Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.
To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.
Upon substituting our given values in Pythagoras theorem, we will get:
Take square root of both sides:
Therefore, the length of side 'a' is 
units.
We know that tangent relates opposite side of a right triangle with adjacent side.
We can see that 'a' is opposite side of angle A and 'b' is adjacent side.
Therefore, the value of tan(A) is 
.
Answer:
Work out the area of ABCD.
Answer: 76Wh
Step-by-step explanation:
Basically all you have to do to find the answer is multiply 80 by 0.05. Then after that you subtract 80 by the answer you got. That's pretty much it.
80
<u>x 0.05</u>
4
80
<u>- 4</u>
76
<h3>
Answer: 384 square units</h3>
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Explanation:
Let A = (4,8) and B = (12,16)
Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.
The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.
So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.
There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.
