Solve for x. A. 6.2 B. 6.4 C. 6.6 D. 6.8
2 answers:
<u>Answer:</u>
The correct answer option is B. 6.4.
<u>Step-by-step explanation:</u>
We know that in a pair of triangles, if two pairs of corresponding angles are congruent, then the triangles are similar. And if the two angle pairs are similar then the third pair must also be equal.
So, the corresponding sides are also proportional and we can write them as:
Now solve for x by cross multiplication to get:
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Answer:
Step-by-step explanation:
A rectangular prism is also know as a cuboid.
The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.
The volume of a cuboid (rectangular prism) is given as:
V = L * B * H
Hence, the volume of the bath tub is:
V = 5½ * 2½ * 2¾
V = 11/2 * 5/2 * 11/4
V = 605 / 16 =
The volume of the bath tub is
Answer: Choice A. sin(A) = cos(B)
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Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
- sin(A) = opposite/hypotenuse = BC/AB
- cos(B) = adjacent/hypotenuse = BC/AB
Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
