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GaryK [48]
2 years ago
13

Length of an arc of a sector of angle pº of a circle with radius Ris

Mathematics
1 answer:
Inga [223]2 years ago
5 0

Answer:

Answer is [A]

Step-by-step explanation:

Arc length = 2πr × (θ/360) where θ is the angle of sector which is p in the question and the radius is still the symbol R

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Is -6.743743… a rational or irrational number?
yaroslaw [1]

It's rational because it contains a repeating digit pattern, 743 (first option).

In particular, if

<em>x</em> = -6.743743…,

then

1000<em>x</em> = -6,743.743743… .

Subtracting, we can eliminate the trailing end and solve for <em>x</em> exactly:

1000<em>x</em> - <em>x</em> = -6,743.743743… - (-6.743743…)

999<em>x</em> = -6,737

<em>x</em> = -6,737/999

8 0
3 years ago
Find the Total surface area of a cone if it's slant height is 21m and diameter of it's base is 24m.
kherson [118]
<h3><u>Answer :- </u></h3>

  • The total surfAce area of cone is <u>1244.57m².</u>

<h3><u>Step-by-step</u><u> </u><u>explanation</u><u> </u><u>:</u><u>-</u><u> </u></h3>

<u>To </u><u>find </u><u>:</u><u>-</u><u> </u>

  • The total surface area of cone..

<h3><u>Solution :- </u></h3>

Given that ,

  • The slant height of the cone = 21m.
  • Diameter of it's base = 24m.

<h3><u>♦</u><u> </u><u>Radius is </u></h3>

<u>=</u>> Diameter / 2

=> 24 / 2

=> 12m

<h3>As we know that , </h3>

<u>Total surface area of cone = πr ( r + L ) .</u>

<h3><u>Where</u><u> </u><u>we </u><u>know</u><u>,</u></h3>

  • π = 22/7
  • r = Radius ( radii )..
  • L = Slant height.

<h3>According to the question :- </h3>

The total surface of cone is,

<u>=> Total surface area = πr { r + L } ..</u>

=  \frac{22}{7}  \times 12 \times (12 + 21)

=  \frac{22}{7}  \times 12 \times 33

= (22 \times 12 \times 33) \div 7

= (726 \times 12) \div 7

= 8712 \div 7

= 1244.57 {m}^{2}

• Therefore , The total surface area of cone is <u>1244.57m².</u>

Hope this helps you :)

8 0
2 years ago
Read 2 more answers
Find the 7th term of the geometric sequence –4, 12, –36, 108, –324,...
maks197457 [2]

Answer:

a

Step-by-step explanation:

a=-4 r=12/-4=-3

T7= ar^n-1

= (-4)(-3)^7-1

=-2916

5 0
3 years ago
I need help on this question
statuscvo [17]

Answer:

The answer is D I believe

Step-by-step explanation:

4 0
3 years ago
The width of a rectangle is 3 units less than the length. The area of the rectangle is 54 units. What is the length,in units of
My name is Ann [436]

Answer:

The length is 9 units

Step-by-step explanation:

Let x = length

width  = x-3

Area = 54 = l*w

54 = x * (x-3)

Distribute

54 = x^2 -3x

Subtract 54 from each side

54-54 = x^2 -3x-54

0 =  x^2 -3x-54

Factor

What 2 number multiply to -54 and add to -3

-9 * 6 =54

-9+6 =-3

(x-9) (x+6) =0

Using the zero product property

x=9   x=-6

Since we cannot have negative length

x=9 units

The length is 9 units

5 0
3 years ago
Read 2 more answers
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