The volume of a cone is given by the formula:
V = (1/3) * π * r² * h
Where V is the volume, r is the radius, and h is the height.
In this case, we know the radius (4.96) and the volume (102), so we can use the formula to solve for the height.
Substituting the known values into the formula, we get:
102 = (1/3) * π * (4.96)² * h
Dividing both sides by (1/3) * π * (4.96)², we get:
h = 102 / [(1/3) * π * (4.96)²]
Substituting in the value for π, we get:
h = 102 / [(1/3) * 3.14 * (4.96)²]
Which simplifies to:
h = 102 / [(1/3) * 3.14 * 24.1952]
Which simplifies to:
h = 102 / (0.7853 * 24.1952)
Which simplifies to:
h = 102 / 19.1268
Which is approximately 5.33.
Therefore, the estimated height of the cone is approximately 5.33.
To learn more about the volume of cones, please refer to https://brainly.com/question/12004994
Answer:
Step-by-step explanation:
The volume of a clone = 1/3 × π × r^2 × h
Volume, v = 102
Radius r = 4.96
r^2 = 4.96^2 = 24.6016
Approximately = 24.6
π = 3.142
v = 1/3 x π x r^2 x h
Cross multiply
3v = π x r^2 x h
h = (3 x 102) / 24.6 x 3.142
h = 3.959 cm
I hope this was helpful
Translate story problems into equations. Solve equations. Translate story problems into inequalities.
Step-by-step explanation:
solve inequalities
by:
Add (or subtract) a number from both sides
Multiply (or divide) both sides by a positive number
Simplify a side
plzzz help square paralellogram
Answer:
1. x=12
2. x=7
Step-by-step explanation:
A TV that usually sells for $176.98 is on sale for 20% off. If sales tax on the TV is 9%, what is the price of the TV, including tax?
Answer:
i dont know
Step-by-step explanation:
hi
find the length of the arc shown in red ASAP
Answer: 16.75
Step-by-step explanation:
you might need to round up to 17 if 16.75 isn't an answer on your assignment
4 divided by 1/2 show your work
Answer:
8
Step-by-step explanation: frst 1/2=0.5
4/0.5=8
Answer:
4 divided by 1/2 is equal to 8
Step-by-step explanation:
basically do 4*2 and you will get your answer
or you should know that 1/2=0.5
so how many 0.5 are in 4, 2 0.5's are in 1 so you have to do 2*4
hope this helped, can i please get brainiest
7,945100 is equal to which number?
7,945
79.45
0.7945
7.945
Answer:
7.945 Million the answer. yah...
Please Help ASAP!!!!!!!!
Answer:
2 i think
Step-by-step explanation:
can somebody help me
Answer: √20 c. √50 d. ³√16 e. ³√8 f. 4√125 g. 2³√64 h. √⅓ i. √⅜ j. ³√9/8
Step-by-step explanation:
The legs of a right triangle have lengths x and x + 2. If x = 6, what is the length of the hypotenuse?
A. 4
B. 6
C. 8
D. 10
Which equation best represents the relationship between x and y shown in the table.
Answer:
the answer is D) y=2x+2
as
2=2*0+2
10=2*4+2
18=2*8+2
hope this helps
The point (3,2) reflected in the x-axis is (
,
).
Reflect (3,2) in the y-axis.
The point (3,2) reflected in the y-axis is (
,
).
Answer:
reflected across the x-axis is 3,-2 and the y axis is -3,2
Step-by-step explanation:
When you reflect over the X axis it will stay the same numbers but change the Y axis sign. the same thing happens to the y -axis but the x changes siogns instead
help me please??????
