5. The Smith family is driving to a vacation spot. The
1 answer:
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Answer:
The likelihood that a point chosen inside the square will also be inside the circle: 78.54%
Step-by-step explanation:
- Let x is the side of the suqare
=> the area of the square is:
- Let d is the diameter of the circle
=> the area of the circle : π
However, d=x because of the square property
<=> the area of the circle : π
The likelihood that a point chosen inside the square will also be inside the circle:
the area of the circle / the area of the square
= π /
= π *100%
= 0.7854 * 100%
= 78.54%
Answer:
5. None of the above
Step-by-step explanation:
We have this information:
A = 60 cm2
b = 2*h - 1
Let's find out b and h:
The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have
Let's find h with the quadratic formula:
h = 8 or h = -7.5
But h represents the height of the triangle, so it has to be a positive number, that's h = 8.
If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.
Now we can calculate the hypotenuse with the Pythagorean equation
<em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle).
</em>
The base and the height are our legs. We will use "H" for the hypotenuse
H = 17
If we decrease the base and the height by 2 centimeters, we have
b' = 15 - 2 = 13 and h' = 8 - 2 = 6
With this, let's calculate the new hypotenuse:
So, the hypotenuse decreases