9514 1404 393
Answer:
29
Step-by-step explanation:
From the point where the chords cross, the product of lengths to the circle intercepts is the same for both chords:
LB·LD = LC·LE
10·18 = 9·LE
LE = 180/9 = 20
The the measure of CE is ...
CE = LC +LE = 9 + 20
CE = 29
The second 4 is greater than the first one
If a field is 900 meters squared and one side is twice as big as the other how big is each side
Answer:
x = 30°, 90°, 150°
Step-by-step explanation:
Using the trigonometric identity
sin2x = 2sinxcosx
Given
sin2x- cosx = 0, then
2sinxcosx - cosx = 0 ← factor out cosx from each term
cosx(2sinx - 1) = 0
Equate each factor to zero and solve for x
cosx = 0 ⇒ x = 90°
2sinx - 1 = 0 ⇒ 2sinx = 1 ⇒ sinx =
⇒ x = 30° ← first quadrant
sinx > 0 in first/ second quadrant, thus
x = (180 - 30)° = 150° ← second quadrant
x = 30°, x = 90°, x = 150° for 0 ≤ x ≤ 180
Answer:
B
Step-by-step explanation:
The red graph is the graph of y = f(x) translated horizontally by 3 units
Given f(x) then f(x + a) is a horizontal shift of a units
• If a > 0 then shift to the left of a units
• If a < 0 then shift to the right of a units
Here f(x) has been shifted 3 units to the right, thus
y = f(x - 3) → B