Answer:
3 inches
Step-by-step explanation:
(14+2x) × (15+2x) = 2(14×15)
210 +30x +28x + 4x² = 420
4x² + 58x - 210 = 0
2x² + 29x - 105 = 0
2x² + 35x - 6x - 105 = 0
x(2x + 35) - 3(2x + 35) = 0
(x - 3)(2x + 35) = 0
x = 3, -35/2(not possible)
Answer:
(3,0.5)
Step-by-step explanation:
The given system has equations:
Let us multiply the second equation by 4 and the first equation by 10.
We add both new equations to get:
Put x=3 into the first equation and solve for y.
The point of intersection is the solution to the system of equation which is (3,0.5)
Answer:
x = 26°
Step-by-step explanation:
The measure of the secant- secant angle x is one- half the difference of the measures of the intercepted arcs , larger subtract smaller
x = (66° - 14°) = 0.5 × 52° = 26°
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly
17.0045249336018 meters tall
Answer: 17.0045249336018Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to
Answer:
Every whole number n can be written as a fraction of integers.
Step-by-step explanation:
Every whole number n can be written as a fraction of integers: x=x/1.
If we use 15 as an example, it would be 15 = 15/1. 15/1 is 15.
So whole numbers are rational