Find the volume of a cone with a radius of 8 cm and height 15 cm? Round to the nearest tenth. *

Answer:

1. x = 15, y = 8

2. m∠MSN = 90°

3. x = 20

4. y = 9

5. x = 8, m∠PQS = 24, m∠SQR = 66

6. y = 15, m∠RPT = 55, m∠TPW = 35

Step-by-step explanation:

1. to solve for y

9y + 18 = 90

9y + 18 - 18 = 90 - 18

9y = 72

9y/9 = 72/9

y = 8

to solve for x

5x + x = 90

6x = 90

6x/6 = 90/6

x = 15

2. m∠MSN = 90°, because ∠MSN is a right angle, which is equal to 90

3. To find x

3x + 10 + x = 90

3x + x = 4x

4x + 10 = 90

4x + 10 - 10 = 90 - 10

4x = 80

4x/4 = 80/4

x = 20

4. To find y

7y - 3 + 3y + 3 = 90

7y + 3y = 10

-3 + 3 = 0

10y = 90

10y/10 = 90/10

y = 9

5. To find x

3x + 8x + 2 = 90

3x + 8x = 11x

11x + 2 = 90

11x + 2 - 2 = 90 -2

11x = 88

11x/11 = 88/11

x = 8

To find ∠PQS

∠PQS = 3x

x = 8

so 3(x) = 3(8)

3(8) = 24

so ∠PQS = 24

To find ∠SQR

∠SQR = 8x + 2

x = 8

so ∠SQR = 8(x) + 2 = 8(8) + 2

8(8) + 2

= 64 + 2

= 66

6. To find y

4y - 5 + 2y + 5 = 90

4y + 2y = 6y

-5 + 5 = 0

6y = 90

6y/6 = 90/6

y = 15

To find ∠RPT

∠RPT = 4y - 5

y = 15

so ∠RPT = 4y - 5 = 4(15) - 5

4(15) - 5

= 60 - 5

= 55

To find ∠TPW

∠TPW = 2y + 5

y = 15

so ∠TPW = 2y + 5 = 2(15) + 5

2(15) + 5

= 30 + 5

= 35

Probability of any event = ( favourable outcomes ) /total number of outcomes

Probability of = 3/10 + 2/9 =

Answer:

x = 55° (nearest degree)

Step-by-step explanation:

Trig ratios:

where is the angle, O is the side opposite the angle, A is the side adjacent to the angle, and H is the hypotenuse of a right triangle

Given:

• 
• A = 3.3
• H = 5.7

⇒ x = 55° (nearest degree)