Answers
Answer:
B. 68pi
Step-by-step explanation:
to find the surface area of a right cone given radius and slant height:
let A = surface area
let r = radius
let l = slant height.
A=pi*r*l + pi* r^2
plug in the values
A=pi*52+pi*16= about 213.62
The surface area of the cone is 68π sq. units.
What is surface area?The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces. The surface area is the total of the areas of the faces.
Given that, the slant height and the radius of a cone is 13 units and 4 units respectively,
We need to find the surface area of the cone,
SA = π×r×l + π×r²
SA = π(4×13+16)
SA = 68π
Hence, the surface area of the cone is 68π sq. units.
Learn more about surface area, click;
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Related Questions
Write the point-slope form of the equation of the line through the given point and slope.
through: (1, -2), slope = -6
y - 2 = -6 (x + 1)
y - 2 = 6 (X + 1)
y + 2 = -6 (x - 1)
y + 2 = 6 (x - 1)
Answers
Answer:
[tex]y +2 =-6(x - 1)[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,-2)[/tex]
[tex]m=-6[/tex]
Required
Determine the point slope equation
This can be determined using the following formula:
[tex]y - y_1 =m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (1,-2)[/tex]
[tex]m=-6[/tex]
So, we have:
[tex]y - (-2) =-6(x - 1)[/tex]
This gives:
[tex]y +2 =-6(x - 1)[/tex]
Hence, the point slope form is [tex]y +2 =-6(x - 1)[/tex]
F(x) = 2x+6, g(x) = 3² findf(g (-3))
Answers
Step-by-step explanation:
If F(x) = 2x+6, g(x) = 3² findf(g (-3))
Solution
f(g (-3)) = 2x+6(3²(-3)) = 2x+6(3×3(-3))
= 2x+6(-27) = 54x-162 = 54x = 162
54/54x = 162/54
x = 3
Answer:
➩ [tex]f(g(-3)) = 24[/tex]
Step-by-step explanation:
➨ Rearrange/Simplify the equations
[tex]F(x)=2x+6\\g(x)=9[/tex]
➨ Find [tex]f(g(-3))[/tex]
[tex]g(-3)=9[/tex] ➩ All x-values have same y-values ➩ Constant Function
Substitute [tex]g(-3) = 9[/tex] in the f(x)
[tex]f(g(-3)) = f(9)\\f(9)=2(9)+6\\f(9)=18+6\\f(9)=24\\f(g(-3)) = 24[/tex]
Thus, the answer ➩ [tex]f(g(-3)) = 24[/tex]
Can you help with all label them by there numbers plz thank you
Answers
Answer:
13- 25 fish
14- 9 miles
15- 7.825 ft3
16- 11.3 feet
Step-by-step explanation:
13-
14 x 2 = 28 fish
He dropped three things so:
28 - 3 = 25 fish
14-
7 days x 3weeks = 21 days
3laps x 21 days = 63 laps
63 laps x 1/7 mile = 9 miles
15-
all his savings: 2.6 + 7.34 + 5.71 = 15,65 ft3
melted snow = 15.65 / 2 = 7.825 ft3
16-
3.5 - 1.8 = 1.7 feet
1.7 + 9.6 = 11.3 feet
Answer:
Step-by-step explanation:
# 13.
I assume there will be no bonus, because penguin dropped some things.
14 × 2 - 3 × 1 = 25 fish
# 14.
3 laps, [tex]\frac{1}{7}[/tex] mile, 7 days, 3 weeks
3 × [tex]\frac{1}{7}[/tex] × 7 × 3 = 9 miles
# 15.
[tex]\frac{2.6+7.34+5.71}{2}[/tex] = 7.825 ft³
# 16.
[tex]3\frac{1}{2}[/tex] = 3.5
+ 3.5 - 1.8 + 9.6 = (3.5 + 9.6) - 1.8 = 11.3 ft.
2. Danny goes to McDonald's with her friends. They buy 3 Big
Macs, 2 Chicken Sandwiches, 5 French Fries and 4 Cokes.
McDonald's also charges 8.25% sales tax. How much will Danny
and his friends pay for the meal, including taxes. If Danny pays
the cashier $100, how much change will he get back?
