Answer:
23
Step-by-step explanation:
Unsure of what you mean by "reference number."
I do recognize that 11pi/9 is in quadrant III. I suspect that the so-called "reference number" is the acute angle between the end ray of 11pi/9 and pi, or, in more easily comparable numbers, between 9pi/9 and 11pi/9.
That difference is 2pi/9.
FORMULA:
Volume of pyramid = L × B × H/3
Height of pyramid = 3V/area of base(L × B)
ANSWER:
So, we have to just plug the respective value.
Height of given pyramid = √(22.1² - 14²)
- √(488.41 - 196)
- √292.41 = 17.1m
Now, Volume of given pyramid = 28 × 28 × 17.1/3
Answer:
The pair of factors in question are x = 5 and y = -7
Step-by-step explanation:
Let the factors be represented by x and y. Then x*y = -35 and x + y = -2.
Solving the first equation for y yields x = -35/y.
Substituting -35/y for x in the second equation yields
-35/y + y = -2.
Multiplying all three terms by y yields -35 + y^2 = -2y, or
y^2 + 2y - 35 = 0.
Let's solve for y. Note that this quadratic factors easily into (y + 7)(y - 5) = 0.
Then either y = -7 or y = 5. Going back to x = -35/y and letting y = -7, we find that x = -35/(-7) = 5.
The pair of factors in question are x = 5 and y = -7, or y = -5 and x = 7.
Answer:
A)
B)
C)
Step-by-step explanation:
We are given the function:
A)
Given that h(1) = 20, we want to find <em>k</em>.
h(1) = 20 means that <em>h</em>(x) = 20 when <em>x</em> = 1. Substitute:
Simplify:
Anything raised to zero (except for zero) is one. Therefore:
B)
Given that h(1) = 40, we want to find 2<em>k</em> + 1.
Likewise, this means that <em>h</em>(x) = 40 when <em>x</em> = 1. Substitute:
Simplify:
We can take the natural log of both sides:
By definition, ln(e) = 1. Hence:
Therefore:
C)
Given that h(1) = 10, we want to find <em>k</em> - 3.
Again, this meas that <em>h</em>(x) = 10 when <em>x</em> = 1. Substitute:
Simplfy:
Take the natural log of both sides:
Therefore:
Therefore: