<h3>
Answer:</h3><h3>cos(-t) = -4/9</h3><h3>sec(-t) = -9/4</h3>
Explanation:
Since cosine is an even function, we can say cos(-t) = cos(t) for all values of t. So this explains why cos(-t) = cos(t) = -4/9. No change happens.
To find the secant value, we apply the reciprocal. This is because sec = 1/cos. So that's how -4/9 flips to -9/4.
In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:
let x the number of pencils
y the number of pens
From the statement, 9 more pencils then pens in a container,
x = y + 9
From the statement, there are 25 writing utensils in the container in all,
x + y = 25
We use substitution method to calculate for x and y,
y + 9 + y = 25
2y = 16
y = 8
x = 17
Therefore, there are 8 pens in the container and 17 pencils.
Answer:
<h3>p = 131.25</h3>
Step-by-step explanation:
The variation p varies directly with T is written as
p = kT
where k is the constant of proportionality
To find p when T =500 we must first find the formula for the variation
That's
when p = 105 and T = 400
105 = 400k
Divide both sides by 400
<h3>
</h3>
So the formula for the variation is
<h2>
</h2>
when
T = 500
Substitute it into the above formula
That's
Simplify
The final answer is
<h3>p = 131.25</h3>
Hope this helps you
Answer:
angle KJG = angle FGJ (by alternateinteriorangle)