Answers
Hugo and Viviana work in an office with ten other coworkers. Out of these 12 workers, their boss needs to choose a group of four to work together on a project. Suppose Hugo and Viviana absolutely refuse, under any circumstances, to work together. Under this restriction, how many different working groups of four can be formed
Answers
Answer:
450
Step-by-step explanation:
The total number of possible working groups of 4 workers selecting from 12 workers is the number of ways of selecting 4 persons from 12 persons
[tex]=\binom{12}{4}=\frac{12\times 11 \times 10 \times 9}{1\times 2 \times 3\times 4}=495[/tex]
The total number of possible groups of 4 workers in which 2 persons (Hugo and Viviana) always come together
[tex]= \binom {12-2}{4-2}=\binom {10}{2}=\frac{10\times9}{1\times2}=45[/tex]
So, the total number of possible working groups in which Hugo and Viviana are not working together in any of the groups [tex]= 495-45=450[/tex].
There are 16 girls and 18 boys in a class. The teacher chooses a student's name at random to answer a question.
What is the probability that the teacher chooses a girl to answer the question?
А: 1/34
B:1/16
C:8/17
D: 8/9
Answers
Answer:
I would go with c
Step-by-step explanation:
if it is incorrect sorry
A 1125 ft^3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top lush with the ground to catch runoff water. The costs associated with the tank involve not only the material from which the tank is made but also an excavation charge proportional to the product xy.a. If the total cost isc = 5(x^2 + 4xy) + 10xy,what values of x and y will minimize it?b. Give a possible scenario for the cost function in part (a).
Answers
Answer:
The values of x and y that will minimize the cost is 15 ft and 5 ft respectively and the minimum cost will 3,375
Step-by-step explanation:
With a 1125 ft^3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top lush with the ground to catch runoff water, x is the length, y is the height;
x^2*y = 1125
y = 1125/x^2 ----(1)
The total cost of c = 5(x^2 + 4xy) + 10xy
Then,
c = 5(x^2 + 4x*(1125/x^2)} + 10x*(1125/x^2)
c = 5x^2 + 22,500/x + 11,250/x
c = 5x^2 + 33,750/x
To minimize the cost of c, find the derivatives of c; c'
c' = 10x - 33,750/x^2
c' = (10x^3 - 33,750)/x^2
c'(x) = 0; 10x^3 = 33,750
x = ³√33,750 = 15
x = 15; y = 1125/x^2
y = 1125/15^2 = 5
(x,y) = (15,5)
c = 5x^2 + 33,750/x
c = 5*15^2 + 33,750/15 = 3,375
The values of x and y that will minimize it is 15 ft and 5 ft respectively and the minimum cost will 3,375
The values of x and y that will minimize the cost is 15ft and 5ft. The minimum cost is 3,375
We have volume of a rectangular tank = 1125 ft^3
Side of a rectangular tank = x ft and
Length of a rectangular tank =y ft
So, [tex]x^2y = 1125[/tex]
[tex]y = \frac{1125}{x^2} ...(1)[/tex]
The total cost of rectangular tank (c) = [tex]5(x^2 + 4xy) + 10xy[/tex]
[tex]c = 5(x^2 + 4x(\frac{1125}{x^2} ) )+ 10x(\frac{1125}{x^2} )\\c = 5x^2 +\frac{22,500}{x} + \frac{11250}{x} \\c = 5x^2 + \frac{33750}{x}[/tex]
Differentiating it w.r.t x, we get
[tex]c' = 10x - 33,750/x^2\\c' =\frac{10x^{3}-33750 }{x^{2} } \\c'(x) = 0\\10x^3 = 33,750\\x = \sqrt[3]{33,750} \\ = 15\\x = 15; y = \frac{1125}{x^2} \\y = \frac{1125}{15^{2} } \\= 5\\(x,y) = (15,5)\\c = 5x^2 + \frac{33750}{x} \\c = 5(15)^2 + 33,750/15 \\= 3,375[/tex]
The values of x and y that will minimize the cost is 15 ft and 5 ft and the the minimum cost is 3,375.
