Answer: Choice B. sqrt(2)
Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how
tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1
Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long
a^2 + b^2 = c^2
(1)^2 + (1)^2 = c^2
2 = c^2
c^2 = 2
c = sqrt(2)
The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with
sec(theta) = hypotenuse/adjacent
sec(theta) = AC/AB
sec(theta) = sqrt(2)/1
sec(theta) = sqrt(2) which is why choice B is the answer
Its already in simplest form but you can convert it to a mixed fraction and get:
1 5/8
Answer:
Julia has enough gas to mow the two yards.
Step-by-step explanation:
Given:
Julia needs 
gallon of gas to mow first yard.
Julia needs 
gallon of gas to mow second yard.
Julia has a total of 
gallon of gas in in her can.
To find whether she has enough to mow both yards.
Solution:
Total gallons of gas needed to mow two yards can be found out by :
⇒ 
Taking LCD =80.
⇒ 
⇒ 
Adding the numerators.
⇒ 
⇒ 1.2125 gallons
Julia has gallon = 1.5 gallons of gas in in her can.
Since 
, thus we can say that Julia has enough gas to mow the two yards.
Justin's statement would be the best. In order to change 3/5 into 6/10, both sides would need to be multiplied by 2.
X> or equal - 10
d is the solution
