The directions of travel are at right angles to each other, so the Pythagorean theorem can be used to find the straight-line distance to the starting point. That distance (d) satisfies ...
d² = 65² +102²
d = √(4225 +10404) = √14629 ≈ 120.95
The appropriate choice is ...
... c. 121 miles
Answer:
Step-by-step explanation:
Length between the bases on a major league diamond = 90 feet
1 feet = 12 inches
90 feet = 90 × 12
= 1080 inches
Length between the bases on a major league baseball diamond on scale drawing = 2.5 inches
2 lb in each package
There are 3 types of nuts they all have 9 1/3 pounds in them. multiply 3 by 9 /13 to find out how many pounds of nuts there is. 3×9 1/3 That is 28 pounds. Now divide the 28 pounds of nuts into the 14 packages. 28 ÷ 14 There is 2 pounds of nuts in each package.
Answer:
diameter = m - c
Step-by-step explanation:
In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).
The sum of the lengths of the tangents from points A and B on side "c" is ...
(b-r) +(a-r) = c
(a+b) -2r = c
Now, the problem statement defines the sum of side lengths as ...
a+b = m
and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...
m -d = c
m - c = d . . . . add d-c
The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.
Answer:
because all the fans have left
Step-by-step explanation:
