If the value of cos(θ) is negative, this angle (θ) can only be in one of two quadrants; the sine quadrant or the tan quadrant. In the sine quadrant, tan(θ) must be negative, but since tan(θ) > 0, we can safely say that the angle (<span>θ) is based in the tan quadrant.
We know that cos(</span><span>θ) = - Adjacent / Hypotenuse, and in this case Adjacent = 2 and Hypotenuse = 5. Using Pythagoras' theorem, we can find the opposite side of the right angled triangle situated in the tan quadrant...
</span>Adjacent² + Opposite² = Hypotenuse²
Therefore:
2² + Opposite² = 5²
Opposite² = 5² - 2²
Opposite² = 21
Opposite = √(21)
------------
Now, sin(θ) must be negative, as the right angled triangle is in the tan quadrant. We also know that sin(<span>θ) = Opposite / Hypotenuse, therefore:
sin(</span><span>θ) = - [</span>√(21)]/[5]
Answer:
d) The possible value of n can be expressed as 15 < n < 25.
Step-by-step explanation:
Here, the given sides of the triangle are:
First Side = 20 cm
Second Side = 5 cm
Third side = n cm
Now ,as we know " SUM OF ANY TWO SIDES OF A TRIANGLE IS ALWAYS GREATER THAN THE THIRD SIDE"
⇒ Length of ( First + Second ) side > Third Side
or,( 20 cm + 5 cm ) > n cm
or, n < 25 cm
Now, from all given options,
15 < n < 25 is the MOST APPROPRIATE.
Hence, the possible value of n can be expressed as 15 < n < 25.
Answer:
-17
Step-by-step explanation:
x+5=-12
X=-12-5
X=-17
PLS MARK ME AS THE BRAINLIEST
9514 1404 393
Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
The maximum profit for 1 tour would be $2650
if there are 90 seats and 10 deluxe seats must be sold, you have to multiply 10 times 25 which gives you 250.
if there are 90 seats, 10 must be deluxe (which is cheaper), and you are trying to find the max profit for 1 tour, then 80 of the seats must be economy seats.
to find out how much 80 economy seats would cost you need to multiply 80 times 30 which gives you 2400.
then you need to add the profit of 80 economy seats and 10 deluxe seats and that would give you $2650
and $2650 would be the max profit you could make for 1 tour.
