Answer:
tan(2u)=[4sqrt(21)]/[17]
Step-by-step explanation:
Let u=arcsin(0.4)
tan(2u)=sin(2u)/cos(2u)
tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]
If u=arcsin(0.4), then sin(u)=0.4
By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.
This also implies cos(u)=sqrt(0.84) since cosine is positive.
Plug in values:
tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]
tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]
tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]
tan(2u)=[(40)(sqrt(0.84)]/[34]
tan(2u)=[(20)(sqrt(0.84)]/[17]
Note:
0.84=0.04(21)
So the principal square root of 0.04 is 0.2
Sqrt(0.84)=0.2sqrt(21).
tan(2u)=[(20)(0.2)(sqrt(21)]/[17]
tan(2u)=[(20)(2)sqrt(21)]/[170]
tan(2u)=[(2)(2)sqrt(21)]/[17]
tan(2u)=[4sqrt(21)]/[17]
Answer:
24h+6
Step-by-step explanation:
Answer:
<h2>30% is enrolled out-of-district.</h2>
Step-by-step explanation:
According to the word problem, the number is increased by 50%.
To increase a number by a percent, multiply the number and the percent.
We can do this by changing both percents to decimals.
To change a percent to a decimal, divide it by 100.
The number is INCREASED by 50% so 0.5 would become 1.5.
<h2>0.3 = 30%.</h2>
The net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.
<h3>How to compute the net profit?</h3>
Case A:
Based on the information, the price of fertilizer will be:
= 0.25 × 100 × 50
= $1250
Price of wheat = 3.50 × 50 × 50
= $10500
Net profit = $10500 - $1250
= $9250
Case B:
Price of fertilizer will be:
= 0.50 × 70 × 50
= $1750
Price of wheat = 4.50 × 50 × 50
= $11250
Net profit = $11250 - $1750
= $9500
Therefore, the net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.
Learn more about net income on:
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3(the fee per hour) * 5(the number of hours) = 15
15 + 10(the initial fee) = 25
The answer is true.
