Answer:
13
Step-by-step explanation:
30 feet
Step-by-step explanation:
- Since Natalie is standing right next to the Penthouse, we can establish the ration between her height and the shadow she casts, which is;
1.1 : 5.5
- The two are related by a factor of 1/5
- We can use this factor to establish the shadow cast by the penthouse;
1/5 * 150
= 30
Learn More:
For more about relationships by ratios check out;
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The standard form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle, (x,y) is a point of the circle, and r is the length of the radius of the circle. When the equation of a circle is written, h,k, and r are numbers, while x and y are still variables. (x-2)^2 + (y-k)^2 = 16 is an example of a circle. The problem gives us two of the three things that a circle has, a point (5,9) and the center (-2,3). We need to find the radius in order to write the equation. We substitute -2 for h, 3 for k, 5 for x, and 9 for y to get (5 - (-2))^2 + (9 - 3)^2 = r^2 We simplify: 49 + 36 = r^2, r^2 = 85. We only need to know r^2 because the equation of a circle has r^2. We now have all the information to write the equation of a circle. (x + 2)^2 + (y - 3)^2 = 85.
Answer:
b-5=16
Step-by-step explanation:
well, it says 5 is LESS THAN b so we do b minus 5 than it says is 16 and is means equal so we do b minus 5 equals 16. super easy once you get the hang of it.
