Answer:
The trigonometric equation (sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^3 can be simplified by:Using x for Θ: (sinx - cosx)^2 - (sinx + cosx)^2 = (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x) = - 2 sinx cosx - 2 sinx cosx = - 4 sinx cosx = - 2sin(2x)
Step-by-step explanation:
Answer:
At least 6 shirts should be brought to avail a total reduction of Rs 40.
Step-by-step explanation:
The marked price of each shirt = Rs 28
Discount offered = 25%
So, 25% of marked price 28 = 
⇒Reduction on each shirt is Rs 7
Now, total amount reduction needed = Rs 40
So, number of shirts purchased = 
= 40 Rs /7 Rs = 5. 71 ≈ 6
So, at least 6 shirts should be brought to avail a total reduction of Rs 40.
Answer: 0.75
Step-by-step explanation:
We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.
We now have a triangle with the values of:
x = 4
y =3
h^2= 4^2 + 3^2
h^2 = 16 + 9
h^2 = 25
h = 5
h = 5
Tangent = opposite/adjacent
= y/x
= 3/4
= 0.75
let h be the number of hours then
A → C = 150h + 250 ( where C is charge )
B → C = 175h + 150
for 26 hours
A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150
B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700
Attorney A is cheaper for 26 hours, thus better deal
Equate the 2 equations to find hours they charge the same
175h + 150 = 150h + 250 ( subtract 150h from both sides )
25h + 150 = 250 ( subtract 150 from both sides )
25h = 100 ( divide both sides by 25 )
h = 4 ← number of hours when charges for both are equal
Thus Attorney A becomes a better deal at 5 hours
Answer:
area = 10 units ^2
Step-by-step explanation:
rectangular area = 2x2 = 4
left side triangle area = 2x2x0.5 = 2
right side triangle area = 4x2x0.5 = 4
4+2+4 = 10
