Answer:
A
Step-by-step explanation:
3/24=9/72 3*3=9 24*3=72 x=3
3/9=y/12 9/3=3 12/3=4 y=4
X=3 y=4
Probability is 0/12 since there are no blue lollipops in the bag.
1/8x2 and 4x I had usa test prep
Answer: The length of the square is 
Step-by-step explanation:
By definition, the area of a Regular polygon can be calculated with the following formula:
Where "s" the length of any side of the polygon and "n" is the number of sides .
According to the information given in the exercise, you know that:
Since an hexagon has six sides, you know that:
Therefore, its area is:
The formula to find the area of a square is:
Where "s" is the length of any side of the square.
Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".
Then you get:
Let us find the length of rope Jules will need using the pythagoras theorem .
Width of the moat ( let the moat be the base of this triangle ) = 14 foot
Distance from Roma's window to the boat ( let this be the side of the triangle where the right angle is present ) =20 feet
Then the length of rope needed ( hypotenuse ) =
= Let us name the triangle that is formed as △ ABC . Then ;
In △ ABC :
AB = the width of moat ( leg of triangle ) = 14 foot
BC = The distance from the window to the moat ( base ) = 20 feet
AC = Length of rope needed ( hypotenuse ) =
= AB ² + BC² = AC² ( according to the pythagoras theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )
= 14² + 20² = AC²
= 196 + 400 = AC²
= 596 = AC²
= 24 × 24 = AC × AC
= 24 foot = AC = length of rope needed by jules .
Therefore , Jules will need a 24 foot rope so that his girlfriend can slide down and escape from her apartment .
