Answer:
cost of knife = £5.52
Step-by-step explanation:
Assume:
Cost of Knife = a
Cost of Spoon = b
a = 3b ----------------------(1)
12a + 9b = £82.80 -------(2)
Substitute equation (1) in equation (2)
12 * (3b) + 9b = £82.80
36b + 9b = £82.80
45b = £82.80
b = £1.84
Therefore, cost of knife = a = 3 * £1.84 = £5.52
Answer- 46/12 sipplify you get 23/6= 3 5/6
The product of 7 and a number n
N times 7 equals a number
so u can do
7xn=v
Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
Answer:
Part A: f(4) = 2
Part B: k = -7
Step-by-step explanation:
f(4) simply means what the y-value of the graph is when x = 4.
The parabola crosses the coordinate (4,2). In other words, when x = 4, the graph equals 2.
Part B asks to solve the equation: f(4) + k = -5
We already know from Part A that f(4) = 2. So simply substitute 2 for f(4):
2 + k = - 5
Substract 2 from both sides:
k = -7