Please visit this link: https://youtu.be/_0Ft9HdNg5c
Answer:
True
Step-by-step explanation:
In this question, we are expected to evaluate the validity of a particular proposition.
To evaluate this validity, what we do is that we check if the calculations as projected on the question are correct.
Let’s proceed!
Number of dogs to cat ratio = 4:5
Number of animals is 270;
Number of dogs will be 4/9 * 270 = 120
Number of cats will be 5/9 * 270 = 150
Now let’s check if the number of dogs is 4/5 that of cats.
Obviously 4/5 * 150 = 120
This makes true, the statement
x^2 – 6x = 20
b=-6
to complete the square, add (b/2)^2 to each side
(b/2)^2 = (-6/2)^2=(-3)^2 =9
x^2 – 6x +9 = 20+9
(x+b/2) ^2 =29
(x-3)^2=29
take the square root of each side
x-3 = +- sqrt (29)
add 3 to each side
x = 3+- sqrt (29)
x = 3 + sqrt(29), x- sqrt(29)
Answer: -2.39, 8.39
Heyy this is a super easy problem, and I’m here to help!
Based off our problem here we have a trapezoid. And we are finding AREA. The formula for area of a trapezoid is 1/2h(base 1 + base 2).
Our bases in this problem are 60.5 and 75.5. We are going to addd these together and we’re going to get, 136.
Now, we must multiply 136, by its height(16). 136 x 16 = 2176.
Lastly we are going to divide by 2 and get our final answer of 1088 feet cubed.