Answer:
Explanation:
The area of the <em>octagon</em> may be calculated as the difference of the area of the original square and the area of the four corners cut off.
1) <u>Area of the square</u>.
The original square's side length is the same wide of the formed octagon: 10 cm.
So, the area of such square is: (10 cm)² = 100 cm².
2) <u>Area of the four corners cut off</u>.
Since, the corners were cut off two centimeters from each corner, the form of each piece is an isosceles right triangle with legs of 2 cm.
The area of each right triangle is half the product of the legs (because one leg is the base and the other leg is the height of the triangle).
Then, area of one right triangle: (1/2) × 2cm × 2cm = 2 cm².
Since, they are four pieces, the total cut off area is: 4 × 2 cm² = 8 cm².
3) <u>Area of the octagon</u>:
- Area of the square - area of the cut off triangles = 100 cm² - 8cm² = 92 cm².
And that is the answer: 92 cm².
Miley travel from home to school to work and back home again in 60 different ways
<em><u>Solution:</u></em>
<em><u>Miley walks to school by 1 of 3 routes in the morning</u></em>
So she chooses 1 route from 3 routes
Number of ways = 1 x 3 = 3 ways
<em><u>After school she chooses from 4 different routes to get to work</u></em>
So she has 4 different routes and she picks up 1
Number of ways = 1 x 4 = 4 ways
<em><u>When work is done she travels home by 1 of 5 different ways</u></em>
So she has 5 different routes and she picks up 1
Number of ways = 1 x 5 = 5 ways
<em><u>How many different routes can Miley travel from home to school to work and back home again?</u></em>
Total number of different ways = 3 ways x 4 ways x 5 ways
Total number of different ways = 3 x 4 x 5 = 60 ways
Thus Miley travel from home to school to work and back home again in 60 ways
It would be 7/3 as you times the whole number by the denominator. Then add the numerator to get the numerator of your answer, finally add the original denominator to your answer to equal 7/3 .
Answer:
Monica will walk a total of 3km in 60 minutes given that she walked 1km in 20 minutes
Step-by-step explanation:
The correct question is given below;
Monica walked every day for exercise at a rate of 1 kilometer every 20 minutes. At this rate, how many meters can Monica walk in 1 hour? EXPLAIN how you found your answer
solution;
Now in this question, given the number of kilometers Monica walks in 20 minutes, we are now told to find the number of kilometers she will walk in 60 minutes.
Now to get this, the easiest way to this is to use a cross multiplication as follows;
1km = 20 minutes
xkm = 60 minutes
Kindly remember/ recall that in an hour we have 60 minutes so it is necessary to make the conversion to the unit to achieve consistency. You might want to convert 20 minutes to hours too , but it is better to have it in minutes
Now let’s make the cross multiplication;
1 km * 60 minutes = x km * 20 minutes
xkm = (1km * 60 minutes)/20 minutes
xkm = 60 km minutes/20 minutes
xkm = 3km