Learn more:https://brainly.com/question/6995312
Given the expression 1/4 - 3/5, select the addition problem that is equivalent to it.
Answers
Given that,
An expression [tex]\dfrac{1}{4}-\dfrac{3}{5}[/tex]
To find,
The value of above expression.
Solution,
We have,
[tex]\dfrac{1}{4}-\dfrac{3}{5}[/tex]
The LCM of 4 and 5 is 20.
[tex]\dfrac{1}{4}-\dfrac{3}{5}=\dfrac{(5)-4(3)}{20}\\\\=\dfrac{5-12}{20}\\\\=\dfrac{-7}{20}[/tex]
So, the required answer is [tex]\dfrac{-7}{20}[/tex].
Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.
The question is on the screenshot.
RULE 1: Do not answer just for points because that's just mean.
Answers
Please help hurry. Drag each number to the correct location on the table.
Classify the numbers according to their positions on a vertical number line
Answers
Answer:
Between -2 and 1 is -0.5 and 0.5
Below -2 is -4.5 and -2.5
Above 1 is 4 and 1.5
Step-by-step explanation:
Can i have brainliest?
Answer:
Below -2: -4.5 & -2.5
Between -2 & 1 : -0.5 & 0.5
Above 1: 4 & 1.5
Step-by-step explanation:
Hopefully that helps you guys!!!
p-1÷p=5 then p2-1÷p2=? finda the value of p
Answers
Answer:
10
Step-by-step explanation:
since everything is doubled
we just do 5 multiplyed by 2
help pls due today i am just trying to get good grades
Answers
Answer:
c
Step-by-step explanation:
because the question already told that a table has four chairs. So, we need the number of tables in the cafe to calculate number of chairs
(2 + 9) (3 ÷ 4) answer this
Answers
Answer:
Fraction- 33/4
Decimal- 8.25000
Step-by-step explanation:
Hope this helps!
Brain-List?
Line segment EG is partitioned by point F in the ratio 1:3. Point E is at E (0,4), and point F is at (1,3). What are the coordinates of point G?
Please help ASAP.. I’m really stuck >.< Any help is appreciated! (70 Points!!)
Answers
Answer:
1,4
Step-by-step explanation:
0,4 1,3 has to be farther
Answer:
(4,0)
Step-by-step explanation:
4 quarts of organic grapes cost $20 what is the cost per quart
Answers
List the angles of the triangle in order from largest to smallest.
Question 1 options:
A)
∠B, ∠C, ∠A
B)
∠A, ∠B, ∠C
C)
∠A, ∠C, ∠B
D)
∠C, ∠B, ∠A
Answers
So with this information, it is obvious that c is the largest angle and a is the smallest angle.
So your answer is option d
Answer:
Step-by-step explanation:
Evaluate the expression shown for x = 9.
5
--X+7
6
0
-13.
ܝ
2.
Answers
Answer: B or -I/2
Step-by-step explanation: I did this question
Fractions finding the whole
Answers
Answer:
top left: 1/3
top right: 16
bottom left: 1/3
bottom right: 15
Step-by-step explanation:
Watch help video
What is the surface area of the cylinder with height 2 km and radius 8 km? Round
your answer to the nearest thousandth.
Answers
Answer:
I think its 502.65 km 2
Step-by-step explanation:
(This is what I think, I might be wrong)
Answer:
502.655km
Step-by-step explanation:
help please!!! PLEASE HELP!
Answers
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
Corresponding segments are proportional.
2x/12 = (x+4)/9
18x = 12(x +4) . . . . . multiply by 9·12
6x = 48 . . . . . . . . . . subtract 12x
x = 8 . . . . . . . . . . . . divide by 6
Which function is represented by the graph
Answers
Answer: y = -2|x| + 1
Step-by-step explanation: it is an absolute value function, y = |x|, moved up one. then we see that it has been flipped. it has also been vertically stretched by a factor of 2.
A bag of skittles contains green, orange, red, and yellow candies. 2/3 of the bag contains green and orange candies and 1/12 of the bag is red candies. What is the probability of picking out a yellow skittle from this bag?
