The right symbol means that angle measures 90 degrees and we know the other angle equals 40 degrees. all triangle angles equal to 180 so we add everything.
90+40+x+59=180
189 +x =180
we subtract 189
x= -9
A and B are complementary, that means m∠A+m∠B=90
Recall that sinA=cos(90-A), if sinA=8/9, cos(90-A) is also 8/9
therefore, cosB=cos(90-A)=sinA=8/9<span />
The answer is b. Multiplication from left to right.
Pemdas- exponent, multiplication, division.
The number added to the polynomial is ![\frac{441}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B441%7D%7B4%7D)
Explanation:
The given polynomial is ![x^{2} -21x](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-21x)
We need to determine the number that is added to the polynomial to complete the square.
The last term of the polynomial can be determined by dividing the term 21 by 2 and then squaring the term.
Thus, we have,
Last term = ![\frac{21}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B2%7D)
Now, squaring the term, we have,
Last term = ![(\frac{21}{2})^2=\frac{441}{4}](https://tex.z-dn.net/?f=%28%5Cfrac%7B21%7D%7B2%7D%29%5E2%3D%5Cfrac%7B441%7D%7B4%7D)
Thus, the number added to the polynomial by completing the square is ![\frac{441}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B441%7D%7B4%7D)
Answer:
c)A cylinder with a volume of π(w³ +2w² )in³
where w represents the width of the cylinder.
Step-by-step explanation:
A cylinder with a volume of π(w³ +2w² )in³
where w represents the width of the cylinder.
The volume of a cylinder is given by V=Bh or V=πr²h
where B is the area of the base and h is the height of the cylinder.
V=πr²h-------equation1
V= π(w³ +2w² )--------- equation2
Comparing equation 1 and equation 2
πr²h=π(w³ +2w² )
r²h=(w³ +2w² )
r²h= w²(w +2 )
Taking w² common leaves w+2 which gives the height or length of the cylinder.
Therefore radius = width and height = length which gives the volume of the cylinder.