Answer:
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so
we have
Find the height of the right triangle applying the Pythagorean Theorem
The radius of the semicircle is half the height of triangle
substitute in the formula
The answer is true- A proportion is an equation showing equivalent of two ratios or rates
bearing in mind that there are 60 minutes in 1 degree, and 60 seconds in 1 minute.
60°19'39"
so 39 seconds is really 39/60 minutes, or 0.65 minutes
so 19'39" is really 19.65'.
since there are 60 minutes in 1 degree, then 19.65' is really 19.65/60 degrees, or 0.3275°.
60°19'39" is then 60.3275°.
For the first one, simplify the radicals. The 3 root 8 can be rewritten as 3 root 4 root 2, which turns into 6 root 2. The 4 root 3 can’t be simplified, so just multiply. 6*4=24 and the root 2*root 3 turns into root 6. So your answer for the first one is 24 root 6.
For the next one you can’t have a radical in the denominator so just multiply by root 3/ root 3, which gives you 6 root 3/3 which simplifies into 2 root 3.
Ex: you can do 5-3 by putting a dot on the five and looping back 3 spaces. Hope it helps!
