All categories

2 years ago

determine the length of a chord whose central angle is 75° in the circle with the radius of 12 inches.

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

6 0

Answer:

Step-by-step explanation:

other two sides joining center to the ends of chord=radius of circle=12 in

using cosine formula

$cos A=\frac{b^2+c^2-a^2}{2bc} \\2bc cos~A=b^2+c^2-a^2\\\angle A=75^\circ\\b=c=r=12~in\\2*12*12~cos~75=12^2+12^2-a^2\\a^2=2*12^2-2*12^2 cos ~75\\a^2=2*12^2(1-cos 75)\\a=12\sqrt{2(1-cos~75)} \approx 14.6~inches$

You might be interested in

In the early months of some year, one site added 0.5 million new accounts every day. At this rate, how many days would be need

Over [174]

The answer that you are looking for is 60 . It will take 60 days until there will be 30 million new accounts added to a site. If you divide 30 from .5 you would get 60 so that would be your answer

8 0

3 years ago

Read 2 more answers

Please help me with this question!!!!!

Naddika [18.5K]

Answer:

Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph $y= \frac {2}{5} x - 3$ is below

$y = - \frac {5}{2} x + 2$

Step-by-step explanation:

Slope of the equation $y= \frac{2}{5} x -3$ is $m_1 = \frac{2}{5}$

Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as

$m_2 = - \frac {1}{m_1} = - \frac {5}{2}$

Equation of line in point slope form is given as

$y-y_1=m_2(x-x_1)$

Here (x1, y1) = (4, -8)

$y+8 = - \frac{5}{2} (x-4)$

Simplifying it further

$y = - \frac {5}{2} x + \frac {5}{2} 4 - 8$

$y = - \frac {5}{2} x + 2$

6 0

2 years ago

What part of the circumference is an arc whose measure is 30°? 1/12 1/10 1/8 1/6

GrogVix [38]

Answer:

1/12

Step-by-step explanation:

The whole circumference (i.e complete circle) is an arc which measures 360°

in our case, it is given that our arc measures only 30°

the fraction of our arc of 30° to the complete circle of 360° is

30/360

= 3/36

= 1/12

5 0

3 years ago

Please help its due Tommorow

scZoUnD [109]

Answer:

b) x+6

Step-by-step explanation:

8 0

2 years ago

When R2 is more useful than R in linear regression?

valina [46]

Answer: Multiple R is the correlation between y and y^ in a regression model. It is always non-negative, but has no nice interpretation as a proportion of variance, unlike its square. I can't think of too many uses for it and only know of one stat package that routinely reports it, SPSS. Bivariate correlation only tells you about two variables at a time (though you can use partial correlation to remove other variables).

6 0

2 years ago

determine the length of a chord whose central angle is 75° in the circle with the radius of 12 inches. ​

determine the length of a chord whose central angle is 75° in the circle with the radius of 12 inches.