The measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have a length of an arc of a circle of radius 7 is approximately 10.99 cm.
The radius r = 7 cm
The arc length l = 10.99 cm
We know,
l = rθ
θ is the central angle.
θ = l/r = 10.99/7 = 1.57 radians
To convert 1.57 radians into the degree multiply it by 180/π
θ = 89.95 degree
Thus, the measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.
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Answer:
f(-8) = 104
Step-by-step explanation:
f(t) = t^2 - 5t
Let t=-8
f(-8) = (-8)^2 -5(-8)
= 64 +40
= 104
Answer:
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so 1⅕ becomes −⅚, and we move forward with plugging the information into the Slope-Intercept formula:
![\displaystyle -8 = -\frac{5}{6}[24] + b \hookrightarrow -8 = -20 + b; 12 = b \\ \\ \boxed{y = -\frac{5}{6}x + 12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-8%20%3D%20-%5Cfrac%7B5%7D%7B6%7D%5B24%5D%20%2B%20b%20%5Chookrightarrow%20-8%20%3D%20-20%20%2B%20b%3B%2012%20%3D%20b%20%5C%5C%20%5C%5C%20%5Cboxed%7By%20%3D%20-%5Cfrac%7B5%7D%7B6%7Dx%20%2B%2012%7D)
To write this in Linear Standard Form, perfourm he following:
y = −⅚x + 12
+ ⅚x + ⅚x
___________
⅚x + y = 12 [We cannot leave the equation this way, so multiply the equation by the denominatour to eradicate the fraction.]
6[⅚x + y = 12]
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