Answer:
A
Step-by-step explanation:
We are given:

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.
And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.
Cosecant is given by the hypotenuse over the opposite side. Thus:

Since θ is in QIII, cosecant must be negative:

Our answer is A.
x = number of packages he bought
y = number of popsicles in each package
Here are the two equations:
xy = 54
x = 3 + y
Using the substitution method, you can solve them to find x and y.
(3 + y)y = 54,
3y + y^2 = 54
y^2 + 3y - 54 = 0
Solve the quadriatic equation:
(y +9)(y - 6) = 0
y = -9, 6.
Plug y into: xy = 54
x(-9) = 54, x = -6.
x(6) = 54, x = 9.
So he bought 9 packages of popsicles, bc you can't bye -6 packages.
Answer: if you’re talking about simplifying then it would be 2\5.
Step-by-step explanation: all you do is divide two on 4 and 10 and your simplified fraction would be 2/5
Answer:
The graph relates the temperature change
y
(in degrees Fahrenheit) to the altitude change
x
(in thousands of feet).
a. Is the relationship proportional? Explain.
b. Write an equation of the line. Interpret the slope.
c. You are at the bottom of a mountain where the temperature is
74\F
. The top of the mountain is 5500 feet above you.
What is the temperature at the top of the mountain?
Step-by-step explanation:
Answer:
c
Step-by-step explanation: