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Ad libitum [116K]
3 years ago
12

Given: Angle 0 is in quadrant III and sin0 = -sqrt(6)/4 Prove: cos0 = -sqrt(10)/4

Mathematics
1 answer:
zavuch27 [327]3 years ago
8 0

Answer:

Below.

Step-by-step explanation:

The cosine is also negative in Quadrant III.

sin^2 O + cos^2 O = 1

cos^2 O = 1 - sin^2 O

= 1 - (-sqrt(6)/4)^2

= 1 -  (6/16)

=  16/16 - 6 /16

= 10/16

So cos O = -sqrt(10/16)

= -sqrt(10)/4.

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A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical
Korolek [52]

Answer:

78% probability that a randomly selected online customer does not live within 50 miles of a physical​ store.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Total outcomes:

100 customers

Desired outcomes:

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. So the number of desired outcomes is 78 customers.

Using this​ estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical​ store?

p = \frac{78}{100} = 0.78

78% probability that a randomly selected online customer does not live within 50 miles of a physical​ store.

4 0
4 years ago
The width of a rectangle is 6 kilometers less than twice its length. if the area of the rectangle is 176 square kilometers, find
trasher [3.6K]
Let w and 2w-6 be the width and length, respectively. Then:
w(2w-6)=176
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(2w+16)(w-11 )=0
w=-16/2 or 11
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5 0
4 years ago
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irinina [24]

Answer:

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Step-by-step explanation:

6 0
3 years ago
51.68 feet per hour. Convert this speed to inches per minute.
Lyrx [107]

Answer:

10.336.

Step-by-step explanation:

There are 12 inches in 1 foot so 51.68 ft/hr

= 51.68 * 12 in/hr.

Now there are 60 minutes in an hour so the speed in inches/minute

= 51.68 * 12 / 60

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Dmitrij [34]

Answer:

No solution equation

Step-by-step explanation:

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3 0
3 years ago
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