Answer:
y = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = 
sin45° =
= 
Multiply both sides by y
y × sin45° = 9, that is
y ×
= 9
Multiply both sides by 
y = 9
798 / 6 = 133
There will be 133 calories in one 10 ounce bottle of apple juice.
Answer:
Step-by-step explanation:
the event of drawing a spade card
The general expression is 130 x - 600 and total points scored by the player is 1220
A) Let the number of correctly answered questions be x.
∴ Number of incorrectly answered questions will be 20 - x.
+ 100 points is awarded for each question answered correctly while -30 points is awarded for each question answered incorrectly.
Thus, the general equation becomes
= 100x - (20 - x)(-30)
= 100x +30x - 600
= 130x - 600
Thus the general expression becomes 130 x - 600
B) The player answers 14 questions correctly, thus x = 14
Substituting the value of x =14 in the general equation we get,
= 130(14) - 600
= 1820 - 600
= 1220.
Thus the total points scored by the player will be 1220
Learn more about Linear Equations here :
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Area of rectangle = 35 feet square
Let the Width of rectangle is x feet.
Length of rectangle is 3 feet more than twice the width.
Thus,Length can be written as: 2x + 3
Area of rectangle is product of its length and width.
So,
Area = Length x Width

Thus
x = -5
or
x =7/2 = 3.5
Since the measure of width cannot be negative, we neglect x = -5. and keep the value x = 3.5
Therefore,
Width = 3.5 feetLength = 2x + 3 = 2(3.5) + 3 = 10 feet