Answer:
3 3/4= 3*4+3/4=15/4
1 7/9= 1*9+7=16/9
16/9*15/4= 4/3*5/1= 20/3 = 6 2/3
You didn’t provide the worksheet so i cant answer it. ♀️
Answer: 9
Step-by-step explanation: the base is 6 and the height is 3. The formula for a triangle is A = 1/2bh
6 times 1/2 is 3
3 times 3 = 9
This can be solved in several ways. First with the basic trigonometry identity of tangent and sine (or cosine)
tanα=opposite side/adjacent side...
tanα=20/3
α=arctan(20/3)
Then sinα=h/x
x=h/sinα where α found above and h=20m:
x=20/sin(arctan(20/3)) meters
x≈20.22m (to nearest one-hundredth of a meter)
...
We could also use the Pythagorean Theorem which is easier for this problem...
x^2=h^2+d^2
x^2=20^2+3^2
x^2=400+9
x=√409 meters
x≈20.22 meters...
...
We could also use the Law of Cosines:
x^2=a^2+b^2-2abcos90 (-2abcos90=0 so we essentially get what we just did above)
x^2=a^2+b^2
x^2=409
x=√409
x≈20.22 meters
