The most ancient mathematical texts came from mesopotamia and Egypt. The “inventors” of math are the Greek beginning in around the 6th century BC.
Let's put this on the usual Cartesian grid just so we can talk about it without drawing a picture. We'll use map conventions, right is east, up is north.
The ball starts at (0,0). 10.3 feet northwest means we have an isosceles right triangle whose diagonal is 10.3 feet. It's isosceles because northwest means equal parts north and west.
The sides of these triangles are in ratio
so the coordinates after the first putt are
The negative sign indicates west, which doesn't really matter for this problem. The distance from the origin to this point is 10.3 as required.
Now a second putt of 3.8 feet north puts us at
The squared distance to the origin is exactly
A little calculator work tells us
Third choice.
Answer:
The Answer is: x / y = 8 / 3
Step-by-step explanation:
3(x - 2) - 4(2y - 1) + 2=0
3x - 6 - 8y + 4 + 2 = 0
3x - 8y = 0
3x = 8y
3x/y = 8
x / y = 8 / 3
Hope this Helps! Have an Awesome Day!! (-:
Step-by-step explanation:
ABC is an isoceles triangle (both legs are equally long). and AB is its baseline.
OC is now a median for ABC splitting the angle at C and AB in half.
so, we have 2 right-angled triangles : OAC and OBC.
the half-angles at C are 42/2 = 21°.
the angles at A and B are 90°.
and the half-angles at O are 180 - 90 - 21 = 69°.
remember that the sum of all angles in a triangle must always be 180°.
AB are the heights of both of these triangles.
the single height is sin(69)×7 = 6.535062985... cm
and so,
AB = 2× height = 13.07012597... cm.
Answer:
8^-32
Step-by-step explanation:
