hope it helps!
Answer:
107.9 ft
Step-by-step explanation:
Imagine Kite is a point A. The person ,who keeps the string is point B.
The height of flying is AC=85 ft. So we have right triangle ABC :angle C=90 degrees, angle B is 52 degrees. Length of AB (triangle ABC hypotenuse) is the length of the string.
AB=AC/sinB=85/sin52=107.8665...=approx 107.9 ft
Please use " ^ " to denote exponentiation: <span>y=x^2+5x−7.
Borrow "x+5" from the first equation and replace y in the second with that:
x+5 = x^2 + 5x - 7. Then x^2 + 5x - 7 - x - 5 = 0, or x^2 + 4x -12 = 0.
This is easily factored: (x-2)(x+6)=0, so that x=2 and x=-6.
Using y = x+5, find y for x=2 and then y for x=6.</span>
Answer:
Step-by-step explanation:
if there are 500 tixets and 7 prizes (1 top prize+1 second prize+5 third prize) your chances of wining are 7/500=0.014 or 1.4% chance
with a 1.4% chance of win and a 98.6% chance to loose in average you can expect to loose.
Answer:
10.32
Step-by-step explanation:
10.31988
the 9 makes the 1 to a 2 so...
10.32
The total cost without the discount is given by:
$
Then, to find the discounted amount, we make the following rule of three:
10 $ ------------------> 100%
x ----------------------> 20%
From here, we clear the value of x.
We have then:
![x = (\frac{20}{100}) * (10)\\x = 2](https://tex.z-dn.net/?f=%20x%20%3D%20%28%5Cfrac%7B20%7D%7B100%7D%29%20%2A%20%2810%29%5C%5Cx%20%3D%202%20%20%20)
Then, the cost of the Strawberries with the discount is:
$
Answer:
Kate pays for the strawberries about $ 8.