Answer:
C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.
Step-by-step explanation:
On which triangle can the law of cosines be applied once to find an unknown angle measure?
The Law of cosines is given as:
a² = b² + c² - 2bccos(A)
From the options given above, the correct option is Option C
C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.
This is because:
Law of Cosines helps us to find an unknown side of a triangle when we are given 2 known sides and 1 angle.
In the above question, we are given angle 76 degree, and the length of two sides: The length of X Y is 5, the length of W Y is 10
The unknown side is the length of W X which is represented as y.
Hence, Option C is the correct option.
Short Answer: 18 minutes
Remark
The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.
Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1
S = 45 minutes
M = 30 minutes
Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour
Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work
job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t
Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2
1.3333 + 2 = 3.33333
3.3333 = 1 / t Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour
1 hour = 60 minutes
0.3 hours = x Cross Multiply
x = 60 * 0.3
x = 18 minutes
Answer working together it took them 18 minutes <<<<<
The puppy weighs 15.4 pounds, 40% of 11 is 4.4 so add that to the wight and its 15.4
Answer:
Fast ball challenge
Step-by-step explanation:
Given
Slow Ball Challenge
Fast Ball Challenge
Required
Which should he choose?
To do this, we simply calculate the expected earnings of both.
Considering the slow ball challenge
First, we calculate the binomial probability that he hits all 7 pitches
Where
--- pitches
--- all hits
--- probability of hit
So, we have:
Using a calculator:
--- This is the probability that he wins
i.e.
The probability that he lose is:
---- Complement rule
The expected value is then calculated as:
Using a calculator, we have:
Considering the fast ball challenge
First, we calculate the binomial probability that he hits all 3 pitches
Where
--- pitches
--- all hits
--- probability of hit
So, we have:
Using a calculator:
--- This is the probability that he wins
i.e.
The probability that he lose is:
---- Complement rule
The expected value is then calculated as:
Using a calculator, we have:
So, we have:
-- Slow ball
--- Fast ball
<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>
Answer:
0
Step-by-step explanation:
the answer is 0
because it neither rises nor fall
