Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tan²x + 1 = sec²x ⇒ tan²x = sec²x - 1
Consider the left side
sec²x × tan²x + sec²x
= sec²x(sec²x - 1) + sec²x ← distribute and simplify
= 
x - sec²x + sec²x
= x = right side ⇒ verified
If there are any three points on the graph that are not on the same line, the function is nonlinear. Such points might be ...
... (-5, 1), (-4, 0), (-3, 1)
Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
Answer: 12x squared
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sorry, because of lack of punctuation and organization, I cannot determine with any confidence the price per kilo of each of the rices.
He will spend the price of one kg of African rice plus twice the price of Basmati rice.
IF
African rice = $1.69/kg
and
Basmati rice = $3.05/kg
THEN
Cost = 1.69 + 2(3.05) = $7.79
