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galina1969 [7]
3 years ago
8

How many radians are contained in the angle AOT in the figure? Round your answer to three decimal places.

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
4 0
1 radian = 57.3 degrees

60 <span>÷ 57.3 = 1.047
</span>

correct answer: C
Whitepunk [10]3 years ago
4 0

Answer:

Option C. 1.047 radians

Step-by-step explanation:

We have to find the measure of angle AOT in radians.

To convert measure of an angle from degree to radians we use the formula

\text{radians}=\frac{\pi(\text{degrees})}{180}

= \frac{\pi(60)}{180}=\frac{\pi }{3}

(Since measure of angle AOT is 60°)

= \frac{3.14}{3} (since π = 3.14)

= 1.047 radians

Therefore, option C. 1.047 radians is the correct option.

   

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3 years ago
Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 w
tensa zangetsu [6.8K]

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

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Number of words typed by a clerk in one hour and 20 minutes = 4160

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The total cost for recreating the manual = ?

Solution:

Step 1:  Finding the Number of hours is need to type 4160 words :

= 1\frac{20}{60} hours

\\\\=1\frac{1}{3} hours

\\\\=\frac{4}{3} hours

So it takes  \frac{4}{3} hours to type 4160 word

Step 2 :  Finding the Number of hours is needed to type 1 word  

= \frac{4160}{\frac{4}{3}}

=4160 \times \frac{3}{4}

= 3120 words per hour

Step 3 :  Finding the Number of hours is needed to type 16000 words

=\frac{\text{ total number of words}} {\text{ number of words written per hour}}

Substituting the values

= \frac{16000}{3120}

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5 0
3 years ago
Please help I'm lost.
vova2212 [387]

Part 1: Answer:

(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6

Step-by-step explanation:

To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.

(6+1)(6+1)(6-6) is zero.


Part 2 Answer:

Standard form: y = -x^4 + 12

Degree 4

left end goes down, right end goes down.

Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.


Part 3: Answer: x = 3, x = 8

Step by step:

x^2-11x = -24

x^2-11x+24 = 0

(x-3)(x-8) = 0

x = 3 or x = 8


Part 4a Answer:

quotient 2x^2 + x - 3

remainder 1


Step by step:

2x^2 + x - 3

___________________

x-4 ) 2x^3 - 7x^2 - 7x + 13

2x^3 - 8x^2

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0 + x^2 - 7x + 13

x^2 - 4x

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0 - 3x + 13

- 3x + 12

______

1


Part 4b answer:

quotient 2x^2 - 6x + 2

remainder -20


Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.


dividend 2x^3 +14x^2 - 58x

divisor x+10

leading coefficient of divisor must be 1

write coefficients of dividend at top

write coefficients of dividend at left


| 2 14 -58 0

-10 | -20 60 -20

___________

| 2 -6 2 -20

Coefficients of quotient are 2 -6 2

Remainder is -20

quotient = 2x^2 - 6x + 2



7 0
3 years ago
Round 8.47285 to 3 decimal places
Elanso [62]
8.473 is the correct answer
7 0
3 years ago
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