Answer:
Step-by-step explanation:
we are given
we can simplify left side and make it equal to right side
we can use trig identity
now, we can plug values
now, we can simplify
now, we can factor it
![\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28sin%28a%29%2Bcos%28a%29%29%5B3-4%28sin%5E2%28a%29%2Bcos%5E2%28a%29-sin%28a%29cos%28a%29%5D%7D%7Bsin%28a%29%2Bcos%28a%29%7D%20)
we can use trig identity
![\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28sin%28a%29%2Bcos%28a%29%29%5B3-4%281-sin%28a%29cos%28a%29%5D%7D%7Bsin%28a%29%2Bcos%28a%29%7D%20)
we can cancel terms
now, we can simplify it further
now, we can use trig identity
we can replace it
so,
$3.23 = 4 1/5c - .55
4 1/5c = the pounds of plums, and the cost of each pound. - .55 represents subtracting the coupon.
Answer:
Step-by-step explanation:
let pickle bought by alexa =x
then according to given condition ,
pickle bought by Tom= (1/3) of Alexa
pickle bought by Tom= (1/3) x
hence also given
totall pickle cost = Tom cost + alexa cost = 56p
(1/3)x+x=56
taking L.C.M
(4/3)x=56
x=56*3/4
x=42 p
so it means,
<h2>
Alexa cost = x = 42p</h2><h2>
Tom cost = (1/3)x= (1/3)*42 = 14 p</h2>
The correct answer is A. <span>If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.
This answer is an if-and-only-if conditional statement.
The other options are not.</span>
Step-by-step explanation:
it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).
we only need to calculate all 3 areas and add them up for the total.
the area of a rectangle is
length × width
so, in our 2 cases we have
6 × 2 = 12 km²
5 × (3 + 2 + 3) = 5×8 = 40 km²
the area of a triangle is
baseline × height / 2
in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.
so, in our case
6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²
in total, the whole area is
12 + 40 + 39 = 91 km²
