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grigory [225]
4 years ago
15

Jonathan wants to buy a lid for his frying pan. The diameter of the pan is 10 inches. What is the approximate circumference Of a

lid that will fit his frying pan
Mathematics
1 answer:
mihalych1998 [28]4 years ago
7 0

Answer: 31.42 inches.

Step-by-step explanation:

Since the circumference of a circle equation is C = πd (also C = 2πr, in which 2*r = d), you can just substitute d = 10.

Then you get C = π*10 ≈ 31.42 inches.

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2.) Combine like terms and simplify the expression: 2x +<br> 5y+ 7x<br> Your answer
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9x + 5y

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Here, in 2x + 5y+ 7x,   the 'like terms' are 2x and 7x, and the sum of these terms is 9x.  Thus, 2x + 5y+ 7x becomes 9x + 5y.

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3 years ago
Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
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Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is 5y + 4 =(x+3)^{2}  + \frac{1}{2}

Therefore we can write 5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4  \hspace{0.3cm}   \Rightarrow  \hspace{0.2cm}  5y = (x+3)^{2} - \frac{7}{2}   \hspace{0.3cm} \Rightarrow \hspace{0.3cm}  y = \frac{(x+3)^{2}}{5} - \frac{7}{10}

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

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Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm}  y =  \pm \sqrt{5x + \frac{7}{2} }  - \hspace{0.1cm} 3 \hspace{0.1cm}

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , y =  \pm \sqrt{5x + \frac{7}{2} }  - \hspace{0.1cm} 3 \hspace{0.1cm}

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The next term in the sequence will be increased by 27. The difference between 15 and 34 is 19 The difference between 34 and 55 is 21 The difference between 55 and 78 is 23 The difference between 78 and 103 is 25 Following this pattern, the next number will be 130

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