Find YZ and WZ in rectangle WXYZ.

g100num [7]

First it shows 33 points and ok

8 0

3 years ago

The marketing firm in problem 1 has decided that age may also have an affect on attention span. They decide to assign the childr

WARRIOR [948]

Answer:a).it is an experiment

b).it is randomized.

c).The response variables are the various age groups;5--6,7--8,9--10

d)

Step-by-step explanation:

8 0

3 years ago

What is the complete factorization of the polynomial below?

aksik [14]

Option A: $(x+1)(x+3 i)(x-3 i)$ is the complete factorization of the polynomial $x^{3} +x^{2} +9x+9$

Explanation:

The polynomial is $x^{3} +x^{2} +9x+9$

Now, we shall find the complete factorization of the polynomial.

Let us group the common terms, we have,

$\left(x^{3}+x^{2}\right)+(9 x+9)$

Taking out the common terms,

$x^{2} (x+1)+9(x+1)$

Factor out $x+1$ from both the terms, we have,

$\left(x^{2}+9\right)(x+1)=0$

The term $\left(x^{2}+9)\right.$ can be factored as

$\begin{aligned}x^{2}+9 &=0 \\x^{2} &=-9 \\x &=\pm 3 i\end{aligned}$ and $\begin{aligned}x+1 &=0 \\x &=-1\end{aligned}$

Thus, the roots are $x=\pm 3 i$ and $x=-1$

These roots can be written as $(x+1)(x+3 i)(x-3 i)$

Thus, the complete factorization of the polynomial is $(x+1)(x+3 i)(x-3 i)$

8 0

3 years ago

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A dry Waller wants to order core board for a 15-story elevator shaft. Each floor uses 18.5 sheets.Calculate the number of boards

dybincka [34]

Answer:

305.25

Step-by-step explanation:

18.5 for one floor, multiply by 15 to get the amount for 15 floors: 18.5*15 = 277.5 sheets

We need to add 10% for waste, meaning 277.5 plus the waste: 1.1*277.5 = 305.25

6 0

2 years ago

How would you verify the trigonometric identity 2x = 2sinx cosx

dem82 [27]

Step-by-step explanation:

Hi, there!!

I hope you mean sin2x=2sinx . cosx

so, let's begin in a simple way; by adding, alright:

sin2x= sin(x+x) (as 2x=x+x).

now, let's use compound formula for sin,

so, we get:

sin (x+x)= sinx.cosx + cosx. sinx (as sin(A+B)=sin A. cosB + cosA . sinB)

or, sin (x+x)=2sinx.cosx (adding both).

Therefore, sin 2x = 2sinx. cosx.

Hope it helps..

5 0

3 years ago

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