Take the GCF (-8t) of the given expression.
You'll get -8t(2t-5).
Now, set each equal to zero and solve for x.
-8t = 0 2t-5=0
t=0 t = 5/2 (Or 2.5 seconds)
Answer:
1/30
Step-by-step explanation:
When we are dividing fractions, we can turn it into multiplication
14/15 divided by 28
14/15 x 1/28
14/420
simplified to 1/30
Step-by-step explanation:
cot²x − cot x − 42
(cot x − 7) (cot x + 6)
Answer:
9.80 m
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.
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<h3>setup</h3>
The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...
Tan = Opposite/Adjacent
Using the given values, we have ...
tan(24°) = AC/AB = (tree height)/(distance from tree)
tan(24°) = AC/(22 m)
<h3>solution</h3>
Multiplying by 22 m gives ...
tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m
The height of the tree is about 9.80 meters.