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2 years ago

What is the equivalent of pi over 6 radians in degrees?

Mathematics

1 answer:

ra1l [238]2 years ago

3 0

To find the answer to this problem, you can use the unit circle to see that pi over 6 radians is equal to 30°

Another way is to use the equation: degrees = radians • (180 over pi)

In this example, plugging in the radians portion of the equation gives us: degrees = (pi over 6) • (180 over pi), which will become degrees = (180pi over 6pi)

Simplify and pi cancels out to give us degrees = 30

Answer: 30°

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29 What value of x makes this equation true? 12 x - 15 = 6 - 3 x

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Step-by-step explanation:

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3 years ago

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3 years ago

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lutik1710 [3]

First Method:

Round $\frac{3}{5}$ to the closest integer, which is 1.

Round $\frac{3}{4}$ to the closest integer, which is also 1.

So 1 + 1 = 2.

Answer for method 1: 2

Second Method:

$\frac{3}{5}$ + $\frac{3}{4}$ = $\frac{3*4}{5*4} + \frac{3*5}{4*5} = \frac{12}{20}+\frac{15}{20}=\frac{27}{20}$

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3 0

2 years ago

A weather forecaster says the temperature will be about-5C “give or take” 10 degrees. What is the greatest possible temperature?

IRINA_888 [86]

The greatest possible temperature is $5^{\circ} \mathrm{C}$ and least possible temperature is $-15^{\circ} \mathrm{C}$

Solution:

Given that according to weather forecaster the temperature will be about -5 degree celsius given or take 10 degree”

Need to determine greatest possible temperature and least possible temperature.

Give and take in given statement means a temperature can go up by 10 degrees and can go down by 10 degrees

So greatest possible temperature will be $-5^{\circ} \mathrm{C}+10^{\circ} \mathrm{C}=5^{\circ} \mathrm{C}$

Least possible temperature will be $-5^{\circ} \mathrm{C}-10^{\circ} \mathrm{C}=-15^{\circ} \mathrm{C}$

Hence according to weather forecaster, greatest possible temperature = $5^{\circ} \mathrm{C}$ and least possible temperature = $-15^{\circ} \mathrm{C}$

4 0

3 years ago

A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. Find a quadratic func

UNO [17]

Let x refers to the Month numbers
And y refers to Number of births

There is 5 steps to find the quadratic function that models the data.

First step ⇒ Plot the data pairs (x, y) in a coordinate plane.
 which are the blue circles in the attached figure

Second step ⇒ Draw the parabola you think best fits the data.
 Which is the red function in the attached figure.

Third step ⇒ Estimate the coordinates of three points on the
 parabola, which are (2, 108), (4, 68), and (6, 75).
 which are the black squares in the attached figure

Fourth step ⇒ Substitute the coordinates of the points into the model 
 y = ax2 + bx + c
 to obtain a system of three linear equations.

 4a + 2 b + c = 108 ---------(1)
 16a + 4 b + c = 68 ---------(2)
36a + 6 b + c = 75 ---------(3)

Fifth step ⇒ Solve the linear system.
 By using the calculator
 a = 5.875 , b = -55.25 , c = 195

So, the quadratic model for the data is ⇒ y = 5.875 x²- 55.25 x + 195
============================================
To predict the number of births for month 8
substitute with x = 8 ⇒ y = 5.875 * 8²- 55.25 * 8 + 195 = 129

3 0

2 years ago

Read 2 more answers