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777dan777 [17]
3 years ago
8

A wheel has 11 spokes evenly distributed around the rim of the wheel. What is the measure, in radians, of the central angle form

ed by adjacent pairs of spokes?
Mathematics
2 answers:
Andrews [41]3 years ago
6 0
2(pi) divided by 11 would be your answer Gmmarle.
jok3333 [9.3K]3 years ago
4 0

Answer:

The angle between adjacent pairs of spokes is 2π/11 radian or 0.57 radian

Step-by-step explanation:

Consider the provided information.

Angle around the center is 360

360 is divided into 11 spokes, because

And with 11 spokes total number of angles would be 11.  wheel has 11 spokes evenly distributed around the rim of the wheel.

As we know:

360^\circ =2\pi\ radian=6.283 radian

Since, the spokes are evenly distributed, the angle between any 2 spokes is:

\frac{360^\circ}{11} =\frac{2\pi\ radian}{11}\approx0.57 radian

Hence, the angle between adjacent pairs of spokes is 2π/11 radian or 0.57 radian

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What are the domain and range of the function?
Naily [24]

Answer: Domain: (-inf,inf) Range; [-4,inf)

Step-by-step explanation: Domain is x values possible and range is y values possible. Quadratics always have a domain of (-inf,inf) and the range starts from -4 going up infinitely. and if -4 is included then we use a bracket therefore,  [-4,inf). Also, infinity always has a parenthesis.

8 0
3 years ago
Rich and Melinda are comparing mortgages. Their mortgage is for $249,000. If they choose 15 years at 4%, their monthly payment w
jok3333 [9.3K]

Answer:

Term payback = 15 yr = $331527.6  20 yr = $394389.65 rounded up by 0.002. Shows 15 yr is $62862.05 less as result of return 5 yrs earlier.

Step-by-step explanation:

20 yr = $1643.29 at 105% = 82.1645 paid x 12 x 20 = 19719.48 interest + 1561.1257 to loan x 12 x 20 = 374670.168 total with Int at 5%=  394389.648  

15 yr=$1841.82.= $1841.82 - 73.6728= 1768.1472 to loan p/m = 20 yr 318266.496 + interest of 73.6728 = 13261.104 total with interest at 4%=331527.6

6 0
3 years ago
3x + 8y = 28<br> 3x + 2y = 4<br> Find both the x and y coordinates
umka2103 [35]

Answer:

(- \frac{4}{3}, 4 )

Step-by-step explanation:

Given the 2 equations

3x + 8y = 28 → (1)

3x + 2y = 4 → (2)

Subtracting (2) from (1) term by term will eliminate the x- term

(3x - 3x) + (8y - 2y) = (28 - 4), that is

6y = 24 ( divide both sides by 6 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting into (1)

3x + 8(4) = 28

3x + 32 = 28 ( subtract 32 from both sides )

3x = - 4 ( divide both sides by 3 )

x = - \frac{4}{3}

Solution is (- \frac{4}{3}, 4 )

6 0
3 years ago
Read 2 more answers
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
What is 1.158×10-7 in standard notation
inysia [295]

\bf \stackrel{\textit{scientific notation}}{1.158\times 10^{-7}}\implies \stackrel{\textit{standard notation}}{0\underline{.0000001}58}\leftarrow  \begin{array}{llll} 10^{-7}\textit{ means we move the dot}\\ \textit{7 slots to the left} \end{array}

7 0
4 years ago
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