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3 years ago

Practice Writing Trig Ratios

Mathematics

1 answer:

Ierofanga [76]3 years ago

4 0

Answer:

13.) tanC=40/30

14.) tanA=21/20

15.) tanC=12/35

16.) tanX=30/40

17.) sinZ=12/37

18.) sinZ=30/50

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In AWXY, WY is extended through point Y to point Z, m_YW X = (2x + 12),

Alja [10]

Answer:

Sum of two interior angles=exterior angle

$\\ \sf\longmapsto 2x+12+2x+5=7x-1$

$\\ \sf\longmapsto 4x+17=7x-1$

$\\ \sf\longmapsto 3x=18$

$\\ \sf\longmapsto x=6$

Done!

4 0

3 years ago

g On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any

Ksju [112]

Answer:

0.249579

Step-by-step explanation:

P(rain) = 0.3

P(no rain) = 1 - 0.3 = 0.7

The event of rain falling a second time within the next 5 days is possible in these ways

1. Rain on days 1 and 2

2. Rain on days 1 and 3; none on day 2

3. Rain on days 1 and 4; none on days 2 and 3

4. Rain on days 1 and 5; none on days 2, 3 and 4

5. Rain on days 1 and 6; none on day 2, 3, 4 and 5

$P(\text{second rain within 5 days}) = 0.3^2+0.3^2\times0.7+0.3^2\times0.7^2+0.3^2\times0.7^3+0.3^2\times0.7^4 = 0.3^2(1+0.7+0.7^2+0.7^3+0.7^4)= 0.09\times2.7731=0.249579$

5 0

4 years ago

Eight people attend the theater "together and sit in a row with exactly eight seats. Suppose the eight people consist of three m

Nata [24]

Answer:

They can be seated in 120 differents ways.

Step-by-step explanation:

Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)

It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:

5 * 4 * 3 * 2 * 1 = 120

1st place 2nd Place 3rd place 4th Place 5th Place

Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.

Finally, they can be seated in 120 differents ways.

8 0

3 years ago

Help Help Help me out with this, please

mezya [45]

the volume of cuboid is given by length*breadth*height

the volume of above cuboid is 6*12*125=864cubic in.

volume of below cuboid is 18*10*8=1440 cubic in.

totoal volume = 1440+864l=2304 cubic in.

4 0

3 years ago

Miranda wants to go to her school's Prom night.A ticket costs $110. She has $50 saved, however, to earn the rest she is going to

Alex73 [517]

Answer:

110=50+7(x)

Step-by-step explanation:

6 0

3 years ago