Her score in computer to get a proportionally weighted average of 46% will be 134.
The total score for both subjects = 200 + 300 = 500
Since the proportionally weighted average is 46%, then her score will be:
= 46% × 500
= 0.46 × 500
= 230
Since she had 32% for her statistics test, which was out of a total of 300. Her score will be:
= 32% × 300
= 0.32 × 300
= 96
Therefore, her score in computer will be:
= 230 - 96
= 134
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The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2
Given that the softball diamond is square in shape.
Let the side of the square i.e. distance between consecutive bases is x
The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.
Using the Pythagorean theorem we have:
x² +x²= c²,
where c is the distance from the 1st base to the 3rd base.
Combining similar terms gives us
2x²=c²
Taking the square root of both sides we have
√2x²= √c²
⇒x√2=c
⇒c=x√2
This is the expression for the distance from the 1st base to the 3rd base in terms of side length.
Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.
Learn more about the Pythagorean theorem
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Answer:
9
Step-by-step explanation:
You gave the answer right in your question
If you would like to know how many hours did Eric practice the piano this week, you can calculate this using the following steps:
the piano: 3/4 of 8 hours = 3/4 * 8 hours = 6 hours
The correct result would be 6 hours.
Answer:
x = -3
y = -1
Step-by-step explanation:
in the given question :-
=》x - 4y = 1
=》x = 4y + 1
now replacing the value of x as ( 4y + 1 ) in equation (2)
=》3x + 2y = -11
=》3 (4y + 1) + 2y = -11
=》12y + 3 + 2y = -11
=》14y = -11 - 3
=》y = -14 ÷ 14
=》y = -1
now, putting the value of y in equation (1)
=》x - 4y = 1
=》x - ( 4 × -1 ) = 1
=》x + 4 = 1
=》x = 1 - 4
=》x = -3
