Answer:
sec(θ) = -5/2
Step-by-step explanation:
It can be helpful to draw a triangle with sides that produce the given ratio. See the attachment. Then the third side of the triangle can be found using the Pythagorean theorem, if necessary. Finally, the ratio for the desired trig function can be determined.
sec = hypotenuse/adjacent
sec(θ) = 5/-2 = -5/2
__
If you don't want to do that, or if you have various trig identities memorized, you can use the appropriate trig identity.
sin² + cos² = 1
so ...
sec² = 1/cos² = 1/(1 -sin²)
sec = 1/√(1 -sin²)
Since the tangent is positive, this is a third-quadrant angle. The secant will be negative.
sec(θ) = -1/√(1 -(21/25)) = -√(25/4) . . . . . filling in the given value for sin(θ)
sec(θ) = -5/2
It should be k= 4 or -1/3
Answer:
£ 631
Step-by-step explanation:
Hi this is a simple mathematics issue.
First, let's imagine what is 3%. '3 percents' means 3/100. If your family have 100 apples and you have 3 apples, that means you have 3% of your family apples.
Now, get back to this problem. We need to find the price before increase. Let's say the price was £ X. Now we will find the X number.
It's said that the price was increased by 3%. That means they took 3% of X and added that amount to X to have the new price : £ 650. That means we have this equation :
650 = X + 3%×X
Let's make it easier to look :
650 = X + 3/100 ×X
650 = X×( 1+ 3/100)
= X × 103/100
So we can see 650 is equaled to X multipled by 103/100.
To find the correct answer, simply divide 650 by 103/100.
*A hint: When you divide a number by a fraction, you can simply put the number multiplied by the "flipped" fraction .
Hope you learn with Joy and High Grades !!!
Answer:
y = 5
Step-by-step explanation:
3(у - 3) - 2(у -4) = 4
Distribute
3y -9 -2y +8 =4
Combine like terms
y -1 =4
Add 1 to each side
y-1+1 = 4+1
y = 5
