Answer:
Speed = 23809.52 cm/min
Step-by-step explanation:
Given : A car travels at constant speed for 7 days and covers 1500 miles.
To find : What is the speed in centimeters/minute
Solution : Formula to find speed is
Distance traveled = 1500 miles and time taken = 7 days
Now, we have to convert miles into centimeter and days into minutes.
1 day = 24 hours
1 hour= 60 minute
24 hr= 24×60 minute
1 day = 24×60 minute
7 days = 7×24×60 minute = 10,080 minute
Now, 1 mile = 8/5 km = 1.6 km
1 km= 100000 cm
1.6 km = 1.6 × 100000 cm
1 mile = 1.6 × 100000 cm
1500 miles = 1500×1.6 × 100000 cm = 240,000,000 cm
Put back the values into speed
Therefore, speed = 23809.52 cm/min
Solution
Question 1:
- Use of the area of squares to explain the Pythagoras theorem is given below
- The 3 squares given above have dimensions: a, b, and c.
- The areas of the squares are given by:
- The Pythagoras theorem states that:
"The sum of the areas of the smaller squares add up to the area of the biggest square"
Thus, we have:
Question 2:
- We can apply the theorem as follows:
Thus, the value of c is 26
Answer:
Step-by-step explanation:
On a single roll of a pair of dice. When a pair of dice are rolled the possible outcomes are as follows:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
The number of outcomes that gives us 12 are (6,6). There is only one outcome that gives us sum 12.
Total outcomes = 36
Odd against favor =
Number of outcomes of getting sum 12 is 1
Number of outcomes of not getting sum 12 is 36-1= 35
odds against rolling a sum of 12=