9514 1404 393
Answer:
(b) One figure is a rotation image of the other
Step-by-step explanation:
The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.
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.
First third and last answer
Answer:
6/4 or 1 1/4
Step-by-step explanation:
1/4 times 6 because the question is asking for the recipe to be made 6 times. So 1/4 times 6 or 1/4 time 6/1 is 6/4 or 1 1/4.
(2.5 x 10^-8)(9 x 10^-10) = (2.5 x 9) x (10^(-8 + (-10))) = 22.5 x
10^(-8 - 10) = 2.25 x 10^1 x 10^-18 = 2.25 x 10^(1 + (-18)) = 2.25 x
10^(1 - 18) = 2.25 x 10^-17
