25/5 would be 5
and in the inequality, it says the d/5 is greater than 28
d=25 is nor a solution to the in equality
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 moon is roughly a sphere, with an average radius of 1,738 kilometers.
The area of a sphere is 4 pi R² .
Area of the moon = (4 pi) (1,738 km)² =
(12.566) (3,020,644 km²) = 3.796 x 10⁷ km²
GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point ⇒ m∠АGJ = 90° ⇒ ΔАGJ is the right triangle.
<span>By the Pythagorean theorem:
</span>AJ² = АG² + GJ²
AJ² = 9² + 12² = 81 + 144 = 225
AJ = √225 = 15 units.