So.. hmm notice the picture here
we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59
we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2
now.. use the pythagorean theorem
you'd end up with a quadratic, after simplifying, solve for "w"
The probability of “landing” in the shaded region to the nearest hundredth is equal to 0.79 or 79.0%.
<h3>How to determine the
probability?</h3>
First of all, we would determine the area of the given geometric shapes.
For the square, we have:
Mathematically, the area of a square can be calculated by using this formula;
Area = x²
Area = 50²
Area = 2500 ft².
For the circle, we have:
Mathematically, the area of a circle can be calculated by using this formula;
Area = πd²/4
Area = (3.142 × 50²)/4
Area = 1,963.75 ft².
Now, we can determine the probability as follows:
Probability = 1963.75/2500
Probability = 0.79 or 79.0%.
<h3>When the side length is 40 ft.</h3>
Area = x²
Area = 40²
Area = 1600 ft².
For the circle, we have:
Area = πd²/4
Area = (3.142 × 40²)/4
Area = 1256.8 ft².
Probability = 1256.8/1600
Probability = 0.79 or 79.0%.
Read more on probability here: brainly.com/question/24441555
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Answer:
answer i d
Step-by-step explanation:
Answer:
b=5
Step-by-step explanation:
−4+bx=2x+3(x+1) (expand parenthesis first, i.e PEDMAS)
−4 + bx = 2x + 3x + 3
−4 + bx = 5x + 3 (move all x terms to one side and constants to another)
5x - bx = - 4 -3
5x - bx = - 7 (factor out x)
(5 - b)x = - 7
x = -7 / (5-b)
we can see that 5-b is in the denominator. Recall that for a fraction, the denominator cannot be zero otherwise the expression is undefined. (i.e no solutions)
hence the expression is undefined if,
(5-b) = 0
or b = 5
Answer:
3/4y + 8
Step-by-step explanation: It has no like terms so ye
