105.9965:700 is what I worked out. Hope it's right.
The radius of the circle is 15 cm,
The diameter of the circle is 30 cm,
The circumference of the circle is 94.248 cm,
The area of the circle is 706.86 cm^2
The radius is given in the diagram as half the circle, which is 15 cm.
The diameter is double the radius because the diameter measures the circle from edge to edge, so 15•2=30 cm.
The circumference of the circle is 2•3.14•r=C,
2•3.14=6.28, 6.28•15= 94.248 cm.
The area of the circle is 3.14•r^2, so the radius squared is 225 (15•15) and 225•3.14=706.86 cm squared :)
Answer:
the value of
such that there is no solution to the equation is
.
Step-by-step explanation:
Let first simplify the expression presented on statement. The equation has no solution if and only if
is eliminated in the process and an absurd is the result (i.e.
).
![2\cdot (a\cdot x + 3) = 4\cdot x -3\cdot (4\cdot x + 8)](https://tex.z-dn.net/?f=2%5Ccdot%20%28a%5Ccdot%20x%20%2B%203%29%20%3D%204%5Ccdot%20x%20-3%5Ccdot%20%284%5Ccdot%20x%20%2B%208%29)
![2\cdot a\cdot x +6 = 4\cdot x -12\cdot x -24](https://tex.z-dn.net/?f=2%5Ccdot%20a%5Ccdot%20x%20%2B6%20%3D%204%5Ccdot%20x%20-12%5Ccdot%20x%20-24)
![2\cdot a \cdot x+6=-8\cdot x-24](https://tex.z-dn.net/?f=2%5Ccdot%20a%20%5Ccdot%20x%2B6%3D-8%5Ccdot%20x-24)
![2\cdot a\cdot x +8\cdot x = -30](https://tex.z-dn.net/?f=2%5Ccdot%20a%5Ccdot%20x%20%2B8%5Ccdot%20x%20%3D%20-30)
![2\cdot (a+4)\cdot x = -30](https://tex.z-dn.net/?f=2%5Ccdot%20%28a%2B4%29%5Ccdot%20x%20%3D%20-30)
![(a+4)\cdot x = -15](https://tex.z-dn.net/?f=%28a%2B4%29%5Ccdot%20x%20%3D%20-15)
To obtain an absurd, we need that
. Hence, the value of
such that there is no solution to the equation is:
![a = -4](https://tex.z-dn.net/?f=a%20%3D%20-4)
Let prove the certainty of the result. We find that an absurd exist: (
)
![0 = -15](https://tex.z-dn.net/?f=0%20%3D%20-15)
Since line c and d are parallel, line a can act as a transversal. Thus, x=124 degrees because of the alternate exterior angle relationship that can be seen.
Answer:
Step-by-step explanation:
I fu-ck-ed my girl-friend real good