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:
a) w = 8; y = 5.25
b) x = 10; z = 7.2
Step-by-step explanation:
a) Dimensions on the smaller figure are FA/F'A' = 3/4 times those on the larger figure.
6 = (3/4)w
w = 24/3 = 8
y = (3/4)·7 = 21/4 = 5.25
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b) Dimensions on the smaller figure are ER/E'R' = 9/15 = 3/5 times those on the larger figure.
6 = (3/5)x
x = 30/3 = 10
z = (3/5)12 = 36/5 = 7.2
Answer:
Hey there!
6 hrs 45 mins = 405 mins, or 6.75 hours.
Hope this helps :)
Step-by-step explanation:
Let n be the age of the youngest sister. Since the ages are consecutive odd integers, the next sister's age is n+2, and the oldest sister is n+4. the following equation represents the relationship between the girls' ages.
n + 3(n + 4) = 5(n + 2) - 5
n + 3n + 12 = 5n + 10 - 5
4n + 12 = 5n +5
-4n -5 -4n -5
7 = n
so the sisters are 7, 9, and 11
