Answer:
2814.87
Step-by-step explanation:
Formula = π * r (squared) * height
Radius = 8cm
Height = 14cm
Answer = π*64*14, or 2814.87 (to the nearest hundredth)
We first solve the angle from the given sinθ=3/5. Using a calculator in degrees mode, theta is equal to 36.87 degrees. Hence 2 theta is equal to 73.74 degrees. The value of cosine 73.74 degrees is equal to 7/25. This is the final answer.
The equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
<h3>How to determine the equation?</h3>
The attached table of values represents the missing piece in the question.
Start by calculating the rate of change using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (14.77 - 10.55)/(7- 5)
Evaluate
m = 2.11
The equation is then calculated using:
y = m(x - x1) + y1
This gives
y = 2.11(x - 5) + 10.55
Evaluate
y = 2.11x - 10.55 + 10.55
y = 2.11x
Hence, the equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
Read more about linear equations at:
brainly.com/question/14323743
#SPJ1
Given:
The system of equation:
-------- (1)
--------- (2)
To find the values of x and y.
We will use substitution method.
From (1) we get,

We will put the value of y in (1) and we get,

or, 
Now we will apply middle term factor method.




so, x = 4 and 1
Now,
Substitute x = 4 in (1) we get,

And putting x = 1 in (1) we get,

Hence, the solution of the given system of equation is (4,-8) and (1,-5)
Thus, Option A is the correct answer.