Answer:
c
Step-by-step explanation:
what is the least common denominator between 3/4 4/5 and 2/3
Answer:
The Least Common Denominator of 3/4, 4/5 and 2/3
Would be,
4 × 5 × 3 = 60
Hence,
60 is the L.C.D of 3/4, 4/5 and 2/3
Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
Answer:
2y - 3x = -15
Step-by-step explanation:
Slope of the line 4x + 6y = 1 is as shown below;
Rewrite in slope intercept form;
6y = -4x+1
y = -4x/6 + 1/6
y = -2x/3 + 1/6
mx = -2/3x
m = -2/3
The slope of the line perpendicular M = -1/(-2/3)
M = 3/2
Get the x and y intercept of 2x+3y = 18
x intercept occurs when y = 0
2x + 0 = 18
x= 18/2
x = 9
y intercept occurs when x = 0
0 + 3y = 18
3y= 18
y = 18/3
y = 6
The line passes through the point (9,6)
Write the equation in point slope form
y - y0 = m(x-x0)
y - 6 = 3/2(x-9)
2(y-6) = 3(x-9)
2y - 12 = 3x - 27
2y - 3x = -27 + 12
2y - 3x = -15
This gives the required equation
Ed turns 34 and deposits $100 at the end of each month in IRA that earns 9% interest p.A compounded monthly. Find how much will be in the IRA if Ed retires at the age 60.
Answer:
FV= $123,879.85
Step-by-step explanation:
Giving the following information:
Montlhy deposit (A)= $100
Monthly interest rate (i)= 0.09/12= 0.0075
Number of periods (n)= 12*26= 312 months
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.0075^312) - 1]} / 0.0075
FV= $123,879.85
A box plot is shown below: A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 25 to 39 on the number line. A line in the box is at 33. The whiskers end at 20 and 44. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors. What is the median and Q1 of the data set represented on the plot? Median = 30; Q1 = 20 Median = 33; Q1 = 20 Median = 30; Q1 = 25 Median = 33; Q1 = 25
Answer:
the answer is the last one median= 33; Q1= 25
WILL GIVE BRAINLIEST!!!
Michelle weighs 90 pounds, which is 120% of what she weighed two years ago. How much did she weigh two years ago?
A) 108 pounds
B) 75 pounds
C) 175 pounds
D) 88 pounds
please please please help me
Answer:
Option B
Step-by-step explanation:
Given function is,
p(x) = x²- (2√2)x + 1
We have to find the value of p(2√2).
By substituting the value x = 2√2
p(2√2) = (2√2)² - (2√2)(2√2) + 1
= 8 - (2√2)² + 1
= 9 - 8
= 1
Therefore, Option B will be the correct option.
Analyze the diagram below and complete the instructions that follow.
S
T
U
vo
ro
R
If ARST is an equilateral triangle, find x and y.
Answer:
x = 120
y = 30
Step-by-step explanation:
Given that RST is equilateral, each of its interior angles will be 60 degrees
Looking at x, it lies on a starting line with one of the interior angles of RST
The sum of angles on a straight line is 180
Thus;
x + 60 = 180
x = 180-60
x= 120
Looking at triangle RSU, the markings indicates that we have an isosceles triangle
For an isosceles triangle, the base angles are equal in value
This means that SRU is also y
Mathematically, the sum of angles in a triangle is 180
Hence;
x + y + y = 180
x + 2y = 180
120 + 2y= 180
2y = 180-120
2y = 60
y = 60/2
y = 30
Assignment: Multiply and divide monomials
A clear explanation of how you got your solution would very much be appreciated!
Answer:
10m
Step-by-step explanation:
Your teacher probably told you the necessary fundamentals of monomials. So, I'll just teach you the things needed for this particular question.
10m^3/(10m)(m)
First, in the denominator, since that m are being multiplied and they are the same terms, their exponents add:
10m * m
10m^1 * m^1
1 + 1 = 2
10m^2
Then, since that m are now being divided, their exponents subtract:
10m^3 / 10m^2
3 - 2 = 1
10m^1
10m
the inequality sign.
If you multiply or divide both sides of an inequality by a negative number, you must
А
double
reverse
С
subtract
D
add an equal sign to
What is the approximate area of the shaded sector in the circle shown below?
A. 22.90 cm2
5.4 cm
B. 8.48 cm2
c
C. 11.45 cm2
180°
D. 16.96 cm2
Answer:
The correct answer is [tex]11.45 cm. ^2[/tex]
Step-by-step explanation:
I just got it correct.
The approximate area of the shaded sector in the circle shown is,
⇒ 11.45 cm²
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
A circle is shown in figure with diameter 5.4 cm.
