Answer:
Hence x = y = 2
Step-by-step explanation:
Using the SOH CAH TOA identity
Hypotenuse = 2√2
Opposite = x
theta = 45
Sin theta = opp/hyp
Sin 45 =x/2√2
1/√2 = x/2√2
x = 2√2 * 1/√2
x = 2
To get y we will use the pythagoras theorem;
(2√2)² = x² +y²
(2√2)² = 2²+y²
8 = 4 + y²
y² = 8-4
y² = 4
y = √4
y = 2
Hence x = y = 2
Answer:
333 meters per second
Step-by-step explanation:
Answer:
there are two solutions:
a)
, and
b) 
Step-by-step explanation:
In the equation:
, since a perfect square with the unknown "y" is isolated on the left of the equal sign, we start by applying the square root on both sides of the equality, and then on isolating the unknown:

Therefore there are two solutions:
a)
, and
b) 
59/12 if you want to simplify more 4 11/12
Answer:
The overall score is 75.6
Letter grade is C
Step-by-step explanation:
The question has missing details (See comment section for complete question).
From the complete question, we have:
<u>Proportion:</u>




Scores




Solving (a): The overall score
To do this, we simply calculate the mean of the given data.
The mean is calculated by multiplying each proportion by the scores..
So, we have:



Solving (b): The letter grade
From the question, we have:



The overall score falls in the following category:

Because:

<em>Hence, the letter grade is C</em>