Answer: h=10
Solving Steps:
45 = 1/2h x (4+5)
45 = 1/2h x 9
45 = 9/2h
10 = h
h = 10
We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
Answer:
segment SV
Step-by-step explanation:
Observing the figure
we know that
The side that is common to triangle SUV and triangle VTS is only the segment SV
There are no common angles to triangle SUV and triangle VTS
therefore
The answer is the segment SV
Here, Rational numbers are: = 2/9 and √225
& other two are irrational
Hope this helps!
Answer:
10.6 units
Step-by-step explanation:
distance formula
= √((x2-x1)²+(y2-y1)²)
= √((5+3)²+(-6-1)²
= √(8²+(-7)²)
= √ (64+49)
= √113
= 10.6
