So 1/2 of 3/4 is 3/8 which is equal to 6 cookies ( or 3/8 of a packet has 6 cookies)
So if we say a packet of cookies = X
and we know 8/8 of a packet of cookies = 1 full packet of cookies
( 8/8 of a packet or 1 full packet has X cookies )
Then 3/8 divided by 8/8 = 6/X
3/8 = 6/X
X = 6 divided by 3/8
X = 16
So there should be 16 cookies in a full packet
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
Answer:
AB = 2√106 ≈ 20.591
Step-by-step explanation:
The Pythagorean theorem says the square of the hypotenuse is equal to the sum of the squares of the legs.
For median AM, we have ...
AM² = CM² +AC² = (BC/2)² +AC²
For median BN, we have ...
BN² = CN² +BC² = (AC/2)² +BC²
The sum of these two equations is ...
AM² +BN² = BC²/4 +AC² +AC²/4 +BC² = (5/4)(AC² +BC²)
AM² +BN² = (5/4)(AB²)
The hypotenuse of triangle ABC is then ...
AB = √(4/5(AM² +BN²))
AB = 2√((19² +13²)/5)
AB = 2√106 ≈ 20.591
The answer is -16 - 10i.
Using the distributive property on the first part, we have:
-2i*7--2i*4i + (3+i)(-2+2i)
-14i+8i² +(3+i)(-2+2i)
Using FOIL on the last part,
-14i+8i²+(3*-2+3*2i+i*-2+i*2i)
-14i+8i²-6+6i-2i+2i²
-10i+8i²-6+2i²
Since we know that i = -1,
-10i+8(-1)-6+2(-1)
-10i-8-6-2
-16-10i
It can't, in triangle sum of 2 sides have to be more than 3rd side, and we know that
isn't more than
I also add picture to make it more clear, circles represents range of each side