(i) 175 
(ii) option A - the average age of the trees in the forest
Step-by-step explanation:
Step 1 :
Cross sectional area of a cylindrical can = π * r² = π * 5² = 25π sq inches [Given radius = 5 inches ]
Step 2 :
Given rectangular prism has the same cross-sectional area, the cross sectional area of the prism = 25π sq inches
Given the height of the rectangular prism is same as that of the cylindrical can, the height of the prism is also 7 inches.
Step 3 :
Volume of the prism = Cross sectional area * height
= 25π * 7 [from step 1 and 2]
= 175
Second question
Step 1 :
The volume of wood that can be expected is equal to the volume of an average tree * the average number of trees per acre * number of acres.
The volume of the tree is determined by the dimensions of the tree .
We know that The volume of the tree does not depend on the age of the tree.
Hence the answer is option A - average age of the trees in the forest
Both angles will equal 180, as there is a line bisecting line AB to create the two angles.
Set up the following equation to have both angles equal 180:
Combine like terms:
Subtract 12 from both sides:
Divide both sides by 2:
We now know the value of x, so plug it into the equation we set up:
An obtuse angle will have a measure above 90 degrees. The number on the left side that is above 90 degrees is 119. This would be the measure for the obtuse angle.
The obtuse angle is
119 degrees wide.
P = 2
q = 7
just because 56 = 2*2*2*7
Two is less than three which is also less than 5.
When put into a number line from 0 to 10, it shows that 2 is closest to 0 while 5 is closest to 10 and three, will be in between 2 and 5. This shows that as you go from 2 to 3, the number increased and, it continues to increase when you go from 3 to 5. This shows that 2 is less than 3 and 3 is less than 5.
To do this you must plug in 1 and negative one for each x variable and each y. that solution is a point so the 1 must be tested for x and the -1 for y. do this and solve to find a and b so that it works in both equations!
