Answer:
135
Step-by-step explanation:
Given that :
Total score obtained by Peter, Jan and Maxim = 269
Let :
Peter's score = x
Jan's score = y
Maxim's score = z
x + y + z = 269
x > (y + z)
For x to be greater Than y + z ;
Then x > (269 / 2) ; x > 134.5
The least possible x score is 135
Hence, Peter's least possible score is 135.
Answer:
or 8:17
Step-by-step explanation:
For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-
![\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Csin%20x%3D%5Cfrac%7B%5Ctext%7Bside%20opposite%20to%20x%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
Given: A right triangle with hypotenuse = 68 units
The side adjacent to S = 60
Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get
Thus, the side opposite to S = 32 units
Now, the trigonometric ratio for sin S is given by :-
![\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}](https://tex.z-dn.net/?f=%5Csin%20S%3D%5Cfrac%7B%5Ctext%7Bside%20opposite%20to%20S%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%5C%5C%5C%5C%5CRightarrow%5Csin%20S%3D%5Cfrac%7B32%7D%7B68%7D%3D%5Cfrac%7B8%7D%7B17%7D)
Hence, the trigonometric ratio for sin S =
or 8:17
Answer:
$360. (I believe so, anyways.)
Step-by-step explanation:
Original Price x Discount % / 100
Discount = 600 × 40/100
24000/100
$600 - $240
Final Price = $360
That makes no sense. Can you rephrase the question?
Answer:
, the third one
Step-by-step explanation:
Explaining the sine function:
The sine function is defined by:
![S = Asin(p(x - x_{0})) + V](https://tex.z-dn.net/?f=S%20%3D%20Asin%28p%28x%20-%20x_%7B0%7D%29%29%20%2B%20V)
In which A is the amplitude,
is the period,
is the horizontal shift and V is the vertical shift.
So, in your problem:
The amplitude is 4, so A = 4.
The period is
, so
.
There is no horizontal shift, so
.
The vertical shift is −3, so V = -3.
The sine function that represents these following conditions is
, the third one