find the total surface area of this cone leaving you answer in terms of pi radius 5 cm
Answers
Answer:
70pi cm^2
Step-by-step explanation:
The total surface area of a cone is given by its curved surface area plus its base.
The base area would be
[tex]\pi {r}^{2} [/tex]
so the base area is 25pi cm^2.
The curved surface area is given by
[tex]\pi rl[/tex]
which is pi times 5 times 9 i.e. 45pi cm^2.
The total surface area would therefore be 70pi cm^2, by adding them up together.
Related Questions
The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 other employees of Company B. The eight people line up in a random order to take a photo. Every way of lining up the people is equally likely.
(a) What is the probability that the general manager is next to the vice president?
(b) What is the probability that the marketing director is in the leftmost position?
(c) Determine whether the two events are independent. Prove your answer by showing that one of the conditions for independence is either true or false.
Answers
Solution :
Let the three places be 1, 2, 3, 4, 5, 6, 7, 8
a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2
= 14
[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]
Therefore the required probability is
[tex]$=\frac{14}{8!}$[/tex]
= [tex]$\frac{14}{40320} = 0.000347$[/tex]
b). The probability that the marketing director to be placed in the leftmost position is
[tex]$=\frac{7!}{8!}$[/tex]
[tex]$=\frac{1}{8} = 0.125$[/tex]
c). The two events are not independent because
[tex]$P(A \cap B) \neq P(A) \times P(B)$[/tex]
[tex]$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$[/tex]
where A is the case a and B is the case b.
(a) The possibility of the general manager is next to the vice president is [tex]\frac{1}{4}[/tex].
(b) The possibility of the marketing director is in the leftmost position is [tex]\frac{1}{8}[/tex].
(c) So, the two events are dependent on each other.
Probability:
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it. The probability of all the events in a sample space adds up to 1.
Total people in company A and company B is [tex]=8[/tex]
Overall ways in which these [tex]8[/tex] people can be lined up[tex]=8![/tex]
[tex]=40320[/tex]
(a) The probability that the general manager is next to the vice president is[tex]=P(A)[/tex]
Now, we can combine the general manager and vice president as one, then the total people in both the company will become [tex]7[/tex].
by arranging these [tex]7[/tex] people in one line [tex]=7![/tex]
[tex]=5040[/tex]
Again, combine the general manager and vice president in one line[tex]=2![/tex]
[tex]=2[/tex]
Therefore, [tex]P(A)=\frac{5040\times 2}{40320}[/tex]
[tex]=\frac{10080}{40320}[/tex]
[tex]P(A)=\frac{1}{4}[/tex]
(b) The probability that the marketing director is in the leftmost position is[tex]=P(B)[/tex]
Now, fixing the position of marketing director in the leftmost.
arranging the [tex]7[/tex] other people in [tex]7![/tex] ways [tex]=5040[/tex]
Therefore,[tex]P(B)=\frac{5040}{40320}[/tex]
[tex]=\frac{1}{8}[/tex]
[tex]P(B)=\frac{1}{8}[/tex]
(c) Assuming event B already occurred which means that the position of marketing director is already fixed in the leftmost position.
Now, trying to find out the probability of the general manager next to the vice president is event A. it comes different because we are not allowed to arrange rest [tex]7[/tex] people, we have to fix the position of one person that causes the repetition of probability.
So, the two events are dependent on each other.
Learn more about the topic of Probability: https://brainly.com/question/26959834
Han checks with another bank and their interest rate is 4%. Based on your answer in question 4, how much longer will he have to leave his money in the account to earn the same amount of interest as the first bank?
Answers
Answer:
Does Anyone Know how to do this?
Step-by-step explanation:
I need help quick please!!!!
Answers
Answer:
1 is false
2 is blueprints
Step-by-step explanation:
Tires regularly priced at $44 each are on sale for $37. How much would a truck owner save by buying four tires at the sale price?
A. $7
B. $28
C. $49
D. $81
Answers
Answer:
B
Step-by-step explanation:
the truck owner saves 7$ from every tires by buying at the selling price.
You randomly draw one card from a standard deck of 52 playing cards. What are the odds that it is a diamond?
