Answer:
C. 40π cm²
Explanation:
• The central angle of the sector = 225 degrees
,
• The radius of the sector = 8cm
For a sector of radius r and central angle θ, we calculate the area using the formula below:
Substituting the given values, we have:
The area of the sector is 40π cm².
Answer:
The length of AC is 222 units.
Step-by-step explanation:
Given AC and AE are common external tangents of G and D.
BC= 123 , GB=20 and AG=101.
We have to find the measure of AC.
As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,
In ΔABG, by Pythagoras theorem
⇒ 
⇒ 
⇒ AB=99 units.
Hence, AC=AB+BC=99+123=222 units.
The length of AC is 222 units.
Step-by-step explanation:
Put the interior angle equal to 180.
It would look something like this:
x+45=180
-45 -45
180-45= 135 so the exterior angle would be 135!
Answer:
x>=3
Step-by-step explanation:
5x-6>=9
5x>=9+6
5x>=15
x>=15/5
x>=3
How many males and how many females would there be if the total enrollment is 15000?
Ratio is
90 males 15000 - x
------------- = ---------------
125 fem x
Then 90x = 1875000 - 125x, or 215x = 1875000
x = approx 8720 females
and 15000-8720, or 6279 males
If every male finds a dance partner, that would leave (8720-6279) females, or 2440, without dance partners. ;(
Check: is the male:female ratio near 90:125?
Is 6279:8720 approx equal to 90:125?
Yes. 0.72 (approx) = 0.72 (approx).
