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2 years ago

A circle with circumference 20 has an arc at 72 central angle. what is the length of the arc

Mathematics

1 answer:

Vsevolod [243]2 years ago

5 0

Answer:

4 units

Step-by-step explanation:

$\because \: l = \frac{ \theta}{360 \degree} \times c \\ \\ \therefore \: l = \frac{72 \degree}{360 \degree} \times 20 \\ \\ \therefore \: l = \frac{72 \degree}{18\degree} \\ \\ \therefore \: l = 4 \: units$

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Arturiano [62]

Answer:

24 of them should be right handed

Step-by-step explanation:

This is because 1+4=5 so in each grouping of students there are 5 students. Divide the total number of students by the number of students in one group it comes to be 6. So also 6(4) is 24 so your total will be 24.

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3 years ago

What are the values of x and y in the matrix equation below?

choli [55]

Answer : value of x and y in the matrix equation is:

x = -3

y = +4, -4

Step-by-step explanation :

The matrix expression is:

$\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

First we have to add left hand side matrix.

$\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

Now we have to add left hand side terms.

$\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

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Now we have to equating left hand side matrix to right hand matrix, we get:

$\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4$

Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.

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3 years ago

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MAXImum [283]

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