Answer:
<em>h = 8.54 units</em>
Step-by-step explanation:
<u>The Law of Cosines
</u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
Since we know the values of all three side lengths, we solve the equation for x:
For the triangle ABC in the image, a=10, b=15, c=13, thus:
Thus, A = 58.67°
For the right triangle of height h and hypotenuse 10, we use the sine ratio:
Solving for h:
h = 8.54 units
Answer:
1. Going to the close store is cheaper.
Step-by-step explanation:
The difference in the prices of chicken is 3.19 -2.89 = 0.30 per pound, so for 5 pounds of chicken, the far store offers a price that totals 5×$0.30 = $1.50 less.
The difference in travel distances is 8.4 -2.4 = 6 miles, so the total round-trip distance difference is 12 miles. The cost of gas is ...
($3.81 /gal)/(23 mi/gal) = $0.1656 /mi
so the cost of gas for the 12-mile longer trip would be
12×$0.1656 ≈ $1.99
Traveling to the far store, you would spend $1.99 more on gas to save $1.50 on the price of chicken. Going to the close store is cheaper.
Answer:
226.08 yd 3
Step-by-step explanation:
Step-by-step explanation:
Imagine a line segment on a coordinate plane that rotates around the origin like a clock hand. If it travels 45° (or any positive degree angle), it will travel in a counterclockwise direction. If it rotates -45° degrees (or any negative degree angle), it will travel in a clockwise direction.