Answers
Answer:
4/12
Step-by-step explanation:
A Super Happy Fun Ball is dropped from a height of 4 feet and rebounds 4 5 of the distance from which it fell. How many times will it bounce before its rebound is less than 1 foot
Answers
Answer:
More than 6.21 times
Step-by-step explanation:
The common ratio [tex]r=\dfrac{4}{5}[/tex]
Distance of first bounce
[tex]a_1=4\times \dfrac{4}{5}=\dfrac{16}{5}[/tex]
Second bounce
[tex]a_2=ar^{n-1}=\dfrac{16}{5}(\dfrac{4}{5})^{2-1}\\\Rightarrow a_2=\dfrac{16}{5}(\dfrac{4}{5})[/tex]
n bounce
[tex]a_n=ar^{n-1}\\\Rightarrow a_n=\dfrac{16}{5}(\dfrac{4}{5})^{n-1}[/tex]
Now the nth bounce will be less than 1 feet
[tex]\dfrac{16}{5}(\dfrac{4}{5})^{n-1}<1\\\Rightarrow (\dfrac{4}{5})^{n-1}<\dfrac{5}{16}[/tex]
Applying logarithms on both sides we get
[tex](n-1)\ln \dfrac{4}{5}<\ln\dfrac{5}{16}\\\Rightarrow n>\dfrac{\ln\dfrac{5}{16}}{\ln \dfrac{4}{5}}+1[/tex]
The inequality changes as both [tex]\ln\dfrac{5}{16}[/tex] and [tex]\ln \dfrac{4}{5}[/tex] are negative numbers.
So,
[tex]n>6.21[/tex]
Hence, the number of bounces is more than 6.21 times.
Figure ABCD is a rectangle. Find the value of x. 9x - 6 3x + 12 x= [?]
Answers
Answer:
x=3
Step-by-step explanation:
9x-6=3x+12
6x=18 |:6
x=3
A 3-column table with 3 rows. Column 1 is labeled Seller with entries wholesaler, Distributor, Retail Store. Column 2 is labeled markup with entries 0 percent, 100 percent, 80 percent. Column 3 is labeled Selling Price with entries 80 cents, A, B. A distributor buys packs of trading cards from a wholesaler for $0.80 each. The distributor marks up the cards by 100% before selling them to stores. How much does the distributor sell each pack of cards for? The stores then mark up the cards another 80% before selling them to customers. How much does the retailer sell a pack of cards for? A = B =
Answers
Answer:
Step-by-step explanation:
Answer:
$1.60
$2.88
Step-by-step explanation:
To find the selling price of the distributor and the retailer, we first need to find how much the distributor sells each pack of cards.
To find the selling price we use the formula.
Selling Price = Cost + Markup
Cost = $0.80
Markup rate = 100% or 1
Selling Price = 0.80 + (0.80*1)
Selling Price = $1.60
So the distributor sells each pack of cards at $1.60 to the retailer.
Now to find the selling of the retailer, we need to use the selling price of the distributor.
Cost = $1.60
Markup rate = 80% or 0.80
Selling price = 1.60 + (1.60 * 0.80)
Selling price = $2.88
So the retailer sells each pack of cards at $2.88 to the customers.
Answer:
A = $1.60
B = $2.88
Step-by-step explanation:
I did the work on brainly and got it right
Hope this helps :D
–4(5x – 9) + 6(2x + 5)?
Answers
-2 (10x - 18 - 3 (2x + 5))
-2 (4x -18 -15
Answer = -2(4x - 33)
Which of the following expressions is equivalent to (-7)5?
Answers
Answer: A would be the answer hope this helps
Answer correct plz if u steal points ill report
Answers
Answer:
I my knowledge
option D y=6x
Step-by-step explanation:
and I am 100% sure you
Answer:
y=6x
Step-by-step explanation:
Find f(-4) if f(x) = -3x+5
Answers
In a game of chance there is a box filled with 20 black balls, 13 red balls, and 7 green
balls. If a single ball is drawn from the box, then what is the probability that the ball
is green?
Please help me out.
Answers
Answer:
7/40
Step-by-step explanation:
7 balls are green-->numerator
7 balls out of 40( in total) are green.
7/40
This means that out of every 40 balls picked, 7 of them should be green.