(5×2)= 10 (3×15)=45
(5×2)×(3×15)=405
Recall the following identities:
from which we get
Since
is in the fourth quadrant
we know that
should be positive, so when we take the square root here, we should take the positive root.
Now recall that
and since
is in the fourth quadrant, we expect
to be negative. So,
One final identity:
from which we get
Answer:
Between the first observation and the second observation, the Moon moved so that the astronomers were able to see more of the half that faces the sun.
Step-by-step explanation:just took a test and got 100% hope this helps
Answer: See below
Explanation:
8x + 14 = 10x - 10 (alt. exterior angle)
8x - 10x = -10 - 14
-2x = -24
x = -24/-2
x = 12
Now plug x = 12 in 10x - 10 to find the angle:
10(12) - 10 = 120 - 10 = 110 degree
For this question you must know about 45 45 90 triangles and 30 60 90 triangles and their special properties first you have to find the hypotenuse of the 45 45 90 triangles which is always square root of two times a leg in this case 10. so now you have 10squareroot2 the longer leg is sqare root 3 times the shorter leg in a 30 60 90 triangle
x=10squareroot6
and y is 2 2 times larger than the shorter side
y=20squareroot3