The answer is D, 8$. One easy way to do it is to take 10% of 40, which is 4, and double it.
Answer:
<em>x = 15°</em>
<em>x = 135°</em>
<em>x = -45°</em>
<em>x = -180°</em>
Step-by-step explanation:
<u>Trigonometric Equations</u>
Solve
cos(2x + 30°) = 0.5 for -180° ≤ x ≤ 180°
Applying the inverse cosine function:
2x + 30° = arccos(0.5)
There are several angles whose cosine is 0.5. They are 60°, 300°, -60° and -300°, thus we have these candidate solutions:
2x + 30° = 60°
2x + 30° = 300°
2x + 30° = -60°
2x + 30° = -300°
Subtracting 30° to all the equations:
2x = 60° - 30° = 30°
2x = 300° - 30° = 270°
2x = -60° - 30° = -90°
2x = -60° - 300° = -360°
Dividing by 2 we have the complete set of solutions:
x = 15°
x = 135°
x = -45°
x = -180°
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;
implies that the following sides are similar:
Take for instance:
Then the solution is:
Substitute values for CA, HI, AP and IT
Express as fraction
Multiply both sides by b
Substitute 19 for b
To decide which cake would be the best value for money, we will calculate the volume of each cake
Cake A: 9.5 × 13 × 2 = 247 inches³
Cake B: 12 × 14 × 1.5 = 252 inches³
The best value cake will be cake B
Cake B is 14 - 13 = 1 inch longer and 12 - 9.5 = 2.5 inches wider but it's also 0.5 inches shorter than cake A.
