On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 2 inches and
one with a side length of 3 inches.
Which statement is true about the two triangles?
The two triangles are the same shape but not the same size.
The two triangles are the same size but not the same shape.
It is impossible to construct equilateral triangles with these side lengths.
The two triangles are the same size and same shape.
Which statement is true about the two triangles?
The two triangles are the same shape but not the same size.
The two triangles are the same size but not the same shape.
It is impossible to construct equilateral triangles with these side lengths.
The two triangles are the same size and same shape.
2 answers:
You might be interested in
Your equation for exponential growth is of the form 
, where a is the initial or starting value and b is the multiplier. DO NOT EVER EVER MULTIPLY A TIMES B AND THEN RAISE IT TO THE X POWER! This is not the way you do these. A and B remain separate. In our situation, we have an equation that looks like this 
. That's part a. Now we need to find how many bacteria are on it 5 hours later, which will be subbed in for our x in the equation. 
. Raise 4 to the 5th power first to get 1024, then multiply that by 8 to get a total of 8192 bacteria on your cookie 5 hours later. That's part b. Now for part c, you're going to have to use some of the properties of logs to solve this. This time they're asking for the time it takes to get 100,000 bacteria on the cookie, which is your x value. You need to get it out from being an exponent to being a "regular" variable we can solve for. So our equation now uses the number of bacteria as our y: 
. Begin by dividing both sides by 8 to get rid of it on the right: 
. Now take the log of both sides to bring down that x: 
, and using the power property we have log(12,500) = x log(4). Now we will divide both sides by log(4) to isolate the x and do the work on our calculator to find that x= 6.80. In other words, it will take just short of 7 hours for your cookie to have 100,000 bacteria on it. I'd suggest cafeteria food, but that might kill you quicker!
Sorry I don’t know the answer I am just answering to see something about my points because they are negative and I am trying something I am so sorry here is also a cute picture of Louis Tomlinson for you:)
