The surface area of a cone is square units. the height of the cone is times greater than the radius. what is the length of the radius of the cone to the nearest foot? the radius is about feet.
Answers
The radius of the cone is 7 feet
How to determine the radius?The given parameters are:
Surface Area, A = 216π
h = 8/3r
The surface area of a cone is:
[tex]A = \pi r(r + \sqrt{h^2 + r^2})[/tex]
So, we have:
[tex]216\pi = \pi r(r + \sqrt{(8/3r)^2 + r^2})[/tex]
Factor out r
[tex]216\pi = \pi r(r + r\sqrt{(8/3)^2 + 1})[/tex]
Evaluate the exponent
[tex]216\pi = \pi r(r + r * 2.85)[/tex]
Evaluate the sum
[tex]216\pi = \pi r(3.85r)[/tex]
Divide both sides by pi
[tex]216 = 3.85r^2[/tex]
Divide both sides by 3.85
[tex]56.10 = r^2[/tex]
Take the square roots of both sides
r = 7 (approximately)
Hence, the radius of the cone is 7 feet
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Answer:
The radius is about 9 feet.
Hope this helps!
Step-by-step explanation:
Related Questions
What is the surface area of the rectangular prism below?
Answers
Answer:
the answer is A. 612
Step-by-step explanation:
SA=2(wl+hl+hw)
parenthesis() mean multiply
x means multiply
SA= 2 x width x length + height x length + height x width
A rectangle has a perimeter of 80 centimeter. its height is four times the length of its base. what is the lenght of its base?
Answers
Answer:
8 cm
Step-by-step explanation:
To find the length of the rectangle's base, form 2 equations using the given information.
Perimeter of rectangle= 2(height +base)
Let the lengths of the height and base of the rectangle be h and b cm respectively.
Perimeter= 80
2(h +b)= 80
h +b= 80 ÷2
h +b= 40 -----(1)
h= 4b -----(2)
Let's solve by substitution!
Substitute (2) into (1):
4b +b= 40
5b= 40
b= 40 ÷5
b= 8
Thus, the length of its base is 8 cm.
Write the following fraction as a decimal number. 4/3/100 4.003 4.03 4.33 4.34
Answers
Answer:
133.3 <-- goes on forever
I think the rest are in decimal form.
Write down the coordinates of point A.
( ……… , ………)
b) The line L is shown on the grid. Find the equation of line L in the form of y = mx + c.
..............................
Answers
The coordinates of point A is: (-2, 5)
The equation of line L, in slope-intercept form, is: y = 1/2x + 2
What is the Equation of a Line?In slope-intercept form, the equation of a straight line is given as, y = mx + b, where:
b is the y-intercept, which is where the line cuts the y-axism is the slope = change in y / change in x.The coordinates of point A is: (-2, 5)
Slope (m) of line L = 2/4 = 1/2.
y-intercept (b) = 2
The equation of line L will be:
y = 1/2x + 2.
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Helpppppppppp meeeeeee pleaseeeeeeeee
Answers
Answer:
If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5
Answer:
49 and 51
Hope it helps
Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
The area is 812ft
Answers
Answer:
about 98 dollars to cover the whole room in carpet
Step-by-step explanation:
The Carpet costs $8.30 per square foot, so 812 ÷ 8.30 = 97 with remainder. Therefore 98 as a rounded total ✅
What is the average speed of a turtle that moved 50 inches in 5 minutes? (speed = distance ÷ time)
A.
55 inches per minute
B.
10 inches per minute
C.
0.1 inches per minute
D.
250 inches per minute
Answers
Answer: It would be B 10 inches per minute
Step-by-step explanation: Because if it is (Speed=distance/time) that would mean you would divide 50 into 5 which would be 10 50/5 5x10=50
Suppose that F(x) = x² and G(x) = -1/3 (x+4)^2. Which statement best compares the graph of G(x) with the graph of F(x)?
Answers
Answer: C
Step-by-step explanation:
The graph is shifted 4 units left as seen with (x+4) so x = -4.
The graph is reflected over the x axis as seen with -a
The graph is compressed vertically because the functions a value is less than f(x) = [tex]x^2[/tex]
Answer:
D
Step-by-step explanation:
Changes observed :
Coefficient of x² becomes 1/3 of original, this means it is vertically compressedAlso, the coefficient has become negative, meaning it is flipped over the x-axisx² is now (x + 4)², this means it has shifted 4 units to the left.The correct option is D.
Which number sentence is represented by this model?
Answers
Answer:
Correct answer is B. -3 • 5 = - 15
HELP ASAP
Given the graph below, solve for the equation of the circle. Show your work and explain the steps you used to solve.
Answers
Answer:
(x + 3)^2 + (y - 3)^2 = 5^2
Step-by-step explanation:
They're not really much to show work. Looking at the graph we need to find the origin which is (h ,k), and the radius.
(h , k) = (-3 , 3)
The radius is r = 5 because counting it from origin to the edge.
Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2
(x - (-3))^2 + (y - 3)^2 = 5^2
(x + 3)^2 + (y - 3)^2 = 5^2
Round your answers to the nearest cent.
f(0) =
meaning the cost of buying
gallons of paint would be
in the context of the problem.
f(10)
, meaning the cost of buying
gallons of paint would be
in the context of the problem.
f(67.5)
meaning the cost of buying
gallons of paint would be
This interpretation
in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the
function is
=
This interpretation
=
This interpretation
Answers
The interpretations of the function values are: the cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively
How to interpret the function values?The equation of the function is given as:
f(x) = 9√x
When x = 0, 10 and 67.5, we have:
f(0) = 9√0 = 0
f(10) = 9√10 = 28.5
f(67.5) = 9√67.5 = 73.9
Hence, the interpretations of the function values are:
The cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively
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Type the missing number in this sequence:
6, 8, 11, 15, 20,____,33
Answers
Answer: 26
Step-by-step explanation: the pattern is +2, +3, +4, +5. +6, +7
6+2 = 8
8+3 = 11
11+4 = 15
15+5 = 20
20+6 = 26
26+7 = 33
Answer:
26
Step-by-step explanation:
In this, the addition of numbers is starting from 2 and continue. Such as 6+2=8,then 8+3=11. Similarly the addition of numbers is continuing
A second boat passes by your port, at a distance of 1,500 feet from shore. 10 seconds later, the boat is 2,000 feet away from you. how fast was the boat going?
Answers
So 2000-1500=500 (how far the boat went in the given time)
the time is 10 seconds
500/10=50ft/sec.
what is the measure of angle 7 ?
Answers
Answer:
97°
Step-by-step explanation:
Please see attached
In Exercises 4 and 5. graph the polygon and its image after a reflection in the given line.
Answers
Answer is A
What are the values of the function when x=-2 and when x=4
Answers
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.
Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.
x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.
x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.
what is an event in which the outcome does impact the probability of the next event?
Answers
Answer:
Dependent Event
Step-by-step explanation:
Dependent Events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.
The two expressions below have the same value when rounded to the nearest hundredth. log subscript 5 baseline b. log subscript 9 baseline 48 what is the approximate value of log b to the nearest hundredth?
Answers
The approximate value of log b to the nearest hundredth is 1.23
Laws of logarithmGiven the following logarithmic expressions
loog(5)b and log(9)48
Determine the value of log(9) 48
log(9)48 = 1.762
Equate log(5) b to 1.762 to log(5)b to determine the value of b
log(5)b = 1.762
b = 5^1.762
b = 17.044
log b = log 17.044 = 1.232
Hence the approximate value of log b to the nearest hundredth is 1.23
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Answer:
B = 1.232
Step-by-step explanation:
Just did it
A quantity y varies inversely with the square of x. if y=8 when x=3, find y when x is 4.
Answers
I think 7/2 im not definate
I really need help (i will give brainlist) Which function has a greater y-intercept ... f(x) or g(x)?
g(x)
f(x)
They are the same.
Answers
Answer:
they are exacly the same
Step-by-step explanation:
Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today. Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.
Jackie randomly picks some clothes.
What is the probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt?
Answers
Answer:
2/9
Step-by-step explanation:
i just took a test with this exact question, and the answer was 2/9
youre welcome future learners ;)
Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students also contributed?
E. $6.50
F. $6
G. $7
H. $8
Answers
Answer:
8$
Step-by-step explanation:
4 students contribute 12$ Each.
So, total amount becomes 12 x 4 = 48$
If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$
6a-2y>4
Solve inequality for y
Answers
y < -2 +3a
Isolate the variable by dividing each side by factors that don't contain the variable.
Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
62°
Step-by-step explanation:
We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:
"In any triangle, the ratio of a side length to the sine of its opposite angle
is the same for all three sides"
[tex]\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}[/tex]
where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c
For the given triangle we get
44/sin90 = 39/sin?
sin90 is 1 so we get 44/1 = 39/sin?
or cross-multiplying,
sin? = 39/44 = 0.886363..
? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer
Answer:
? ≈ 62°
Step-by-step explanation:
using the sine ratio in the right triangle
sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{39}{44}[/tex] , then
? = [tex]sin^{-1}[/tex] ( [tex]\frac{39}{44}[/tex] ) ≈ 62° ( to the nearest degree )
I need help on this please
Answers
Answer:
Volume of a cone = (1/3) πr³
r = radius = d/2 = 2/2 = 1 ft
Volume = (1/3) * π * 1³
volume = 1.04 cubic ft
how to solve x-3y=1 4x+5y=4 using elimination
Answers
Answer:
X=1, Y=0
Step-by-step explanation:
Solve for X and Y using a2 +b2 = c2
combien font 3579+826
Answers
give answer in simplest form with working out pls
Answers
Answer:
5 x 5+3/5= 25+3/5=28/5÷8/3
28/5 x8/3= 224/15 =14.93
PLEASE HELP ME WITH THIS QUESTION!!!
Answers
9x²+3x-1=0
D=b²-4ac
= 3²-4×9×-1
=9+36
=45
x1= (-b+VD)/2a
= (-3+V45)/2×9
= (-3+3V5)/18
=(-1+V5)/6
x2=(-b-VD)/2a
=(-3-3V5)/18
=(-1-V5)/6
A student made an 84% on
their Unit 1 Math Test.
What fraction is equivalent to
the score the student made on
the test?
Answers
Answer:
84/100
Step-by-step explanation:
We know that 100% is a whole, so we can use this as our denominator. If the student only got an 84, this will be our numerator. The numerator is a part of a whole, 84 is a part of 100. Therefore the answer would be 84/100.