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musickatia [10]
3 years ago
13

Evaluate Sin^-1 sqrt2/2

Mathematics
1 answer:
AnnZ [28]3 years ago
4 0

Step-by-step explanation:

Let x = arcsin(√2/2).

We have sinx = √2/2, which is a basic trignometry identity. (sin45° = √2/2)

Since the range of arcsinx is [-90°, 90°] and 45° is within the range, the answer is 45° or π/4.

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A private shipping company will accept a box for domestic shipment only if the sum of its length and girth​ (distance around) do
aivan3 [116]

Answer:

18×18×36

Step-by-step explanation:

According to the Question

108≥ 4h + w

Volume V is given by

V = wh^2

⇒V= (108-4h)h^2

⇒V= 108h^2 - 4h^3

Now differentiating and keeping = 0 we get

V' = 216h - 12h^2 = 0

h = 216/12 = 18

w = 108 - 4×18 = 36

V = 36×18^2 = 11664 from a box of 18×18×36.

5 0
3 years ago
Four people can mow a lawn in 6 hours. How many more people will be needed to mow the lawn in 4 hours, assuming each person mows
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Answer:

Two more people.

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If 6 people can mow 1/4 of a lawn in 1 hour, then 6 people can mow a lawn in 4 hours.

6 people minus 4 people is 2 people.

4 0
4 years ago
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