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Ipatiy [6.2K]
2 years ago
13

3(sin 0+ cos O) -(sin 0 + cos ) = 2(sin2 0 + cos²0) ​

Mathematics
1 answer:
Gennadij [26K]2 years ago
7 0

Step-by-step explanation:

sin0 = 0

cos0 = 1

3(0 + 1) - (0 + 1) = 2(0+1)

3 - 1 = 2

2=2

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PUPUL 2
grandymaker [24]

Answer:

37.045

Step-by-step explanation:

4 0
3 years ago
The children in my subdivision were bored one summer and decided to hold a competition to see who could run to the end of the st
Ainat [17]

Answer:

6.7% of children who finished the race in under 45 seconds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 75 seconds

Standard Deviation, σ =  20 seconds

We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(finished the race in under 45 seconds.)

P(x < 45)

P( x < 45) = P( z < \displaystyle\frac{45 - 75}{20}) = P(z < -1.5)

Calculation the value from standard normal z table, we have,  

P(x < 45) = 0.067 = 6.7\%

6.7% of children who finished the race in under 45 seconds.

4 0
4 years ago
Find the perimeter of the triangle.<br><br> Please help!<br><br> That one is 2x+5 if you cannot see.
Paul [167]
2x3x5=30
3 is from the amount of sides in the triangle
6 0
4 years ago
If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?
Zigmanuir [339]

Answer:

5050 = 225f + 125p

If p = 17 this month, then, f = 13

Step-by-step explanation:

Kiri owns a coworking space that has two primary types of memberships, full time and part-time. In order to pay her bills each month (rent on the building, electricity, internet, and so on) she needs to make $5050. Full-time memberships (f) cost $225 per month, and part-time memberships (p) cost $125 per month.

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Total cost = $5050

cost of full-time memberships = $225

number of full time members = f

cost of part-time memberships = $125

number of part-time members = p

Total cost = cost of full-time memberships * number of full time members + cost of part-time memberships * number of part-time members

5050 = 225f + 125p

If p = 17 this month,

5050 = 225f + 125p

5050 = 225f + 125(17)

5050 = 225f + 2,125

5050 - 2,125 = 225f

2,925 = 225f

f = 2,925/225

f = 13

number of full time members = f = 13

If p = 17 this month, then, f = 13

5 0
3 years ago
3) 5 fl. oz. of a 2% alcohol solution was mixed with 11 fl.
dangina [55]

Answer:

<em>The concentration of the new mixture is 46%</em>

Step-by-step explanation:

The first solution of 5 fl. oz. is concentrated at 2% alcohol. The amount of alcohol in the solution is:

5*2/100=0.1 fl. oz.

The second solution of 11 fl. oz. is 66% alcohol. The amount of alcohol in the solution is:

11*66/100=7.26 fl. oz.

The total alcohol in the mixture is

0.1 + 6.6 = 7.36 fl. oz.

The total amount of the mixture is:

5 + 11 = 16 fl.oz.

The concentration of the new mixture is:

7.36 / 16 * 100 = 46%

The concentration of the new mixture is 46%

3 0
3 years ago
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