Answer A: Theoretical.
There is 1 "z" in the alphabet. Therefore the probability of choosing a "z" is 1/26
Answer:
![k=-9](https://tex.z-dn.net/?f=k%3D-9)
Step-by-step explanation:
According to the Polynomial Remainder Theorem, when dividing a polynomial P(<em>x</em>) by a binomial in the form (<em>x - </em>a), the remainder will be given by P(a).
We are given the polynomial:
![f(x)=x^2+kx+11](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2Bkx%2B11)
And it is divided by the binomial:
![x+1](https://tex.z-dn.net/?f=x%2B1)
The remainder is 21.
Rewriting the divisor yields:
![x-(-1)](https://tex.z-dn.net/?f=x-%28-1%29)
So, <em>a</em> = -1.
Then by the PRT:
![f(-1)=(-1)^2+k(-1)+11=21](https://tex.z-dn.net/?f=f%28-1%29%3D%28-1%29%5E2%2Bk%28-1%29%2B11%3D21)
Simplify:
![1-k+11=21](https://tex.z-dn.net/?f=1-k%2B11%3D21)
Solve for <em>k: </em>
<em />
<em />
The value of
is 0.
Explanation:
The expression is ![\log _{4} 1](https://tex.z-dn.net/?f=%5Clog%20_%7B4%7D%201)
Now, we shall find the value of ![\log _{4} 1](https://tex.z-dn.net/?f=%5Clog%20_%7B4%7D%201)
Let us apply the log rule :
This means that the logarithm of 1 is always zero regardless of the base of the logarithm. This is because, we know that any number whose power is zero always equal to one.
Since , the expression is of the form
, we have,
![\log _{4} 1=0](https://tex.z-dn.net/?f=%5Clog%20_%7B4%7D%201%3D0)
Thus, the value of
is 0.
Answer:
x=4♢
Step-by-step explanation:
When you add the 4 you get 4 angles which counts as 4 ♢
Hope this helps! Pls mark as brainliest! <3
Answer:the angle that the ladder makes with the ground is 57.32 degrees
Step-by-step explanation:
The diagram of the right angle triangle ABC formed by the ladder and the wall is shown in the attached photo. The angle that the ladder makes with the ground is represented as #. To determine #, we will apply trigonometric ratio
Cos # = adjacent side/hypotenuse
From the given information,
Hypotenuse = 25
Adjacent 13.5
Cos# = 13.5/25 = 0.54
# = Cos^(-1)(0.54)
# = 57.32