Answer:
∠ D = 127°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ D is an exterior angle of the triangle , then
∠ D = 85° + 42° = 127°
x:14 = 7:8
x:14 = x/14
7:8 = 7/8
x/14 = 7/8
Multiply the numerator of the 1st ratio with the denominator of the 2nd.
And multiply the numerator of the 2nd ratio with the denominator of the 1st.
Doing so, we get -
x * 8 = 7 * 14
So, 8x = 7 * 14
8x = 98
We divide 98 by 8 (transposition method)
x = 98/8
Therefore, x = 12.25
96+24^6+9
105+24^6
=163.78775
Answer:
Step-by-step explanation:
To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
5000=160²×sin 2θ
0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63
