Answer:
<h2> A = 76.912</h2>Step-by-step explanation:
Area of triangle with angle of 30°:
Area of triangle with angle of 50°:
Area of the rest of the figure:
Therefore:
Silvia wants to mix a 20% apple juice drink with pure apple juice to make 4 L of a juice drink that is 80% apple juice. How much
1 answer:
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Answer:
3 liters
Step-by-step explanation:
There's a simple and effective "visual" way to solve mixture problems that makes short work of this.
In the attached, the concentrations of the contributors are listed on the left. It can work well to put the largest contributor on top (though that is not strictly necessary). The target concentration is put in the middle between them, and the differences along the diagonals are computed.
The diagonal differences are reduced to lowest terms as a ratio in the right-hand column. These numbers can be compared to the problem statement to see how they relate.
In this case, the total is 4 L of juice, and the total of the ratio units is 4. Then the ratio units are the number of liters of the corresponding contributor:
- 3 L of 100% juice
- 1 L of 20% juice
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The question is incomplete, here is the complete question:
Given a radius of 9 inches intercepted by the central angle 60°. Estimate the length of arc 'S' to the nearest hundredth.
<u>Answer:</u> The arc length of the circle is 9.42 inches
<u>Step-by-step explanation:</u>
To calculate the length of the arc, we use the formula:
where,
S = arc length = ?
r = radius of the circle = 9 inches
= central angle = 60°
Putting values in above equation, we get:
Hence, the arc length of the circle is 9.42 inches