Answer: Approximately d = 208.72
============================================================
Work Shown:
Make sure your calculator is in radian mode
A quick way to check is to compute cos(pi) and you should get -1
cos(angle) = adjacent/hypotenuse
cos(x) = 200/d
cos(0.29) = 200/d
d*cos(0.29) = 200
d = 200/cos(0.29)
d = 208.715135166392 which is approximate
d = 208.72
I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.
Answer:
2.6666666e+32
Step-by-step explanation:
1.add
2.multiply
3. you have your answer
Answer:
- The numbers are 8 and 10.
Step-by-step explanation:
Let the numbers be x and y.
The sum of two numbers is eighteen:
The total of three times the smaller and twice the larger is forty-four:
Solve the system by substitution:
Substitute x and solve for y:
- 3(18 - y) + 2y = 44
- 54- 3y + 2y = 44
- 54 - y = 44
- y = 54 - 44
- y = 10
Find x:
Answer:
25%
Step-by-step explanation:
This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:
P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15
There is a 60% chance of rain on Saturday, mean the equation is
P(X = true) = 0.6
The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:
P(X = true) * P(Y = true)= 0.15
0.6* P(Y = true)= 0.15
P(Y = true)= 0.15/0.6
P(Y = true)= 0.25 = 25%