Answers
You start a bank account with $50. Each week after that, you deposit $12. How many weeks will it take to have
$230 in the account?
A. 15
B. 8
C. 24.3
D. 10
Answers
Answer:
15 (A)
A is the legit answer.
The area of a rectangular skate park is 6/11 square miles. The length of the
skate park is 3/5 mile. What is the width, in miles, of the park?*
Answers
Answer:
The answer to your question is 150 ft
Process
1.- Find the area of the city skate park
2.- Find the equation of the area of the new city skate park.
3.- Find the value of "x",
1.- Area = length x width
Area = 100 x 50
= 5000 ft²
2.- (100 + x) /50 + x) = 15000
x² + 150x + 5000 = 15000
x² + 150x + 5000 - 15000 = 0
x² + 150x - 10000 = 0
Factor the equation
(x + 200)(x - 50) = 0
x₁ = -200 x₂ = 50 Length can not be negative so the answer is
50.
New length = 100 + 50 = 150 ft
In December, a toy store sold 934934 puzzles. Each puzzle cost \$6$6, including tax. What was the total cost of the puzzles sold, including tax?
Answers
Answer:
5609604 OR 11219200
Step-by-step explanation:
i dont know if its 6 plus 6 dollars like 12 or just 6 so yeah
pplllllllllllllllsss help 1)
Answers
PRE CALC HELP!!! 100 PTS AND BRAINLIEST
(the one I chose isn't correct I just accidentally pressed it)
Answers
Hello!
[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]
To begin, we can solve the inequality:
sin(x) > cos(x)
Divide both sides by cos(x):
sin(x) / cos(x) > 1
tan(x) > 1
x > π/4
However, we can also solve it the other way to produce the end to the interval:
sin(x) > cos(x)
1 > cot(x)
x < 5π/4
Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.
Answer:
π/4 < x < 5π/4.
Find the domain and range of: {(-2,0), (-1,1), (0,2),(1,3)}
Answers
Answer: domain: {-2, -1, 0, 1}
range: {0, 1, 2, 3}
Jayda has a vegetable garden. 2/3 of the garden is made up of tomato plants. 4/5 of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beef steak tomatoes?
Answers
Answer:
8/15 of Jayda's vegetable garden are beefsteak tomatoes.
Step-by-step explanation:
Since Jayda has a vegetable garden, of which 2/3 are tomato plants, and of these tomato plants 4/5 are beefsteak tomatoes, to determine the portion of the garden that is made up of beefsteak tomatoes the following must be done mathematical reasoning:
The common least multiple of 3 and 5 is 15, so 2/3 can be re-categorized as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be re-categorized as 8/10.
Therefore, 8/15 of Jayda's vegetable garden are beefsteak tomatoes.
if you roll a pair of dice, what is the probability that both are 3's or that the sum is more than 8
Answers
Answer:
11/36
Step-by-step explanation:
We have 36 possible outcomes when rolling a pair of dice.
Only 1 outcome gets both 3's. (3 3)
For the sum to be greater than 8, there are 10 outcomes.
(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)
The probability is therefore (1+10)/36=11/36.
Drag the numbers to create three ratios that are equivalent to 4:12.
Each number may be used once or not at all.
Answers
Answer:
20:60 12:36 2:6
Step-by-step explanation:
The second number is going to be 3 times as big as the first ine
Choose the equation that represents the graph below:
A) Y= -2x-6
B) Y= 2/3x+6
C) Y= -2/3x+6
D) Y= 2x+6
Answers
Answer: C
Step-by-step explanation:
The slope is
[tex]\frac{2-6}{6-0}=-\frac{2}{3}[/tex]
This eliminates all the options except for C.
I will give brainiest to whoever answers correctly !!
Answers
Allen traveled 6 kilometers in 2 hours How many hours does it take Alan to travel 1 kilometer?
Answers
Answer:
1/3
Step-by-step explanation:
6x=2
x= 1/3
Answer:
1 kilo takes 20 minutes
Step-by-step explanation:
6kilo in 2hrs
3kilo in 1 hr
1hr = 60min
3kilo/3 = 1 kilo
60min/ 3 = 20 min
1 kilo * 6 = 6kilo
20min * 6 = 120min ( 2 hours )
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
ST = 8 m
Step-by-step explanation:
Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.
