Answer:
b= 4 in.
Step-by-step explanation:
Ok. So the area of a triangle is base * height divided by 2.
So, the base is b and the height is 3b.
b*3b= 3b^2.
Now, divide that by 2.
(3b^2)/2.
Now, we know what the area is already- 24 in.^2. So, let's set the area expression that I found earlier equal to this area, since they're the same.
(3b^2)/2 = 24
3b^2 = 48
b^2 = 16
Ok. Let's stop here. Now, we square root both sides to obtain b, but we are presented with a problem here. B can equal both 4 and -4 right? Since -4*-4=16 and 4*4=16. However, it is impossible for a 2d shape to have negative measurements. So, the answer is 4.
The answer is D because half of 4=2 and half of 3/4 is 3/8 because 3/4=6/8 and half of 6/8 is equal to 3/8
Answer:
(5sqrt(2), 45 deg)
(-5sqrt(2), 225 deg)
Step-by-step explanation:
(x,y)=(5,5)
So theta=arctan(5/5)=arctan(1)=45 degrees
Now r! r=sqrt(x^2+y^2)=sqrt(5^2+5^2)=sqrt(50)=sqrt(25)sqrt(2)=5sqrt(2)
So one polar point is (5sqrt(2) , 45 degrees)
Now if we do 180+45=225 degrees... this puts us in the 3rd quadrant... to get back to quadrant 1 we just take the opposite of our r
so another point is (-5sqrt(2) , 225 degrees)
4n-7=-3n
add 3n to both sides
and then solve for n
n=1
