Answer:
x = 3.7
Step-by-step explanation:
Apply trigonometric function to find x
Reference angle = 24°
Opposite = x
Hypotenuse = 9
This, apply SOH:
Sin 24 = Opp/Hyp
Sin 24 = x/9
9 × Sin 24 = x
3.66062979 = x
x = 3.7 (nearest tenth)
The answer would be 2 1/3 or 2.3 repeating or 7/3
Answer: B. 10
-5C3 or 5 choose 3 refers to how many combinations are possible from 5 items, taken 3 at a time. To calculate combinations, we will use the formula nCr = n! / r! ... * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.
-10 is the total number of all possible combinations for choosing 3 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 3 can also be written as 5C3 in the format of nCr or nCk.
Step-by-step explanation: Hope this help :D
A - 3b = 4
a = b -2
(b - 2) - 3b = 4
b - 2 - 3b = 4
-2b = 4 + 2
-2b = 6
b = 6/-2
b = -3
a = b - 2
a = -3 -2
a = -5
to check: a = -5 ; b = -3 ⇒ (-5,-3)
a - 3b = 4
-5 - 3(-3) = 4
-5 + 9 = 4
4 = 4
Answer:
∠A = 88°
∠B = 92°
∠C = 88°
∠D = 92°
Step-by-step explanation:
∠A + ∠B = 180°
(2x + 4) + (3x - 34) = 180
reduce:
5x - 30 = 180
5x = 210
x = 42
∠A = 2(42) + 4 = 88°
∠B = 3(42) -34 = 92°
∠C = ∠A = 88°
∠D = ∠B = 92°