Answer:
about 36.3 feet
Step-by-step explanation:
Let x represent the height of the kite in feet. Then (x-22) is the horizontal distance to the kite. The Pythagorean theorem tells you the string length is related to these distances by ...
... 39² = x² + (x-22)²
... 2x² -44x -1037 = 0 . . . . rearrange to standard form
Using the quadratic formula, the positive solution is ...
... x = (-b+√(b²-4ac))/(2a) . . . . for a=2, b=-44, c=-1037
... x = (44 + √((-44)² -4(2)(-1037)))/(2·2)
... x = 11 + √639.5 ≈ 36.288
The kite is about 36.3 feet above the ground.
16 because it is going to be
The minor
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Here's how you solve this. So, x+y=2, right? Let's isolate x. x+y-y=2-y. x=2-y. NOW, if x=2-y, in 3x+2y=5, we can REPLACE x with 2-y and use it to solve for y! 3x+2y=5. 3(2-y)+2y=5. (3*2)+(3*-y)+2y=5. 6+(-3y)+2y=5. 6+(-y)=5. 6+(-y)-6=5-6. -y=-1. -y/-1=-1/-1. y=1.
So, if y=1, we can substitute that back into either equation--but let's go with the easier one, x+y=2. x+1=2. x+1-1=2-1. x=1. 1+1=2, so that works; let's check the other equation. 3(1)+2(1)=5. 3+2=5. 5=5. That's correct!
Answer: x=1, y=1
Answer:
Step-by-step explanation:
There is a formula for the area of a sector given the radius and the angle measure.
n = angle measure
r = radius
The answer for this question is B
