Answer:

Step-by-step explanation:
The area of the big triangle is 1/2 b h = 1/2*6*(12^2 = 6^2 + x^2)
that ends up being 
the small triangle are needs to be subtracted....
that is the length of the unknown side...
1/2 B * h of that triangle get you to 
just subtract the two areas
16,3,3
She wants an equal amount of lotion and hand soap, if you do 48 divided by 16 you get 3 and if you do 64 divided by 16 you get 4 so if she wants equal she can put 3 in each box. Finally if you do 48 divided by 3 you get 16 and if you divide 64 by 3 you get 21.3 if you want equal you must go with 16.
Hope this helps :)
Answer:
m = 4 or m = -8
Step-by-step explanation:
length between 2 points = √(difference of x)² + (difference of y)²
AB² = (m - (-2))² + (5 - 3)² = (m + 2)² + 4 = m² + 4m +8
AC² = ((-1) - (-2))² + (0 - 3)² = 10
AB² = 4AC²
m² + 4m +8 = 40
m² + 4m - 32 = 0
(m - 4) (m + 8) = 0
m = 4 or m = -8
Answer:
Rocket can hold maximum 4.5 gallons of water.
Step-by-step explanation:
Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom
Volume of the cone = 
Here r = radius of the circular base
h = height of the cone
Volume = 
=
cubic inch
Volume of the cylinder = 
Here r = radius of the base
h = height of the cylinder
Volume = 
= 256π cubic inches
Volume of the rocket = 
= 
= 1038.82 cubic inches
Since 231 cubic inches volume of a rocket can hold water = 1 gallon
Therefore, 1038.82 cubic inches space can hold water
=
= 4.497
≈ 4.5 gallons
Rocket can hold 4.5 gallons of water.
He should tell Bill that depending on which side he wants the width or the length on, he should attach another board about 8 feet long to the 7 foot board since that is the length and he shouldnt attach anymore wood to the second board.