Answer:
Step-by-step explanation:
a circle will satisfy the conditions of Green's Theorem since it is closed and simple.
Let's identify P and Q from the integral
, and 
Now, using Green's theorem on the line integral gives,
Answer:
x = 44
Step-by-step explanation:
sqrt(x+5) -3 =4
Add 3 to each side
sqrt(x+5) -3+3 =4+3
sqrt(x+5) =7
Square each side
(sqrt(x+5))^2 =7^2
x+5 = 49
Subtract 5 from each side
x+5-5 = 49-5
x=44
A ratio shows us the number of times a number contains another number. The ratio of the volume of the model to the volume of the original is 27/2744.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
Given that the scale factor is 3:14. Therefore, the ratios can be written as,
(a) The ratio of the surface area of the model to the surface area of the original is,
Surface area Ratio = (3/14)² = 9/196
(b) The ratio of the volume of the model to the volume of the original.
Volume Ratio = (3/14)³ = 27/2744
(c) The ratio of the width of the model to the width of the original.
Width Ratio = 3/14
Learn more about Ratios:
brainly.com/question/1504221
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Answer:
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?
a) 2x + 3x + 9
b) 2x + 3 + 9
c) 2x + 3x + 9x
d) 2 + 3x + 9
Answer:
a) 2x + 3x + 9
Step-by-step explanation:
Answer:
(- 1/2 , √3/2)
Step-by-step explanation:
t=20π/3
t' = 20π/3 - 6π = 2π/3 (120°) ... 2nd quadrant
If we start from (1,0) of unit circle, the coordinate of terminal point (x,y)
OF/OE = - cos 60° = x / 1 = - 1/2
FE/OE = sin 60° = y/1 = √3/2
