Answer:
D. 98 ft.^2
Step-by-step explanation:
A= b*h
=13*8
=104 ft.^2
Because there is a piece missing, we know it must be under 104 ft.^2. They didn't give us enough information to find the complete area of the missing triangle, so I used the process of elimination. With the responses given and this information, we can assume that the answer is 98 ft.^2.
First we need to know how much each pen costs. So we take 11.77 and divide it by 11. That gives us 1.07 per pen. So answer choice A has 4 pens for 4.44, so we need to multiply 1.07 x 4. That gives you 4.28, so we know that isn't the correct answer. For option B, we need to multiply 1.07 x 5. That is 5.35, so that also can't be the answer. For C, we need to do 1.07 x 6, and that gives us 6.42. So we know the correct answer is option C.
Answer with Step-by-step explanation:
a.![x=b^p](https://tex.z-dn.net/?f=x%3Db%5Ep)
![y=b^q](https://tex.z-dn.net/?f=y%3Db%5Eq)
Taking both sides log
![log x=plog b](https://tex.z-dn.net/?f=log%20x%3Dplog%20b)
Using identity:![logx^y=ylogx](https://tex.z-dn.net/?f=logx%5Ey%3Dylogx)
![p=\frac{logx}{log b}=log_b x](https://tex.z-dn.net/?f=p%3D%5Cfrac%7Blogx%7D%7Blog%20b%7D%3Dlog_b%20x)
Using identity:![log_x y=\frac{log y}{log x}](https://tex.z-dn.net/?f=log_x%20y%3D%5Cfrac%7Blog%20y%7D%7Blog%20x%7D)
![log y=qlog b](https://tex.z-dn.net/?f=log%20y%3Dqlog%20b)
![q=\frac{log y}{log b}=log_b y](https://tex.z-dn.net/?f=q%3D%5Cfrac%7Blog%20y%7D%7Blog%20b%7D%3Dlog_b%20y)
b.![xy=b^pb^q](https://tex.z-dn.net/?f=xy%3Db%5Epb%5Eq)
We know that
![x^a\cdot x^b=x^{a+b}](https://tex.z-dn.net/?f=x%5Ea%5Ccdot%20x%5Eb%3Dx%5E%7Ba%2Bb%7D)
Using identity
![xy=b^{p+q}](https://tex.z-dn.net/?f=xy%3Db%5E%7Bp%2Bq%7D)
c.![log_b(xy)=log_b(b^{p+q})](https://tex.z-dn.net/?f=log_b%28xy%29%3Dlog_b%28b%5E%7Bp%2Bq%7D%29)
![log_b(xy)=(p+q)log_b b](https://tex.z-dn.net/?f=log_b%28xy%29%3D%28p%2Bq%29log_b%20b)
Substitute the values then we get
![log_b(xy)=(log_b x+log_b y)](https://tex.z-dn.net/?f=log_b%28xy%29%3D%28log_b%20x%2Blog_b%20y%29)
By using ![log_b b=1](https://tex.z-dn.net/?f=log_b%20b%3D1)
Hence, ![log_b(xy)=log_b x+log_b y](https://tex.z-dn.net/?f=log_b%28xy%29%3Dlog_b%20x%2Blog_b%20y)