Answer:
.
Step-by-step explanation:
From the given table it is clear that x and y are linearly related.
Now, any two points that satisfy the relation between x and y are sufficient to express the equation.
The first two given points are (2,3), and (4,4).
Therefore, the equation is
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⇒
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. (Answer)
Answer:
113.04 sq. in.
Step-by-step explanation:
If the diameter of the circle is 12", then the radius is 6" (half the diameter), and the area "A" is (approximately) 3.14 * 6^2. The calculation is approximate because 3.14 is a rounded value for pi.
Answer:
8.4 cm^3 to the nearest tenth.
Step-by-step explanation:
The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.
So:
5^3 / 2^3 = 131 / v
v = 2^3 * 131 / 5^3
= 8 * 131 / 125
= 8.384.
570-245 = 325
325 / 5 = 65
she keep adding 65 dollars to her acc every week
Answer:
15 miles
Step-by-step explanation:
Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).
Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = 
Thus, the answer is 15 miles.
Hope this helps!