First, you are going to want to get the terms to the same power of 10 in scientific notation. Realize that . Essentially, we have converted the to a term with . Now, we can subtract the values in each term that are not 10 as shown below:
Remember that we have to turn it back to scientific notation once we are done!
Our answer is the second choice, . (This is the closest answer to .)
Answer:
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Step-by-step explanation:
Area of a triangle:
The area of a triangle of base b and height h is given by:
In this question:
We have to derivate the equation of the area implicitly in function of time. So
The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.
This means that:
At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?
This is when
Area is 24, so the base is:
Then
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Answer:
chances chances of happening = 0.0119
Step-by-step explanation:
given data
bet = $5
independent fair games = 50
solution
we will think game as the normal distribution
so here mean is will be
mean =
mean = 25
and standard deviation will be
standard deviation =
standard deviation = 3.536
so
we have to lose 33 out of 50 time for lose more than $75
so as chance of doing things z score is
z score =
z score = 2.26
so from z table
chances chances of this happening = 0.0119
-7/24, because you can just do this question in reverse to figure out an answer. (3/8 - 2/3)
A is congruent to X
B is congruent to Z
C is congruent to Y
AB is congruent to XZ
AC is congruent to XY
BC is congruent to ZY
ABC is congruent to XZY