Answer:
Approximately mMK is 53 degrees
Step-by-step explanation:
Here, we want to find the length of MK
As we can see, we have a right triangle at LNK
so
let us find the angle at L first
9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L
so the trigonometric identity that connects adjacent to the hypotenuse is the cosine
It is the ratio of the adjacent to the hypotenuse
So;
cos L = 9/15
L = arc cos (9/15)
L = 53.13 degree
Approximately, L = 53 degrees
so now, we want to get the arc length MK
We are to use the angle-arc relationship here
Using this; arc length MK is equal to the measure of L at the center which is 53 degrees
Answer:
the value in the five years is £2,621.44
Step-by-step explanation:
The computation of the value in the five years is given below:
= The value of the second car × (1 - losses percentage)^number of years
= £8,000 × (1 - 0.20)^5
= £8,000 × 0.80^5
= £8,000 × 0.32768
= £2,621.44
Hence, the value in the five years is £2,621.44
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Answer:
a) about 0.7 seconds to 5.1 seconds.
b) Listed below.
Step-by-step explanation:
h - 1 = -5x^2 + 29x
h = -5x^2 + 29x + 1
a) We will find the amount of time it takes to get to 18 meters.
18 = -5x^2 + 29x + 1
-5x^2 + 29x + 1 = 18
-5x^2 + 29x - 17 = 0
We will then use the quadratic formula to find the answer.
[please ignore the A-hat; that is a bug]
= 
= 
= 
= 
and 
= 0.6616970714 and 5.138302929
So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.
b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.
Hope this helps!
Answer:
R, T, S
Step-by-step explanation:
R+S+T=180 degrees
9x-2+4x+36+5x+20=180
18+54x=180
54x=162
x=3
R=9*3-2 (substitute x with 3)
R=25
S=4*3+36
S=48
T=5*3+20
T=35
Shortest to longest: R, T, S
