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2 years ago

Answer question number 5 only.

Mathematics

1 answer:

irinina [24]2 years ago

6 0

Answer:

θ = π<em>n</em>

<em />

Step-by-step explanation:

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What is the exact radian measure of an angle of 132

Pepsi [2]

Since we know that in π radians there are 180°, thus how many radians in 132°?

$\bf \begin{array}{ccll}
de grees&radians\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
180&\pi \\
132&x
\end{array}\implies \cfrac{180}{132}=\cfrac{\pi }{x}\implies x=\cfrac{132\cdot \pi }{180}\implies \stackrel{simplified}{\cfrac{11\pi }{15}}$

6 0

3 years ago

Use the following trinomial to answer the questions. x^2-6x-27 When going through the process of determining the factors, the tw

Sauron [17]

Answer:

The factors are 3 and -9

Step-by-step explanation:

The given trinomial is $x^2-6x-27$ .

We need to find two factors. We know that,

3(9) = 27

So,

$x^2-6x-27$ can be written as :

$x^2+3x-9x-27$ as two factors add up to get -6 and multiply to get -27.

Hence, the factors are 3 and -9.

5 0

2 years ago

Write the equation of a hyperbola with vertices (0, -4) and (0, 4) and foci (0, -5) and (0, 5).

andre [41]

Check the picture below. So, more or less looks like so.

notice, the center is clearly at the origin, and notice how long the "a" component is, also, bear in mind that, is opening towards the y-axis, that means the fraction with the "y" variable is the positive one.

Also notice, the "c" distance from the center to either foci, is just 5 units.

$\bf \textit{hyperbolas, vertical traverse axis }\\\\
\cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
\begin{cases}
center\ ({{ h}},{{ k}})\\
vertices\ ({{ h}}, {{ k}}\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{{{ a }}^2+{{ b }}^2}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \begin{cases}
h=0\\
k=0\\
a=4\\
c=5
\end{cases}\implies \cfrac{(y-{{ 0}})^2}{{{ 4}}^2}-\cfrac{(x-{{ 0}})^2}{{{ b}}^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{b^2}=1
\\\\\\
c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\\\\\\
\sqrt{5^2-4^2}=b\implies \boxed{3=b}
\\\\\\
\cfrac{y^2}{16}-\cfrac{x^2}{3^2}=1\implies \boxed{\cfrac{y^2}{16}-\cfrac{x^2}{9}=1}$

7 0

3 years ago

If a cyclist in the Tour de France traveled southwest for 12,250 meters in one hour, what would the velocity of the cyclist be i

Serjik [45]

Transferring Mph to Mps, your answer would be: 3.4027778 meters per second

3 0

3 years ago

Identify the area of a regular hexagon with side length 14 in. rounded to the nearest tenth.

kakasveta [241]

$\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}ns^2\ cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
s=\textit{length of a side}\\
n=\textit{number of sides}\\
\frac{180}{n}=\textit{angle in degrees}\\
----------\\
s=14\\
n=6\leftarrow hexagon
\end{cases}
\\\\\\
A=\cfrac{1}{4}\cdot 6\cdot 14^2\cdot cot\left( \frac{180}{6} \right)$

make sure your calculator is in Degree mode

4 0

3 years ago

Read 2 more answers