<em>∠PYG = 137°</em>
Step-by-step explanation:
We know that a straight line is equal to 180°, so by looking at the image we can tell that if we added both of these angles together they would be equal to the straight line.
We can make an equation by adding these two angles together and setting them equal to 180.
We can combine like terms.
Subtract 244 from both sides.
Divide.
<em><u>p = -8</u></em>
Now that we have found what p is equal to, we can plug it in to find the measure of ∠PYG.
<em><u>= 137</u></em>
~
If you wanted to double check this answer, we can plug in -8 for p on the other side and make sure both would be equal to 180.
Like this...
= 43
And we know that...
137 + 43 = 180
~
So...
<u><em>∠PYG = 137°</em></u>
<u><em>∠HYG = 43°</em></u>
Trigonometry can be used to determine the height of a cell phone tower by using SOH CAH TOA or the Pythagorean theorem. If you look at it as a right triangle you can figure out how tall the tower is. If an angle is given (not a 90°angle) and the value of a side you can figure out all of the sides on the theoretical right triangle. Including the height of the tower.
Answer:
Approximately 62.83 inches.
Exactly 20π inches.
Step-by-step explanation:
It's simply the wheel's circumference.
<em>C</em> = 2π<em>r</em> = 2(10)(π) = 20π ≈ 62.83 inches
Answer:
<em>2,136,605</em>
<em />
Step-by-step explanation:
To estimate growth, we use the formula shown below:
Where
F is the future amount (we want to find for Jan 2024)
P is the present amount (present population of 1,988,817)
r is the rate of growth (0.9% means 0.009)
t is the time in years (from Jan 2016 to Jan 2024 is 8 years, t = 8)
<em>Let's put these into the formula and figure out F:</em>
<em>
</em>
<em />
<em>Rounding we get the population in Jan 2024 to be </em><em>2,136,605</em>
