Here is an example: If you go 100 miles every 2 hours, what is the unit rate? The unit rate would be 50 miles. Here is all you have to do. You divide (in my case) miles by (in my case) 2 hours, which equals 50 miles. Does that help?
Answer:
Both of these curves are equal to each other.
Step-by-step explanation:
We have

and

Solve for t in the x function

Subsitue this in for t.

We get
a square root function shifted to right 4 units and stretched vertically by a factor of 2.
We can also prove this by graphing.
Answer:
(i) Equation
(ii) 10 weeks
Step-by-step explanation:
The scenario is an equation and not an inequality , this is because the number of sit - ups Amelia planned to do is specific , which is 50 , had it been the question used the word like at least , at most 50 , it would have been an inequality.
The question is an example of Arithmetic sequence
From the statement ;
The first term = 5
The common difference = 5 ( since Amelia planned to add 5 more sit - ups to her training schedule each week )
The formula for the nth term of an Arithmetic sequence is given by :
= a + (n- 1 )d
= 50
a = 5
d = 5
n = ?
substituting the values , we have
50 = 5 + (n - 1 ) x 5
50 = 5 + 5n - 5
50 = 5n
n = 10
Therefore , it will take Amelia 10 weeks to reach her goal of 50 sit - ups
If u can plz give more information I am more than glad to help out
Answer:
as below
Step-by-step explanation:
to find the height of the pole recall the relationship of sin cos and tan to the triangle with this helpful mnemonic SOH CAH TOA
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Opp / Adj
we will need to solve two triangles and subtract them.
one is the 15° one of the slope of the road and the other is the 57° one that is the angle of the sun. sooooo,
lets solve the 15° one first. We are told that the adj side is 75'
since we know the angle and the adj side and we want to find the Opp side let's use Tan b/c it has all of those in it :)
Tan(15) = Opp / 75
75*Tan(15) = Opp ( I'll put my calculator to work for this )
20.096 = Opp
that's the height of the road to the bottom of the flag pole along that flag pole axis into the ground
next lets solve the 57° triangle in the exact same way
Tan(57) =Opp / 75
75*Tan(57) = Opp
115.4898 = Opp
the tall triangle is the one that goes all the way into the ground, the small one is the one that is under the ground
so subtract the small one from the big one to find the height of the flag pole above the ground
115.4898-20.096 = 95.3938
so the flag pole is about 95.4 feet tall
:o that's pretty tall :