Answer:
S = 15π = 47.12
length of arc S = 15π
Attached is the image of the arc.
Step-by-step explanation:
Given;
Radius arc r = 10
Angle at the center of arc ⍉ = 3π/2
The length of the arc S can be derived using the formula;
S = r × ⍉
Substituting the values;
S = 10 × 3π/2
S = 30π/2
S = 15π = 47.12
length of arc S = 15π
The solution to the system of equation are x = -2 and y = 3
<h3>How to find the solution of a system of equation?</h3>x + 3y = 7
2x + 4y = 8
Let's isolate x in the first equation
x = 7 - 3y
substitute the value of x in the second equation.
Therefore,
2(7 - 3y) + 4y = 8
14 - 6y + 4y = 8
-2y = 8 - 14
-2y = -6
y = -6 / -2
y = 3
Hence,
x + 3(3) = 7
x = 7 - 9
x = -2
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Answer: There are 90 calories in a 6-ounce bottle.
Step-by-step explanation:
We assume that the quantity of juice in the bottle is directly proportional to the number of calories it contains.
Given: 10 ounces of juice has 150 calories.
i.e. 1 ounce of juice has calories.
i.e. 1 ounce of juice has 15 calories.
Now, In 6 ounce of juice, the number if calories = 15 x 6 = 90 calories
Hence, there are 90 calories in a 6-ounce bottle.