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Rus_ich [418]
3 years ago
8

The circumference of a circular mat is 13π feet. What is the area, in square feet, of the mat? Express your answer in terms of π

Mathematics
1 answer:
qaws [65]3 years ago
6 0

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=13\pi \end{cases}\implies 13\pi =2\pi r\implies \cfrac{13\pi }{2\pi }=r\implies \boxed{\cfrac{13}{2}=r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi \left(\cfrac{13}{2} \right)^2\implies A=\pi \left( \cfrac{13^2}{2^2} \right)\implies A=\cfrac{169}{4}\pi

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Does anyone know what x is - 3/4 (x+2)=6
satela [25.4K]

-10.

Solution: Multiply the negative three fourths by everything in the parenthesis.

-  \frac{3}{4} x + ( -  \frac{3}{2} ) = 6

Add the negative three halves to both sides.

-  \frac{3}{4} x  =  \frac{15}{2}

Multiply both sides by negative four thirds.

x =  - 10

4 0
3 years ago
Read 2 more answers
If a is directly proportional to b, and a = 25 when b = 35, find b when a = 40
koban [17]

If a is directly proportional to b, we have the relationship to be:

\begin{gathered} a\propto b \\ \therefore \\ a=kb \\ where \\ b=constant \end{gathered}

When a = 25, b = 35. Therefore, we can calculate the value of k as follows:

\begin{gathered} 25=35k \\ k=\frac{25}{35} \\ k=\frac{5}{7} \end{gathered}

Therefore, the relationship is given to be:

a=\frac{5}{7}b

When a = 40, we can calculate the value of b to be:

\begin{gathered} 40=\frac{5}{7}b \\ 40\times7=5b \\ 5b=280 \\ b=\frac{280}{5} \\ b=56 \end{gathered}

The value of b is 56.

7 0
1 year ago
Deanna and Alise are shopping. Deanna buys a sweater for $25 and 3 tubes of lip gloss. Alise buys a hat for $13 and five tubes o
geniusboy [140]

Answer:

$1.5

Step-by-step explanation:

So you need to subtract 25 from 13 = 12 then take 3 and 5 and add = 8 then you need to divide 12 from 8 = 1.5 so i do believe that the tubes are $1.5

I may be wrong and im sorry but pls try :3

3 0
3 years ago
Please help me with question #13
lesantik [10]
When dividing these, the powers are subtracted form each other. 
We could split up the fraction into r's, s's, and t's.
r^-3 / r^2 = r^-5 [think of it as -3 -2]
s^5 / s = s^4
t^2 / t^-2 = t^4 [2 - - 2 = 4]

A negative power places it on the bottom of the fraction and the minus sign is removed from the power. 
So the answer is A: (s^4)(t^4)/r^5
4 0
3 years ago
Pleaseeeee helppppp!!!
Delicious77 [7]
No.3


U should search it bc there's so many sites can help u just search inequality calculator

6 0
3 years ago
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