PQ corresponds to ST.
Therefore, PQ is congruent to corresponding side ST, which is 8 m
ST = 8 m
Where do the lines y = 3x + 5 and y = -2x + 10 intersect?
Answers
9514 1404 393
Answer:
(x, y) = (1, 8)
Step-by-step explanation:
A graphing calculator quickly tells you the point of intersection.
__
You can equate the y-values and solve for x.
3x +5 = -2x +10
5x = 5 . . . . . . . . . add 2x-5
x = 1 . . . . . . . divide by 5
3·1 +5 = y = 8 . . . . substitute for x in the first equation
The point of intersection is (x, y) = (1, 8).
If 0 = 35, then solve for X.
Х
9
Round to the nearest hundredth.
Answers
Answer:
x = 15.69
Step-by-step explanation:
Reference angle = 35°
Opposite side to reference angle = 9
hypotenuse = x
Find x using trigonometric ratio.
Thus,
Sin 35 = 9/x
Multiply both sides by x
x*sin 35 = 9
Divide both sides by sin 35
x = 9/sin 35
x = 15.69 (nearest hundredth)
A scuba diver dove from the surface of the ocean to an elevation of -499 feet at a rate of –10.5 feet per
10
9
minute. After spending 13 minutes at that elevation, the diver ascended to an elevation of -28 feet.
10
1
The total time for the dive so far was 20 minutes. What was the rate of change in the diver's elevation
8
during the ascent? Round your answer to the nearest hundredth.
Answers
Which of the following graphs best represents y=(x+1)(x-4)
Answers
What is 2+2 I’m during to know...
Answers
Answer: 4
Step-by-step explanation: Good luck! :D
Answer:
4
Step-by-step explanation:
Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work
Answers
Answer:
Not equivalent.
Step-by-step explanation:
The given equations are :
7v-3/2=5 ....(1)
14v-3=15 ....(2)
Taking equation (1) first,
7v-3/2=5
Adding 3/2 to both the sides.
7v-3/2+3/2=5+3/2
7v = 6.5
v = 0.928
Taking equation (2).
14v-3=15
Adding 3 to both sides.
14v-3+3=15+3
14v=18
v = 1.285
So, the values of v in both equations ar not the same. It means two equations are not equivalent.
Please help at least one Number it please!!!!
Answers
unit rate for $112 in 8 hours
Answers
Answer:
$14 per hour could i get brainliest please?
Step-by-step explanation:
Answer:
$14 per hour
Step-by-step explanation:
112 divided by 8 is 14. So $14 per hour
Which of the following is equivalent to (16^3/2)^1/2
1.6
2.8
3.12
14.64
Answers
Answer:
8
Step-by-step explanation:
Hope this is helpful!
Hope this helps buddy
Cuanto 5 entre 6'658
Answers
................
You decide to get an estimate on the cost of repairs for the green food truck
The mechanic explains that the cost of the repairs comes out to be about
$9,500. This price includes the cost of labor and the cost of the parts needed
to do the repairs. If labor costs are 3/5 the cost of the parts, how much
would you save by doing the repairs yourself and just purchasing the parts?
Answers
Answer:
$3562.50
Step-by-step explanation:
If the cost ratio is ...
labor : parts = 3/5 : 1 = 3 : 5
then the ratio of labor to the whole cost is ...
labor : total = 3 : (3+5) = 3 : 8
The amount saved by not paying for labor is ...
(3/8) × $9500 = $3562.50 . . . labor charge
I will give brainiest to whoever answers correctly !!
Answers
Answer:
A = $2937.5
Step-by-step explanation:
Given the following data;
Total gifts and scholarships = $900 + $250 + $300 + $1400 = $2850
Therefore, Principal = $2850
Time in years = 36 months/ 12 months = 3 years
Interest = 1% = 1/100 = 0.01
n = 360
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.Substituting into the equation, we have;
[tex] A = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]
[tex] A = 2850(1 + 0.000028)^{1080}[/tex]
[tex] A = 2850(1.000028)^{1080}[/tex]
[tex] A = 2850(1.0307)[/tex]
A = $2937.5
Therefore, the graduate will have $2937.5 when he cashes in the CD.