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Eduardwww [97]
3 years ago
11

If cos(x) = 0.5, then what is x?

Mathematics
2 answers:
Anestetic [448]3 years ago
5 0

Answer:

=60 the second option.

Step-by-step explanation:

Given the trigonometric ratio, we can find the value of the angle by simply finding the inverse of the given ratio.

If for example Cos ∅= a, then ∅=Cos⁻¹a

If Cos (x)= 0.5, then x= Cos⁻¹ 0.5

Cos⁻1 0.5=60°

The angle whose sine is 0.5 is ∅=60°

Reptile [31]3 years ago
5 0

Answer: second option.

Step-by-step explanation:

You have that:

cos(x)=0.5

Then, to find the value of "x", you need to apply Arccosine ( This is the inverse function of the cosine).

Therefore, applying this in the procedure, you get that the value of "x" is the following:

cos(x)=0.5\\\\x=Arccos(0.5)\\\\x=60\°

You can observe that this matches with the second option.

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A lawyer spends $75.00 on 3 staplers and 3 pads of paper. If each stapler costs $21.75, and each pad of paper costs x dollars, w
PtichkaEL [24]
Each pad of paper cost 3.25. Here is how I found it.

21.75 x 3 = 65.25
75 - 65.25 = 9.75
9.75 / 3 = 3.25

X = 3.25

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6 0
2 years ago
Read 2 more answers
1. Suppose that the amount of algae in a pond triples every 2 hours. If the pond initially contains 80 pounds of algae, how much
Whitepunk [10]
Initially = 80 pounds

It triples every 2 hours

2 hours later = 3(80)
4 hours later = 3(3(80)))
6 hours later = 3(3(3(80)))
8 hours later = 3(3(3(3(3(80)))))
8 hours later = 3^{4} x 80
8 hours later = 6480 (Answer C)

OR 

We find the number of 2 hours period in that 8 hours
8 ÷ 2 = 4 
It starts at 80 pounds
It tripes every 2 hours
Total algae = 3^{4} x 80 = 6480 (Answer C)


7 0
4 years ago
Read 2 more answers
You want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable estimate for the
Elis [28]

The sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

<h3>What is the margin of error(MOE)?</h3>

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

As we know, the sample size can be evaluated using the expression:

\rm ME = Z_c\sqrt{\dfrac{pq}{n}}

or

\rm n = \dfrac{Z^2}{ME^2}(pq)

Here ME = 1% = 0.01

p = 0.5, q = 0.5

Z at α 0.05   (because 95% confident)

= 1.960  

\rm n = \dfrac{1.960^2}{0.01^2}(0.5\times0.5)

n = 9604

Thus, the sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

Learn more about the Margin of error here:

brainly.com/question/13990500

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5 0
3 years ago
a houswwife bought one bag of grapes for $250. She retailed the grapes at $15 for one cup.She sold 65 cups of grapes and she use
Andru [333]

Answer:

$725

Step-by-step explanation:

First, find how much money she made from selling 65 cups:

65(15)

= 975

Subtract the $250 that she spent on the bag of grapes:

975 - 250

= 725

So, her profit was $725

5 0
3 years ago
NEED HELP ASAP!!
Vlad1618 [11]

Answer:

The machine can make 24 soda bottles each minute

Step-by-step explanation:

We can find the number of bottles the machine can make using the slope formula

Mathematically, this can be given as;

m = (y2-y1)/(x2-x1)

m = (192-120)/(8-5) = 72/3

m = 24

4 0
3 years ago
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