Yes this is correct using equaivslent angles formula in order to do
Answer:
a = 
Step-by-step explanation:
Using the rule of exponents
×
=
, then
x ×
=
=
=
, so
= 
Since the bases on both sides are x, then equate the exponents.
a = 
Answer:

Step-by-step explanation:
Let the probability that he gets the correct answer be m.
If he gets the answer, then either he knows it (a probability of p) or he does not know it but guesses correctly (r × 1/2). Therefore,

Let the probability that he gets the incorrect answer be n. Then, by being complementary events

This is a binomial or Bernoulli distribution since he gets the answer either correctly or incorrectly. The probability of at least 19 correct answers out of 20 is the sum of the probabilities of 19 or 20 correct answers.





Your answer would be 0.87 as a decimal and 87/100 as a fraction.
To find these we need to find out how many little squares there are in total, and then how many shaded squares there are.
The shape is 10 squares by 10 squares, which means in total there are 10 × 10 = 100 squares in the whole shape.
To find the number of shaded squares we can count how many aren't shaded and subtract this from 100, and by doing this we get that there are 13 unshaded squares. 100 - 13 = 87 squares.
To convert this into a fraction, we can write it as
, which we know is 87/100, which can't be simplified any further.
To convert this into a decimal, we can simply do the division 87 ÷ 100 (which is what the fraction represents), and this gives us 0.87
I hope this helps! Let me know if you have any questions :)
Answer:40
Step-by-step explanation: 12 divided by 3