Hence, Radius of circle = 5.4 / 2 = 2.7 cm
Since, Area of circle = πr²
Hence, We get;
Area of circle = πr²
Area of circle = 3.14 × 2.7²
Area of circle = 22.89 cm²
Thus, Area of shaded region of the circle is,
⇒ 22.89 cm²
⇒ 22.89/2 cm²
⇒ 11.45 cm²
Thus, The approximate area of the shaded sector in the circle shown is,
⇒ 11.45 cm²
Learn more about the circle visit:
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Convert radians to degrees
Show all the work
6. 3.8 radians
8. 5π/4(this is a fraction)
Answer:
Below in bold.
Step-by-step explanation:
Degrees = radians * 180/π.
6. 3.8 radians = 3.8 * 180 / π
= 217.7 degrees to nearest hundredth.
8. 5π/4 radians = 5π/4 * 180/π
= 5*180/4
= 225 degrees.
Please answer this ASAP !!
Thank you (picture attached).
Answer:
y=12.25x
i cannot see the question but the slope will be the increase of the certain product
the y is the dependent factor that will increase due to the slope/x-intercept
Step-by-step explanation:
Once sales tax is included, a $500 fancy watch ends up costing $525. What is the sales tax
percentage?
Answer:
5%
Step-by-step explanation:
since 25 is 5% of 500, the sales tax is 5%.
Which table represents a linear function?
Answer:
the first one on the top left corner
it it bc on the right side of the table is counting by twos and so therefore on the left should be added 2 with that number
Answer:
Top left.
Step-by-step explanation:
Because it's constant. X increases by 2 and y increases by 3.
How many years would 18 months be?
1.5 years
1.8 months
about 2 years
Answer:
18 months=1.5 years
Step-by-step explanation:
I hope this helps
Answer:
1.5 years
Step-by-step explanation:
1 year = 12 months
18/12 = 1[tex]\frac{6}{12}[/tex] = 1.5 years
PLEASE HELP DUE MONDAY
P is a function that gives the cost, in dollars, of mailing a letter from the United States to
Mexico in 2018 based on the weight of the letter in ounces, w.
1. How much does it cost to send a letter
that weighs 1.5 ounces? 2 ounces?
2. Sketch a graph of the function on the
coordinate plane
postage (dollars)
Answer:
1: 1.5 would be 1.72 and 2 would also be 1.72.
2: Draw points at (0,1.15) (1, 1.72) (2, 2.29) (3, 2.86) Flatline Connections
Step-by-step explanation:
If Im reading it right you take 1.5 ounces and plug it into the function (it would be between 1 and 2) it would spit out 1.72 (which I'm assuming is the postage)
It will cost
(i) $1.72 if weight is 1.5 ounces,to send a letter.
(ii)$1.72 if weight is 2 ounces, to send a letter.
first, let us find a relation between postage(dollars) and weight(ounces)
this is an equation of a straight line passing through (0,1.5) and (2,0).
y=mx+c
[tex]P(w)=\frac{1.5-0}{0-2} x + c\\\\P(w)=-0.75x+c\\\\[/tex]
since it passes through (2,0) it will satisfy the equation
therefore, c =1.5
the equation will be: [tex]P(w)=-0.75w+1.5[/tex]
after we merge both the relations, we find a single relation between cost and weight
since the cost value is 1.72 in 1 <w [tex]\leq[/tex]2
if weight is 1.5 ounces it is clearly $1.72
if weight is 2 ounces it is clearly $1.72
therefore, it will cost
(i) $1.72 if weight is 1.5 ounces,to send a letter.
(ii)$1.72 if weight is 2 ounces, to send a letter.
to get more about function refer to the link
https://brainly.com/question/20384115
What is the 10th term of the arithmetic sequence defined by the formula
Answer:
4
Step-by-step explanation:
First we should simplify the formula. The simplified formula would be 1/3n+2/3. We then substitute 10 for n. (10/3)+2/3= 12/3=4.
and
Simplify.
13²
pls fast
Answer:
169
Step-by-step explanation:
13^2 is equal to 169.
13x13=169