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3 years ago

What is the arc length of an angle of 7π6 radians formed on the unit circle?

1 answer:

4 0

The formula for arc length is S = ∅*r.
Where S is the arc length, ∅ is the angle measure in radians, and r is the radius of the circle.
S = *1
S =

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Could someone please help me with this? We are meant to use Pythagoras theorem to solve to solve this question

bulgar [2K]

Answer:

3.92*10^3mm

Step-by-step explanation:

In the diagram it gives you 7900mm. There is a figure which was given underneath written 900mm. use 7900 to subtract 900 you will get 7000. Then you can use the Pythagoras theorem to solve it, with a= height, b=5800mm and c=7000mm where, a^2+b^2=c^2.

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3 years ago

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Leo works at McDonalds, and gets paid $8.50 hr. He passed his store’s inspection and received a $100 bonus.

Semmy [17]

Answer:

$8.50hr+ $100=x

Step-by-step explanation:

His $8.50 per hour is given to him plus $100 bonus.

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3 years ago

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What is the solution to the following system?

leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

$\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]$

Now I will shift rows to make my pivot point (top left) a 1 and so:

$\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]$

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]$

$\frac{R_2}{9}=R_2$

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]$

4R2+R1=R1 , -14R2+R3=R3

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]$

$-\frac{9}{20}R_3=R_3$

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]$

$-\frac{4}{9}R_3+R_2=R2$ , $-\frac{7}{9}R_3+R_1=R_1$

$\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]$

Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

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3 years ago

On a local sports team 20% of 50 players are left-handed how many left-handed players are on the team

mr Goodwill [35]

Answer:

10 players

Step-by-step explanation:

so a percentage is really just like a fraction or decimal so were going to turn it into a decimal by moving the decimal point two places to the left making it .20 then to figure out the answer we're going to multiply 50 by .20 to get 10

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3 years ago

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Identify the mapping diagram that represents the relation and determine whether the relation is a function. {(-8, -6), (-5, 2),

My name is Ann [436]

What is the primary responsibility of the legislative branch

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3 years ago

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