Okay so CBE is a right angle which equals 90 degrees. CBD and DBE makes up CBE which is 23 degrees is part of CBD. So subtract CBE from CBD to get DBE which is 67 degrees.

8 0

4 years ago

How many ways are there for six dogs and four cats to sit in a row in a strawberry field so that no two cats sit next to each ot

pickupchik [31]

Answer: 5,760

Step-by-step explanation:

$\\$ It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs. $\\$ Let D represent the dogs and C represent the Cat , then we have

$\\$ D C D C D C D C D D or

$\\$ D D C D C D C D C D or

$\\$ D C DD C D C D C D or

$\\$ D C D C D D C D C D or

$\\$ D C D C D C DD C D

$\\$ Each of the arrangements above could be done in

$\\$ 2 x 4! x 4! ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )

$\\$ = 2 x 24 x 24

$\\$ = 1 , 152

$\\$ The total arrangement = 5 x 1 , 152

$\\$ = 5,7 60 ways

3 0

3 years ago

The probability that an archer hits a target when he shoots an arrow is 0.7. The archer shoots two

Sholpan [36]

Answer:

The tree diagram is shown in the tree diagram is shown.

If the probability to hit is 0.7, then the probability to miss is 0.3.

P(hit, hit) = 0.7*0.7 = 0.49

P(hit, miss) = 0.7*0.3 = 0.21

P(miss, hit) = 0.3*0.7 = 0.21

P(miss, miss) = 0.3*0.3 = 0.09

6 0

4 years ago