Answer:
<em>The person on the ship can see the lighthouse
</em>
Step-by-step explanation:
<u>The Circle Function
</u>
A circle centered in the point (h,k) with a radius r can be written as the equation

Any point (x,y) can be known if it's inside of the circle if

The question is about a beam of a lighthouse than can be seen for up to 20 miles. If we assume the lighthouse is emitting the beam as the shape of a circle centered in (0,0), then its radius is 20 miles. Thus any person riding a ship inside the circle can see the lighthouse. This means that


The ship's coordinates respect to the lighthouse are (10,16). We should test the point to verify if the above inequality stands


The inequality is true, so the person on the ship can see the lighthouse
Answer: 25%
Step-by-step explanation:
1/4 of 100 is 25.
100/4 is 25
1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.
The ratio is 4:3:1
Add the ratios: 4+ 3 + 1 = 8
Divide total cups by total ratio:
32/8 =4
Now multiply that by each portion of the ratio:
Grape juice = 4 x 4 = 16 cups
Pineapple juice = 3x4 = 12 cups
Cider = 1x 4 = 4 cups
She needs 12 cups of pineapple juice.
Answer:
B.) Transitive Property of Congruency; If parallel lines have a transversal, then alternative interior angles are congruent.
Step-by-step explanation:
Alternate interior angles are the two angles that are inbetween the parallel lines but are on opposite sides of the transversal. Angles 4 and 5 are alternate interior, and therefore, they are congruent.