Answer:
A) 49.4
B) 40
C) 0.00539
D)583.33
Step-by-step explanation:
A)
1 meter/3.25 feet = 15.2 meters/x feet
x feet * 1 meter = 15.2 meters* 3.25 feet
x = 15.2 meters* 3.25 feet/1 feet* meter
x = 49.4
B) 1.6 kilometers/1 mile = x kilometers/25 miles
multiplying both sides by 25 miles
(1.6 kilometers/1 mile )* 25 miles =( x kilometers/25 miles) * 25 miles
=> 40 kilometers = x kilometers
x = 40
C) 0.926 meter/1 yard = 200 meters/x yards
dividing both sides 200 meters
0.926 meter/(1 yard*200 meters) = 200 meters/(x yards
*200 meters)
185.2 /1 yard = 1/ x yards
x yards = 1 yards/185.2
=> x = 0.00539
D) 1 kilometers/0.6 mile = x kilometers/350 miles
multiplying both sides by 350 miles
(1 kilometers/0.6 mile ) 350 miles= (x kilometers/350 miles) 350 miles
=> 583.33 kilometers = x kilometers
x = 583.33
15. The terminal side of 
intercepted the unit circle at:
(0,-1).
This implies that:
This implies that:
16) We have that: 
.
We illustrate this on the right triangle and apply the Pythagoras Theorem as follows:
Using the mnemonics SOH-CAH-TOAH, we have:
17. We want to verify that: 
Verifying from the LHS
Recall that from the Pythagorean identity:
18. We have:
When 
, we have
When 
, 
We can see this is not defined for all real values of x.
Answer:
D
Step-by-step explanation:
Answer:
She can create a function for the total savings in terms of the time x by adding the two functions together. The new function should look like this:
T(x)=S(x)+a(x)
So now we can substitute the given functions:
T(x)=450+6(x-2)
But this function can be simplified for it to be easier for her to calculate her total amount of savings. We can do that by distributing the 6 into the parenthesis. This is, multiply the 6 by both the x and the -2, so we get:
T(x)=450+6x-12
and now we can combine like terms. We can subtract 12 from 450 so we get:
T(x)=6x+438
And that will be our final function.
Answer:
In point form (6,-2) and Equation form: x = 6, y= -2
Step-by-step explanation:
