We know that In right angle triangle c^2 = a^2 + b^2.
19^2 = 3^2 + b^2
b = (361 - 9)^1/2 = 18.761663039294
Now for angles
sin(A) = a/c = 3/19
A = sin{-1}(3/19) = 9.0847202873911
A = 9.0847202873911
sin(B) = b/c = 18.761663039294 / 19
B = sin{-1}(18.761663039294 / 19) = 80.915279712614
B = 80.915279712614
Answer:
step 2
Step-by-step explanation:
BODMAS they multiplied first instead of dividing
9514 1404 393
Answer:
If x-y is a natural number, then x and y are natural numbers.
Step-by-step explanation:
The converse of ...
If P, then Q.
is ...
If Q, then P.
__
Here, we have ...
P = "x and y are natural numbers"
Q = "x-y is a natural number"
So, the converse is ...
If x-y is a natural number, then x and y are natural numbers.
_____
In this case, the converse is false.
See attached diagram.
In the first example:
Ratio of sides is 2/1
Ratio of perimeters is 2/1
Ratio of areas is 4/1
In the second example:
Ratio of sides is 3/1
Ratio of perimeters is 3/1
Ratio of areas is 9/1
We can derive these formulas:
Ratio of sides is a/bRatio of perimeters is a/bRatio of areas is (a/b)²For #7, just draw the first example's diagram.
You may not need to label all the sides, though.