Answer:
28. (H) 24 ft
30. (F) 
Step-by-step explanation:
28. A right triangle can be formed, where the length of the cable represents the hypotenuse, and the ground represents the base of the triangle. From the pythagorean theorem,
where a and b are legs, and c is the hypotenuse of a right triangle.
So
30. The probability of drawing a red 1 is 
(a red star 1 or a red heart 1), the probability of drawing a black 3 is (a black triangle 3 or a black circle 3), and the probability of drawing a six of hearts is 
(since there is only one six of hearts in the entire deck). Since each of the cards is mutually exclusive from one another, the probability of drawing any of them is simply all of their probabilities added together. That is,
First, find the area of the base (the triangle) and then multiply it by the height
to find the area of the triangle you need to know the height. cut the triangle in half and you get a right triangle, from there you can use the Pythagorean theorem. remember since you cut the triangle in half you have to divide one of the sides by 2
a^2 + b^2 = c^2 (plug in known information)
a^2 + (7.5)^2 = (15)^2 (solve, first solve the exponents)
a^2 + 56.25 = 225 (subtract 56.25 on both sides)
a^2 = 168.75 (solve for a, put 168.75 under the square root)
then once you find the area multiply by the known height
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I did this excat problem in school but my teacher just gave us the answer which is X<2
Answer:
Step-by-step explanation:
<u>Let's factor the trinomial:</u>
- x² + 14x + 40 =
- x² + 4x + 10x + 40 =
- x(x + 4) + 10(x + 4) =
- (x + 4)(x + 10)
x + 4 is between the answer options
Correct option is D.
