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Alex Ar [27]
4 years ago
14

An arc of length 15ft subtends a central angle 0 in a circle of radios 9ft. Find measure of 0 in degrees

Mathematics
1 answer:
Kisachek [45]4 years ago
6 0

Answer:

95.49°

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians.  Here, r = 9 ft and s = 15 ft.  Thus, the central angle Ф is

Ф = (15 ft) / (9 ft) = 5/3 radians, or

5 rad       180°

------- * ---------- = 95.49°

      3       π rad

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Which function corresponds to the table of inputs and outputs?
Anarel [89]

Answer:

f(x) = 3x + 2

Step-by-step explanation:

That's easy to find out.  You have your input number, which is your x value, and you have your output number which is your y value (or f(x)).

All you have to do is see if each of the proposed answer works for ALL entries in the data set.

f(x) = 3x + 2  

for x = 3 ===>  11 = 3 (3) + 2 = 11 YES

for x = 5 ===>  17 = 3 (5) + 2 = 17 YES

for x = 7 ===>  23 = 3 (7) + 2 = 23 YES

for x = 9 ===>  29 = 3 (9) + 2 = 29 YES

f(x) = 2x + 5  

for x = 3 ===>  11 = 2 (3) + 5 = 11 YES

for x = 5 ===>  17 = 2 (5) + 5 = 15 NO - we stop here for this function

f(x) = x + 7  

 for x = 3 ===>  11 = (3) + 7 = 10 NO - we stop here for this function

f(x) = 3x + 1

 for x = 3 ===>  11 = 3 (3) + 1 = 10 NO - we stop here for this function

7 0
3 years ago
315,728 rouned to the nearest ten thousand
Masja [62]

Answer:

320,000 is the answer

Step-by-step explanation:

have a good day!!

8 0
3 years ago
X/-3-41=-11 show work please
Brilliant_brown [7]

The correct answer is x = -90.

To find this, solve using the order of operations. See the example below.

x/-3 - 41 = -11 ----> Add 41 to both sides

x/-3 = 30 ----> Multiply each side by -3

x = -90

4 0
4 years ago
The length of a rectangle is "a" inches and the width is 3 inches more than its length. find the perimeter and the area
Alex73 [517]

Answer:

Step-by-step explanation:

Givens

Length = a

Width = a + 3

Formulas

P = 2L + 2w

Area = L * w

Solution

Perimeter

P = 2L +  2w

P = 2*a + 2(a + 3)             Remove the Brackets

p = 2a + 2a + 6                Combine

<u><em>P = 4a + 6</em></u>

Area

Area = L * w

Area = a (a + 3)

<u><em>Area = a^2 + 3a</em></u>

7 0
2 years ago
PLEASE HELP!Find the slope of the line on the graph.
GrogVix [38]

Answer:

3/1 or 3

Step-by-step explanation:

It rises up three and to the side one

3 0
3 years ago
Read 2 more answers
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