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kirill [66]
3 years ago
10

R = 4 in., θ = 11 rad; find s

Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Answer:

The arc length s = 44 inches

Step-by-step explanation:

We are given:

r = 4 in

Ф = 11 radians

We need to find s

The formula used is: s=r\theta

where s represents arc length, r is radius and Ф is angle in radians

Putting values and finding s

s=r\theta

Put r = 4 and Ф = 11

s=4\times 11\\s=44

So, the arc length s = 44 inches

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Find BC<br> Round to the nearest tenth.<br> 7<br> 140°<br> B<br> 13
OlgaM077 [116]

Answer:

The answer is

Step-by-step explanation:

This is from khan academy. so You need to watch a video on khan academy to get help.

6 0
3 years ago
Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of
vesna_86 [32]

Answer:

m = 3 , n = 4

Step-by-step explanation:

<u>Using Section Formula.</u>

<u />If \ the \ line \ segment \ AB \ where  \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \  the \ points \  of \  P  \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}<u />

   Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b  = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x =  -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3<u />

  y =\frac{3\times 6 + 2 \times 1}{5}\\\\n = \frac{18 + 2}{5} = \frac{20}{5} = 4

<u />

5 0
3 years ago
The magnitude of vector a = (5,m) is 13 and the magnitude of vector b = (n, 24) is 25. What are m and n
Ulleksa [173]

Answer:

m=12\,,n=7

Step-by-step explanation:

The magnitude of vector (x,y) is given by \sqrt{x^2+y^2}

The magnitude of vector a=(5,m) is 13.

\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12

The magnitude of vector b=(n,24) is 25.

\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7

Therefore,

m=12\,,n=7

5 0
3 years ago
a small theater has eight rows of 22 chairs each. there is a plan to add four chairs to each row. how many chairs will be in the
HACTEHA [7]
All you do is multiply 22 times 8 which is 176 then you multiply 8*4
5 0
3 years ago
Read 2 more answers
If Brenda decides to use milliliters and leaders in terms room instead and each person at the party will drink about 750 mL afte
Anna71 [15]

Answer:

24 litres

Step-by-step explanation:

Given that :

Number of people present at party = 32

Volume of drink consumed by each person in mL = 750 mL

To consumption in mL:

Number of people * volume consumed by each

32 * 750 mL

24000 mL

24000 mL to L

1000 mL = 1 L

24000 mL = (24000/ 1000)L

= 24 L

4 0
3 years ago
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