Answer:
The circumference of the circle is 5π
Step-by-step explanation:
First we need to calculate the diameter
for this we have to know the distance between A(1, 3) and B(4, 7)
X = Xb - Xa
X = 4 - 1
X = 3
Y = Yb - Ya
Y = 7 - 3
Y = 4
b - a = (3 , 4)
now that we have the distance of x and r we can calculate its distance using Pythagoras
h = hypotenuse
x = leg 1 = 3
y = leg 2 = 4
h² = x² + y²
we replace the known values
h² = (3)² + (4)²
h² = 9 + 16
h² = 25
h = √25
h = 5
The diameter of the circle is 5
Now we need to calculate the circumferencefor this we need to use the circumferenc formula of a circle:
c = circumference
d = diameter = 5
π = pi
c = π * d
we replace with the known values
c = 5 * π
c = 5π
The circumference of the circle is 5π
Answer:
30
Step-by-step explanation:
3 x 10 = 30
add the 0 from ten to 3 and you get 30
Solution of the equation: ![x=6\frac{1}{2}](https://tex.z-dn.net/?f=x%3D6%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
The equation that we have to solve in this problem is:
![13\frac{3}{4}+x=7\frac{1}{4}](https://tex.z-dn.net/?f=13%5Cfrac%7B3%7D%7B4%7D%2Bx%3D7%5Cfrac%7B1%7D%7B4%7D)
The first step to do is to rewrite the mixed fractions as improper fractions. We have:
![13\frac{3}{4}=\frac{13\cdot 4+3}{4}=\frac{52+3}{4}=\frac{55}{4}](https://tex.z-dn.net/?f=13%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B13%5Ccdot%204%2B3%7D%7B4%7D%3D%5Cfrac%7B52%2B3%7D%7B4%7D%3D%5Cfrac%7B55%7D%7B4%7D)
And
![7\frac{1}{4}=\frac{7\cdot 4+1}{4}=\frac{29}{4}](https://tex.z-dn.net/?f=7%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B7%5Ccdot%204%2B1%7D%7B4%7D%3D%5Cfrac%7B29%7D%7B4%7D)
So the equation becomes
![\frac{29}{4}+x=\frac{55}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B29%7D%7B4%7D%2Bx%3D%5Cfrac%7B55%7D%7B4%7D)
Now we multiply by 4 each term on both sides, and we get
![29+4x=55](https://tex.z-dn.net/?f=29%2B4x%3D55)
Now we subtract 29 from both sides,
![4x=55-29=26](https://tex.z-dn.net/?f=4x%3D55-29%3D26)
And finally, we divide both sides by 4:
![x=\frac{26}{4}=\frac{13}{2}=6\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B26%7D%7B4%7D%3D%5Cfrac%7B13%7D%7B2%7D%3D6%5Cfrac%7B1%7D%7B2%7D)
Learn more about equations:
brainly.com/question/11306893
brainly.com/question/10387593
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15.04 degrees or answer A is correct.
The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. The formula for it is A=b•sin a/sin b.
You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find:
The remaining sides of a triangle, knowing two angles and one side.
The third side of a triangle, knowing two sides and one of the non-enclosed angles. In some cases (ambiguous cases) there may be two solutions to the same triangle. If the following conditions are fulfilled, your triangle may be an ambiguous case:
You only know the angle α and sides a and c;
Angle α is acute (α < 90°);
a is shorter than c (a < c);
a is longer than the altitude h from angle β, where h = c * sin(α) (a > c * sin(α)).
I hate useless complicated math lol ;)