Find the surfacs area of a cone wirh a slant height of 18in and a radius of 7in

Answers

Answer 1
Answer: Formula of the surface area of a cone is:
S.A = Area of base + (1)/(2) × Perimeter of base × height of prism

S.A = \pir² + \pirl
       = \pi(7)² + \pi(7)(18)
       = 49\pi + 126\pi
       = 175\pi in² (in terms of \pi)
       = 549.7787 in²
       ≈ 550 in²

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Tiffany pays 40$ for 160 minutes of talk time on her cell phone.How many minutes of talk time does she get per dollar?

Answers

To find how many minutes of talk time is available per dolla, you have to divide 160 (number of minutes) by 40 (cost)160/40 = 4Therefore, it's 4 minutes per dollar

Amy is 5 years younger than Selina. if Selinas age can be represented by x, write an expression representing Amys age A) 5x
B) 5-x
C) x-5
D) x+5

Answers

Answer:

Option (d) is correct.

Selina's age is written as x + 5

Step-by-step explanation:

  Given : Amy is 5 years younger than Selina. if Selina's age can be represented by x,

We have to write an expression representing Amy's age.

Since, x represent the Selina's age.

and also Amy is 5 years younger than Selina

that is Amy is 5 years smaller than Selina

So Selina is 5 year older than Amy

So, Selina's age is written as x + 5

The answer is C) x-5 because you would have to subtract 5 from Selina's height to get to Amy's height.

How many different combinations are there of the digits 46987?

Answers

Answer:

1,00000,00,00

Step-by-step explanation:

The digits 46987 can be arranged in 120 unique combinations using the permutation formula 5! (5 factorial), accounting for all possible orders of these digits.

While organizing the digits 46987, there are 120 unmistakable mixes conceivable. Still up in the air by ascertaining the factorial of the quantity of digits (5!), yielding 120. Every game plan brings about a remarkable mix. For instance, 46987, 78694, and 98746 are among the changed stages.

The idea of changes has expansive applications, going from arithmetic to software engineering, where request matters. In combinatorics, the investigation of counting and game plan, changes assume an essential part. These 120 mixes grandstand the adaptability of revamping only five digits.

Showing the dramatic development in potential outcomes as the quantity of digits increments. This numerical standard impacts fields like cryptography, where producing one of a kind successions is significant for security. Generally, the changes of 46987 outline the charming and strong parts of numerical control and request.

To learn more about Combinations, refer:

brainly.com/question/18820941

1. What is the least common multiple of both 9 and 12?2. What is the greatest common factor of both 9 and 12?
Need answers to both of them please label them Please!!!!!!

Answers

1. the least common multiple of 9 and 12.
  9 18 27 36
  12 24 36
  36
2. GCF of 9 and 12
  1 3 9
  1 2 3 4 6 12
  3

What is the answer to this 8⁄10 – 1⁄5

Answers

1/80 = 0.0125
1/5 = 0.2

0.0125-0.2 = -0.1875
-0.1875 = -3/16

A horse corral is situated on a triangular plot of land. Two sides of the plot are 150 feet long and they meet at an angle of 55°. A fence is to be placed along the perimeter of the corral. How much fencing material is needed?a. 125 ft
b. 138.5 ft
c. 288.5 ft
d. 438.5 ft

Answers

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125

B and C are equal so we divide 125 by 2

angle B = 62.5 and angle C = 62.5

Now we apply sin law

(sin A)/(a) = (sin B)/(b)

(sin 55)/(a) = (sin 62.5)/(150)

150 * sin(55) = sin(62.5) * a

122.8728066 = sin(62.5) * a

a = ( 122.8728066)/(sin(62.5))

a= 138.52 feet

To find perimeter we add all the sides

150 + 150 + 138.52 = 438.52 feet