Answer:
Kelvin’s error is that when he got the final result, that was the amount that was marked down. He still needed to find the price after the original price was marked down by that number wich in this case is $18.39. So using one of his steps, 30.65(0.6)=18.39. We can subtract 30.65 (original price) and 18.39 (mark down price). You’d get 11.26 dollars as the final price.
Answer:
Your answer is A.
Step-by-step explanation:
Don't need one.
The <em><u>correct answer</u></em> is:
C.the point of concurrency of the angle bisectors of the triangle
Explanation:
The largest circle that can be drawn inside a triangle is called an inscribed circle. The center of this circle is called the incenter.
The incenter is formed by the intersection of the angle bisectors of all 3 angles in the triangle.
Answer:
<em>The angle between their paths when they started is 93°.</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:

When the two ships travel in different directions from the same point in the plane, they form an angle we called x in the image below.
Tyler's ship sails a=35 miles and Noah's ship sails for b=42 miles. At some time they are c=56 miles apart.
Since we know the values of all three side lengths, we solve the equation for x:

Substituting values:

Calculating:

Computing the inverse cosine:


The angle between their paths when they started is 93°.
Well, drop 65 cents (the first 250 grams) to get 90 remaining cents. These are 900 additional grams. So, the mass is 0.25+0.9=1.15 kg.