Answer:
51/2
Step-by-step explanation:
Answer:
Short leg = √3 cm
Step-by-step explanation:
the opposite angle of long leg is 60°
hypotenuse : x
sin 60° = 3/x = √3 / 2
x = (3 x 2) / √3 = 2√3
short leg length (s)
Cos 60° = 1/2 = s / x = s / 2√3
s = √3
Step-by-step explanation:
Sum of arithmetic terms = n/2 × [2a + (n - 1)×d], where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.
this is the same as n/2 × (a1 + an), because
an = a1 + (n-1)×d
so, for the series above :
a or a1 = 2
d = 7, as every new term is the previous term plus 7.
for n
37 = a1 + (n-1)×d = 2 + (n-1)×7
and now solve for n
35 = 7n - 7
42 = 7n
n = 6
so, the sum of all terms is
6/2 × (2+37) = 3×39 = 117
Answer:
x = 9.7
Step-by-step explanation:
Reference angle (θ) = 68°
Opposite = 24
Adjacent = x
Apply, the trigonometric function, TOA which is:
Plug in the values
Multiply both sides by x
Divide both sides by tan 68
x = 9.69662942
x = 9.7 (nearest tenth)
