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Katena32 [7]
3 years ago
8

Find the lateral and surface area of each cone

Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

\large\boxed{L.A.=153\pi\ mm^2}\\\boxed{S.A.234\pi\ mm^2}

Step-by-step explanation:

The formula of a lateral area of a cone:

L.A.=\pi rl

r - radius

l - slant height

The formula of a surface area of a cone:

S.A.=\pi r^2+\pi rl

We have r= 9mm and l = 17mm. Substitute:

L.A.=\pi(9)(17)=153\pi\ mm^2

S.A.=\pi(9^2)+153\pi=81\pi+153\pi=234\pi\ mm^2

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If you wanted a 40 foot tree in your yard, how much faster would a poplar, which grows 8 feet per year, reach that goal than a r
Verizon [17]

Answer:

Not totally sure if i'm reading the question right buuuut;

the answer is (I think) a poplar would reach 40 feet high in 5 years, while the red maple would reach the goal in 8.

Step-by-step explanation:

using division, 40/8 = 5 years

40/ 5 = 8 years.

like I said, not positive I read the question correctly but I hope this helps xx have a nice day :)

5 0
3 years ago
The description below represents Function A and the table represents Function B: Function A The function is 2 more than 5 times
Vlad [161]

Answer:

The slope of Function A is greater than the slope of function B  while the y-intercept of Function  B is greater than the y-intercept of function A.

Step-by-step explanation:

Function A is f(x) = 5x + 2

The slope is 5 and the y-intercept is (0, 2).

Function B. The slope is  (5-2) / (0- -1) = 3.

also (8-5) / (1 - 0) = 3

The slope is 3.

The y-intercept is at (0, 5) because one point on the graph is (0, 5).

7 0
3 years ago
34​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
finlep [7]

Answer:

a) There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

b) There is a 71.62% probability that more than two students use credit cards because of the rewards program.

c) There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

Step-by-step explanation:

There are only two possible outcomes. Either the student use credit cards because of the rewards program, or they use for other reason. So, we can solve this problem by the binomial distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem, we have that:

10 student are sampled, so n = 10

34% of college students say they use credit cards because of the rewards program, so \pi = 0.34

(a) exactly​ two

This is P(X = 2).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

(b) more than​ two

This is P(X > 2).

Either a value is larger than two, or it is smaller of equal. The sum of the decimal probabilities must be 1. So:

P(X \leq 2) + P(X > 2) = 1

P(X > 2) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

So

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{10,0}.(0.34)^{0}.(0.66)^{10} = 0.0157

P(X = 1) = C_{10,1}.(0.34)^{1}.(0.66)^{9} = 0.0808

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0157 + 0.0808 + 0.1873 = 0.2838

P(X > 2) = 1 - P(X \leq 2) = 1 - 0.2838 = 0.7162

There is a 71.62% probability that more than two students use credit cards because of the rewards program.

(c) between two and five inclusive

This is:

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X = 3) = C_{10,3}.(0.34)^{3}.(0.66)^{7} = 0.2573

P(X = 4) = C_{10,4}.(0.34)^{4}.(0.66)^{6} = 0.2320

P(X = 5) = C_{10,5}.(0.34)^{5}.(0.66)^{5} = 0.1434

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1873 + 0.2573 + 0.2320 + 0.1434 = 0.82

There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

6 0
3 years ago
DOES ANYONE KNOW WHAT TO DO HELP QUICKKKKK
Hoochie [10]

Answer:

First Question = 16 Second Question = 8

Step-by-step explanation:

First one

32+48=x(2+3)

80=5x

Divide each sides with 5 and you have x=16

Second one

32+48=4(x+12)

80=4x+48

subtract 48 from 48 and 80 and you have 32=4x.

Divide it with 4 both side and you have x=8

6 0
3 years ago
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Andrews [41]
Played total n games, and lostcexactly 4:
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