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julia-pushkina [17]
3 years ago
5

What is 1 to 3 as a ratio

Mathematics
1 answer:
Hoochie [10]3 years ago
3 0
The ratio of 1 to 3 is 1 : 3 or 1/3 (1 over 3)
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For the problem below, θ is a central angle in a circle of a radius r. Find the length of arc s cut off by θ.
mixas84 [53]

Answer:

Here, we will use the formula from trigonometry which defines a radian

we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed

hence, if the radius is r and the arc is r, the angle (in radians) will be 1

if the radius is r and the arc is 2r, the angle in radians will be equal to:

length of arc / radius = 2r/r = 2 radians

I believe this will explain what is actually happening in these type of questions

So, the equation:

Θ(in radians) = s / r (where the length of arc is s and the radius is r)

π/4 = s / 12

s = 3π or 9.42 inches

4 0
3 years ago
Kylie buys a ceramic case priced at $75. Shipping and handling are an additional 9 2/5% of the price. How much shopping and hand
salantis [7]
\bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
75&100\\
x&9\frac{2}{5}
\end{array}\implies \cfrac{75}{x}=\cfrac{100}{9\frac{2}{5}}\implies \cfrac{75}{x}=\cfrac{100}{\frac{9\cdot 5+2}{5}}

\bf \cfrac{75}{x}=\cfrac{\frac{100}{1}}{\frac{47}{5}}\implies \cfrac{75}{x}=\cfrac{100}{1}\cdot \cfrac{5}{47}\implies \cfrac{75}{x}=\cfrac{500}{47}\implies 75\cdot 47=500\cdot x
\\\\\\
\cfrac{3525}{500}=x\implies \cfrac{141}{20}=x\implies 7.05=x
7 0
3 years ago
If g is the inverse of the function f(x) = sqrt(x - 6) - 10 , which of the following is g?
iren2701 [21]

Answer:

  • g(x) = x² + 20x + 106

Step-by-step explanation:

<u>Given:</u>

  • f(x) =\sqrt{x-6}-10

If g(x) is the inverse of f(x), find it.

<u>Swap x with g(x) and f(x) with x:</u>

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<u>Solve for g(x):</u>

  • x + 10 = \sqrt{g(x)-6}
  • (x+10)^2=g(x)-6
  • g(x) = x^2+20x + 100+6
  • g(x) = x^2+20x + 106

3 0
2 years ago
What is the value of x to the nearest tenth?
Stolb23 [73]
X = 6 / tan(67)

x = 2.546

rounded to nearest tenth x = 2.5
7 0
3 years ago
I DONT PAY ATTENTION PLEASE HELP ME AND EXPLAIN IF YOU FEEL LIKE IT
Molodets [167]

Answer: -5x

Step-by-step explanation: combine like terms hope this helps!

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3 years ago
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