find the lateral area and surface area of a right cone with radius 6 in. and height 8 in. give your answers in terms of pie

Answers

Answer 1

Answer: $r=6in\n\nH=8in\n\nA=\pi rl\n\nPythagoras\ theorem:\n\nr^2+H^2=l^2\n\nl^2=6^2+8^2\n\nl^2=36+64\n\nl^2=100\n\nl=√(100)\n\nl=10\ (in)$

$A=\pi\cdot6\cdot10=60\pi\ (in^2)$

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Explain why the equation 2(3x - 5) = 6x + 8 has no solutions.

Answers

Answer:

Look at step-by-step solution

Step-by-step explanation:

2(3x-5)=6x+8

First start by dividing two from the left side:

3x-5=3x+4

From there add five and subtracted 3x from both sides:

0=9

Since zero does not equal nine, there is no solution.

Answer:

- 5 does not equal 8

Step-by-step explanation:

Distribute the 2 to get 6x - 5 = 6x +8

6x - 5 = 6x + 8

subtract 6x on both sides you are left with -5 = 8 which is not a true statment.

Since the equation leads to a statment that isn't true, there is no solution.

You went out for dinner with your family. The bill was $160 and your family left a20% tip. How much was the tip? How much was the total?

Answers

Answer:192$

Step-by-step explanation:

Answer:

$32

Step-by-step explanation:

$160 x 20% = $32

Three pirates named Ahab, Sparrow, and Davy play a game. The pirates have a total of 210 coins, and each pirate has a different number of coins. At the end of the game, Ahab has won 5 coins and Davy has won 7 coins. Now, the ratio of coins belonging to Ahab, Sparrow, and Davy is 4:5:6, respectively. How many coins did Sparrow have at the beginning of the game?

Answers

Sparrow has 92 coins, in the starting.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Total number of coins in game = 210.

And the ratio of coins belongs to Ahab, Sparrow and Davy = 4 : 5 : 6

Let the multiplying factor in ration is x

The number of coins to Ahab = 4x

Number of coins belongs to Sparrow = 5x

And number of coins belong to Davy = 6x

Since, total number of coins = 210

4x + 5x + 6x = 210

15x = 210

x = 16

Number of coins that Sparrow has = 5 x = 5 (16) = 80

At the end Ahab and Davy wins 5 and 7 coins respectively

So at the starting coins that Sparrow has = 80 + 7 + 5 = 92

The required coins that Sparrow has at the beginning is 92.

To learn more about Ratio on :

brainly.com/question/13419413

#SPJ2

Step-by-step explanation:

at the end of game, sparrow has $(5)/(4+5+6) * 210=70$ coins. since he loss 5+7=12 coins, then at the beginning he has 70+12=82 coins

What is the height of this cone?

Answers

Answer:

height is = 3/2 ft

Step-by-step explanation:

a cones volume can be represented by 1/3(h)(pi)(r^2)

we must go backwards to find this question out

if the diameter is 2/3 then the radius is 1/3

then you must square that

that is 1/3 * 1/3 which is 1/9

1/9(1/3)(pi)(h) is 1/18(pi)

we can remove pi from both sides and multiply the 1/9 and the 1/3

1/27(h) = 1/18

we must find the lcm or least common multiple to figure this out

the lcm is 54

1/27 is essentially 2/54 and 1/18 is 3/54

2/54(h) = 3/54

we can multiply each side by 54

2h = 3

divide 2 on both sides

h is 3/2

6. John took Ms. Wisth out for sushi and is NOT a cheapskate. Their total sushi bill was $75.68. Johnwanted to leave a 27% tip. How much money did John tip the waiter?

Answers

I think the answer would be $9.46 left as a tip for the waiter.

Answer:

$20.43 is how much tip was

Step-by-step explanation:

27% >>> .27

.27 * 75.68 = 20.43 tip

Bonus: $96.11 is the all out total

When the sum of a number plus 3 is squared, it is 9 more than the sum of the number plus 2 when squared.

Answers

$(x+3)^2=(x+2)^2+9\n x^2+6x+9=x^2+4x+4+9\n 2x=4\n x=2$

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