Answer:
5 rad
Step-by-step explanation:
Recall that the length of an arc of circumference is given by the formula:
, where 
is the subtended angle [in radians] from the circumference's center.
Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle using the above equation as shown below:
7]
6/(x-1)-5x/4
subtracting the above we put the fraction under the same denominator:
6/(x-1)-5x/4
multiplying the denominators we get:
4(x-1)
thus subtracting we get:
6/(x-1)-5x/4
=(4*6-5x(x-1))/[4(x-1)]
=[24-5x^2+5x]/(4x-4)
Answer:
(-5x^2+5x+24)/(4x-4)
9]
3/(x+7)+4/(x-8)
the common denominator is:
(x+7)*(x-8)=(x+7)(x-8)
thus adding the fractions we put them under the same denominator as follows:
[3(x-8)+4(x+7)]/[(x+7)(x-8)]
=[3x-24+4x+28]/[(x+7)(x-8)]
=(7x+4)/[(x+7)(x-8)]
Answer:
8.3 cm
Step-by-step explanation:
The product of lengths to the near and far point of intersection with the circle is the same in all cases:
(7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)
Since we're only interested in x, we can divide by 4 and subtract 4:
49 cm² = (4 cm)(4 cm +x)
(49/4) cm = 4 cm +x . . . . . . divide by 4 cm
8.25 cm = x . . . . . . . . . . . . . subtract 4 cm
To the nearest tenth, x = 8.3 cm.
_____
For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.
___
The angles depend on the size of the circle, which is not given.
A histogram is a graph used to present ranges of data. In contrast to bar graphs or vertical graphs, these are more used in displaying complex and higher statistical data ranges. Moreover, the illustration is Uniform. Uniform in that it portrays that the data is in a rectangular shaped form.
a = 2x - 18
remove the parenthesis and simplify
x - 3 + x - a = 15
2x - 3 - a = 18 ( add 3 to both sides
2x - a = 18 ( subtract 2x from both sides )
- a = 18 - 2x ( multiply through by - 1 )
a = - 18 + 2x
a = 2x - 18
