9514 1404 393
Answer:
sin(D) = cos(E) = (√3)/2
cos(D) = sin(E) = 1/2
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
For this diagram, this means ...
sin(D) = cos(E) = (13√3)/26 = (√3)/2
cos(D) = sin(E) = 13/26 = 1/2
Answer:
8√5 units.
Step-by-step explanation:
See the diagram in the coordinate plane attached.
A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.
The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).
Therefore, side length of the rhombus will be
units.
So, the perimeter of the rhombus will be (4 × 2√5) units = 8√5 units. (Answer)
The distance between two points 
and 
on a coordinate plane is given by
7 divided by 2 is 3.5 therefore the answer is:3.5
Answer:
3
Step-by-step explanation:
Answer:
10,070 and 10,047 pieces respectively
Step-by-step explanation:
In this question, we have 2 questions to answer.
Firstly, we are told that Jimmy has 530 pieces of paper and kit comes along to give him 18 times as much, we need to know how much he has now.
Since he was given 18 times as much, the amount given would be 18 * 530 = 9,540
The amount he has now would be 9,540 + 530 = 10,070 paper pieces
Secondly, Kim comes along to take 23 pieces away, we need to know how much pieces he has now. What to do is simply to
Subtract 23 from the previous pieces = 10,070 - 23 = 10,047 pieces of paper
