Answer: the perimeter is 108 yards. Here are the steps:
A:B
4:9 (Ratio of side A to side B.)
12:27 (A was increased 3x, so B needs to be increased 3x to keep above ratio the same when simplified. Ex. 15:20 simplifies down to 3:4.)
27+27+27+27=108yds (Perimeter is all of the sides added up.)
Hope this helps. :)
I started this and got distracted and never finished and it timed out. Focus Dean.
It's not the best graph; I assume the origin is the apparent origin and the y axis numbers go with the line above them.
This graph is M(V), M(V) is mass in kg of bucket with water volume V in liters
a) the mass of an empty bucket
That's the y intercept, M(0), eyeballing it around .7 kg
Answer: .7 kg
b) the mass of the bucket containing 1 liter of liquid
That's M(1), looks like 1.3 or so
Answer: 1.3 kg
c) the mass of one liter of liquid
That's the difference, M(1)-M(0), about .6 kg. We can get a better estimate from a longer slope, say (.5,1) to (3,3), (3-1)/(3-.5) = .8 kg.
Answer
: 0.8 kg
d) the volume of the liquid in the bucket, if the total mass of bucket with the liquid is 3 kg.
Solve M(V)=3
That has a solution from the graph V=3.
Answer: 3 liters
Answer:
a) 50
b) 400
c) 8
d) 200
Step-by-step explanation:
a) 5 divided 0.1
b) 8 divided 0.02
c) 2.4 divided 0.3
d) 32 divided 0.16
Answer:
12x² + 17x - 5
Step-by-step explanation:
Given
(3x + 5)(4x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(4x - 1) + 5(4x - 1) ← distribute parenthesis
= 12x² - 3x + 20x - 5 ← collect like terms
= 12x² + 17x - 5
