Answer:
Ms. Thomas was driving at constant rate of 52 miles/hour.
Step-by-step explanation:
Given:
Total time to travel (t) = 45 minutes
Distance drove (d) = 39 miles
we need to find the constant rate in miles per hour at which she was driving.
Solution:
Now we know that;
We need to find constant rate at miles per hour;
But time is given in minutes.
So we will convert minutes into hour by dividing by 60 we get;
time 
Now we know that;
Distance is equal to rate times time.
framing in equation form we get;
distance 
Or
rate 
Hence Ms. Thomas was driving at constant rate of 52 miles/hour.
A student can take three subjects in 40 ways.
<u>SOLUTION:</u>
Given that, there are 4 different math courses, 5 different science courses, and 2 different history courses.
A student must take one of each, how many different ways can this be done?
Now, number ways to take math course = 4
Number of ways to take science course = 5
Number of ways to take history course = 2
So, now, total possible ways = product of possible ways for each course = 4 x 5 x 2 = 40 ways.
Hence, a student can take three subjects in 40 ways.
Answer:
Step-by-step explanation:
Part A
<u>Givens</u>
b1 = 265
b2 = 180
h = 90
<u>Formula</u>
Area = (b1 + b2)*h / 2
<u>Solution</u>
Area = (265 + 180) * 90 / 2
Area = 445 * 90 / 2
Area = 40050 / 2
Area = 20025 square meters
Part B
1 hectare = 10000 square meters
x hectare = 20025 square meters Cross multiply
x * 10000 = 20025 * 1 Divide by 10000
x = 20025 / 10000
x = 2.0025
Rounded to the nearest hectare that would be 2
Part C
The best shape is a square.
That would mean that the area is given by
s^2 = 20025
sqrt(s^2) = sqrt(20025)
s = 141.51
Each side of the rectangle (square) = 141.51
Answer:
There are 729 possible results are there for the series
Step-by-step explanation:
If we have n trials, each with m possible outcomes, the total number of possible outcomes is:

In this question:
6 games(trials), so
.
Each with three possible outcomes, so 
Then:

There are 729 possible results are there for the series