied by a variable, and a solution is -4/5
Answer:
5x = -4
Step-by-step explanation:
5x = -4
x would have to be -4/5 because -4 divided by 5 is -4/5.
The equation will be 5x = -4 to get the solution of -4 / 5.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the number is multiplied by a variable and the solution is -4 / 5. Let the variable be x then multiply the variable by 5 which is equivalent to -4 now solve for the value of x.
The equation will be formed as below:-
5x = -4
x = -4 / 5
Therefore, the equation will be 5x = -4 to get the solution of -4 / 5.
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Solve: 15x - 12 + 7 x + 6 = 60
Answer:
The answer is 3
Step-by-step explanation:
If you combine like terms you get 22x - 6 = 60
Then you set the numbers and x's apart = 22x = 66
Then you divide and get 3
Find the surface area of the prism.
The surface area is square millimeters.
Answer:
57.1mm^2
Step-by-step explanation:
4*4=16
16/2=8mm^2 cross section
(4*3) + (4*3) + (5.7*3) = 41.1mm
8*2=16
41.1+16=57.1mm^2
The surface area of the prism is S = 57.1 mm²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
Let the area of the 2 triangles be T
Let the area of the 2 rectangles be R
Let the area of the third side be U
Now , the total surface area of the prism = T + R + U
where T = 2 x ( 1/2 ) ( 4 x 4 )
T = 16 mm²
R = 2 x ( 3 x 4 )
R = 24 mm²
And , U = 5.7 x 3
U = 17.1 mm²
Therefore , the total surface area of prism S = 16 mm² + 24 mm² + 17.1 mm²
S = 57.1 mm²
Hence , the surface area of prism is S = 57.1 mm²
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You set up a hot chocolate stand at a football game. The cost of your supplies is $75. You charge $0.50 for each cup of hot chocolate. Write a function that represents the profit P for selling c cups of hot chocolate.
Answer:
P = 0.5c - 75
Step-by-step explanation:
Profit is = selling price. - cost price
Cost price is the amount the supplies were bought = $75
The cost of c cups at $0.5 per cup will be
0.5 * c = $0.5c
The profit here is thus;
P = 0.5c - 75
how do you find deviation and standard deviation
Answer: The standard deviation formula may look confusing, but it will make sense after we break it down. ...
Step 1: Find the mean.
Step 2: For each data point, find the square of its distance to the mean.
Step 3: Sum the values from Step 2.
Step 4: Divide by the number of data points.
Step 5: Take the square root.
Step-by-step explanation:
2. There are two different sizes of Fanta Pinapple for you to get. The first one is a
12 oz can, and the bottle has 33% more. How much does the bottle contain
approximately?
4 OZ
0 21 oz
O 16 oz
O 19 oz
Answer:
12/100*133= 15.96
approx 16oz
To multiply 10 with 2/5
you should_________.
Answer:
convert 2/5 to a decimal, which is 0.4
multiplying a value by 10 means you should move the decimal point one unit to the right
so 10 x 2/5 = 4
Step-by-step explanation:
Answer:
i should multiply 10 by 2/5
10×2/5
=20/5
=4
the perimeter of a rectangle is equal to that of a square with the side 13m if thr rectangle is 16m long what is the breadth
Answer:
[tex]2(l + b) = {s }^{2} \\ 2(16 + b) = {13}^{2} \\ 32 + 2b = 169 \\ 2b = 137 \\ b = 68.5[/tex]
5. Use the given figure to solve X- Justify each step below.
2x
*+79
Answer:
2x + 79= 0
2x = -79
X = -79/2
X = -39.5