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tamaranim1 [39]
3 years ago
8

If a person draws a playing card and checks its suit and then spins a three-space spinner, describe the sample space of possible

outcomes using C, D H, S for the card outcomes and 1, 2, 3 for the spinner outcomes.
The sample space is S = {C, D, H, S, 1, 2, 3,} Use comma to separate answers.
Mathematics
1 answer:
3241004551 [841]3 years ago
5 0

Answer:

,,

Step-by-step explanation:

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Find all the missing elements. NEED HELP PLZZZZ
IgorC [24]

Answer:

  • B=42°
  • C=98°
  • c=10.7 units

Step-by-step explanation:

Given

  • Angle A = Ф = 40°
  • a=8
  • b=7

We know that trigonometric ratio as

  • sin Ф = opposite/hypotenuse
  • cos Ф = adjacent/hypotenuse
  • tan Ф = opposite/adjacent

as

sin A = sin 40 = opposite/hypotenuse

From the diagram, it is clear that the opposite of angle A is a=8 and the hypotenuse is 'c'.

also the angle

sin A = sin 40 = opposite/hypotenuse = a/c = 8/c

sin 40 = 8/c

c = 8/sin 40

c = 8/0.745

c = 10.7

so the value of c will be: 10.7 units

so

tan B = opposite/adjacent

         = b/a

         = 0.9

B=\tan ^{-1}\left(0.9\right)

   =42^{\circ \:}

Therefore, the value of B = 42^{\circ \:}

As the sum of the angles of triangle ABC is 180.

i.e.

A+B+C = 180

(40)° + (42)° + C = 180°

C = 180° - 40° - 42°

  = 98°

Therefore, the value of C = 98°

Hence,

  • B=42°
  • C=98°
  • c=10.7 units
7 0
3 years ago
I need help!!! please and thank you
RUDIKE [14]

Answer:

the height................

7 0
3 years ago
If a fire is burning a building and it takes 2 hours to put it out using 2000 gal./min., what minimum diameter cylindrical tank
strojnjashka [21]

Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water (Q), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

Q = \dot Q \cdot \Delta t (1)

Where:

\dot Q - Volume rate, measured in feet per minute.

\Delta t - Time, measured in minutes.

If we know that \dot Q = 2000\,\frac{gal}{min} and \Delta t = 120\,min, then the amount of water is:

Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)

Q = 32160\,ft^{3}

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

Q = \frac{\pi}{4}\cdot D^{2}\cdot h (2)

Where:

D - Diameter, measured in feet.

h - Height, measured in feet.

If we know that Q = 32160\,ft^{3} and h = 12\,ft, then the minimum diameter is:

D^{2} = \frac{4\cdot Q}{\pi\cdot h}

D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }

D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }

D \approx 58.415\,ft

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

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X square + 1x + 4x + 4
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(X+1)(x+4)
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