Answer:
The answer is definitelly B.(Area of 1) + (Area of 2) = (Area of 3)
Step-by-step explanation:
There are 20 nickels and 16 quarters
<em><u>Solution:</u></em>
Let "n" be the number of nickels
Let "q" be the number of quarters
We know that,
1 nickel = 0.05 dollar
1 quarter = 0.25 dollar
<em><u>Gabby has a bag containing 36 nickels and quarters</u></em>
Therefore,
n + q = 36
n = 36 - q ------- eqn 1
<em><u>The total value of the coins is $5</u></em>
<em><u>Thus we frame a equation as:</u></em>
number of nickels x 1 nickel + number of quarters x 1 quarter = 5

0.05n + 0.25q = 5 ------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
0.05(36 - q) + 0.25q = 5
1.8 - 0.05q + 0.25q = 5
0.2q = 3.2
q = 16
<em><u>Substitute q = 16 in eqn 1</u></em>
n = 36 - 16
n = 20
Thus there are 20 nickels and 16 quarters
Answer:
Brian Peters worked for total of 45 hours.
Step-by-step explanation:
Let the total number of hours worked be 'x'.
Now Given:
Hours spent on other projects = 18 hours.
Also Given:
60% of a week's time working on drawings for a new apartment building.
Hours spent on new apartment building = 
We need to find the total hours worked.
Solution:
Now we can say that;
total number of hours worked is equal to sum of Hours spent on new apartment building and Hours spent on other projects.
framing in equation form we get;

Combining like terms we get;

Now Dividing both side by 0.4 we get;

Hence Brian Peters worked for total of 45 hours.
For starters,
tan(2θ) = sin(2θ) / cos(2θ)
and we can expand the sine and cosine using the double angle formulas,
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = 1 - 2sin^2(θ)
To find sin(2θ), use the Pythagorean identity to compute cos(θ). With θ between 0 and π/2, we know cos(θ) > 0, so
cos^2(θ) + sin^2(θ) = 1
==> cos(θ) = √(1 - sin^2(θ)) = 4/5
We already know sin(θ), so we can plug everything in:
sin(2θ) = 2 * 3/5 * 4/5 = 24/25
cos(2θ) = 1 - 2 * (3/5)^2 = 7/25
==> tan(2θ) = (24/25) / (7/25) = 24/7
Answer:
8.
Step-by-step explanation:
x cannot be 8 because that would make the denominator zero.