Answer:
1,79,07,120 ways
Step-by-step explanation:
Ways in which 3 solids can be chosen from 19 solids = 19 c 3
33 striped prints can be chosen from 99 striped prints in 9 c 3 ways
33 floral prints can be chosen from 121 floral prints in 12 c 33 ways
So, total ways = (19 c 3) (9 c 3) (12 c 3)
(969) (84) (220)
1,79,07,120
Answer:
No, he does not have enough rope. 0.26 ft short.
Step-by-step explanation:
3 x 10.42 = 31.26
31.26 - 31 = 0.26
To write 7.32 as a fraction you have to write 7.32 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
7.32 = 7.32/1 = 73.2/10 = 732/100
And finally we have:
7.32 as a fraction equals 732/100
You don't say whether this is a right triangle or not.
Assuming it is a right triangle, then we use the Pythagorean Theorem to determine the length of the hypotenuse:
(hypo) = (length of third side) = √(12^2 + 4^2) = √(144+16) = √160 = 4√10.
This is approx. 12.65 inches. Since this does not match any of the possible answer choices, we'll have to take a different approach to answering this question.
Given that 2 sides of the given triangle are 12 and 4 inches, respectively, we see that the 3rd side has to be longer than 8 inches; otherwise we'd have three line segments on the same line, not forming a triangle.
By this reasoning, 9 inches is the only possible answer that could be correct. With sides 12, 9 and 4 inches, the triangle would be obtuse and appear quite flat, but not be part of a straight line as with a third side of 8.
