D = 25 ft is the length of a shadow. L - the length of a tree.
Two angles are 85° and 65° and the third is 180° - ( 65° + 85° ) =
= 180° - 150° = 30°.
We will use the Sine Law:
25 / sin 30° = L / sin 65°
25 / 0.5 = L / 0.9063
25 * 0.9063 = 0.5 L
22.6577 = 0.5 L
L = 22.6577 : 0.5
L = 45.3 ft.
Answer: the approximate length of the tree is 45.3 ft.
Answer:
Step-by-step explanation:
The first step is usually to isolate the x term. You have -4x - ⅖ on the lefthand side of the equation. You want to remove the -⅖ so the -4x is alone.
Add ⅖ to both sides:
-4x > ⅖ + 5/10
Answer:
Step-by-step explanation:
x − 5 = 0 ⇒ x1 = 5
3x + 1 = 0 ⇒ x2 = −1
3
≈ −0.333333
Factorization:
(x − 5)(3x + 1) = 0
Standard form:
3x2 − 14x − 5 = 0
Extrema:
Min = (2.333333, −21.333333)
Answer:
(
3
x
+
1
) (
x
−
5
)
The difference between the smoker and the non-smoker is $151
1000 x $7.85 = $785
1000 x $9.36 = $936
= $151
