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3 years ago

If r=1 and 0=5pi/6 what is the approximate arc length?

Mathematics

2 answers:

Oksana_A [137]3 years ago

6 0

Answer:

2.618

note: using radian measure, the arc length is

the angle measure (assuming a unit circle)

5 $\pi$ /6 is the answer =

2.618

Step-by-step explanation:

dem82 [27]3 years ago

5 0

Answer:

B. 2.618 units

Step-by-step explanation:

the arc length = (5π/6) / 2π × 2×3.14×1

= 5/12 × 6.28

= 31.4/ 12

= 2.618 units

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A shipment of 20 similar laptop computers to a retail outlet contains 3 that are defective. If a school makes a random purchase

Sholpan [36]

Answer:

P(X=0) = 0.7158

P(X=1) = 0.2684

P(X=2) =0.0158

Step-by-step explanation:

Number of defective laptops = 3

Number of normal laptops = 17

If the school chooses 2 laptops from this lot, the number of defectives (X) could be 0, 1, or 2.

For zero defectives:

$P(X=0) = \frac{17}{20} *\frac{16}{19}\\P(X=0) = 0.7158$

For one defective:

$P(X=1) = \frac{17}{20} *\frac{3}{19}+\frac{3}{20} *\frac{17}{19}\\P(X=1) = 0.2684$

For two defectives:

$P(X=2) = \frac{3}{20} *\frac{2}{19}\\P(X=2) = 0.0158$

8 0

4 years ago

Is it possible to draw a triangle with numbers 5,6,11

Tatiana [17]

Answer:

Step-by-step explanation:

Let's use the Pythagorean Theorem. For those of you that don't know, it is $a^2 + b^2 = c^2\\$ .

11 is the bigger side in this case, so our formula would go like this: $5^2 + 6^2 = 11^2\\$ .

We now calculate to see if this is true.

25 + 36 $\neq$ 121

Therefore, the answer is wrong.

8 0

3 years ago

Read 2 more answers

For each ordered pair (x,y) determine whether it is a solution to the inequality 7x+2y>_26

MA_775_DIABLO [31]

The inequality is given as,

$7x+2y>-26$

Consider that any ordered pair (x,y) is said to be the solution of the inequality if the ordered pair gives a true result when substituted in the inequality.

Consider the ordered pair (4,-9),

$\begin{gathered} 7(4)+2(-9)>-26 \\ 28-18>-26 \\ 10>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (4,-9) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (4,-9).

Consider the ordered pair (3,4),

$\begin{gathered} 7(3)+2(4)>-26 \\ 21+8>-26 \\ 29>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (3,4) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (3,4).

Consider the ordered pair (-4,0),

$\begin{gathered} 7(-4)+2(0)>-26 \\ -28+0>-26 \\ -28>-26 \end{gathered}$

Clearly, the result is false as -28 is not actually greater than -26.

So it can be concluded that the ordered pair (-4,0) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-4,0).

Consider the last ordered pair (-6,8),

$\begin{gathered} 7(-6)+2(8)>-26 \\ -42+16>-26 \\ -26>-26 \end{gathered}$

Note that the numbers on both sides of the inequality are identical. So there should be the symbol of equality, not inequality. So, it can be concluded that this ordered pair (-6,8) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-6,8).

4 0

2 years ago

Are the sets equivalent <br>A{12,20,21,22,23}<br>B{18,19,20,21,22}

Bingel [31]

hey mate:-

hey mate:- A{12,20,21,22,23}

here number of elements in A= 5

B{18,19,20,21,22}

here number of elements in B= 5

number of elements in A= number of elements in B= 5

as we know

when number of elements are same

given

here number of elements in A=here number of elements in B

there fore these are equivalent sets..,,

5 0

3 years ago

If two lines are parallel, their slopes will be the same. The slope is represented by the m in y=mx+b

Georgia [21]

This phrase is very true

3 0

3 years ago