Answer:
$412.5
Step-by-step explanation:
7.5*5=37.5
300*0.375=112.5
300+112.5=412.5
If you are looking for the expanded version, this is it. It is also possible to group either an a from (a^2 + 2b) or a b from (2ab + b^2). Hope this helps!
Answer:
Step-by-step explanation:
if i can draw, then i can explain better
distance between centers=r+3r=4r
we have to find the side of a right angled triangle by pythagoras theorem
given hypotenuse=4r
and one side=3r-r=2r
![d=\sqrt{(4r)^2-(2r)^2} =\sqrt{12r^2}=2\sqrt{3}r\\](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%284r%29%5E2-%282r%29%5E2%7D%20%3D%5Csqrt%7B12r%5E2%7D%3D2%5Csqrt%7B3%7Dr%5C%5C)
this is the distance if they touch.
but if they are r distance apart
then distance between centers=r+r+3r=5r
so hypotenuse=5r
length of tangent
![=\sqrt{(5r)^2-(2r)^2} \\=\sqrt{21r^2} \\=\sqrt{21} r](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%285r%29%5E2-%282r%29%5E2%7D%20%5C%5C%3D%5Csqrt%7B21r%5E2%7D%20%5C%5C%3D%5Csqrt%7B21%7D%20r)
First let's figure out the angle of the green beans section - this would be 360 minus the total of the other two angles:
360 - (98 + 195)
= 360 - 293
= 67°
Now the formula for the circumference of a circle is circumference = πd, but since we have only a section of the circle we need to multiply this by the angle of our section/the sum of angles in a circle, ie.:
Circumference = 12π*(67/360)
= 67π/30
= 7 inch (to the nearest whole number)
Therefor F is the correct answer
Emma: Isosceles
Gabriel: Scalene
Jorge: idk
Makayla: Equilateral