Please help me to solve this question
1 answer:
The equation for area of a triangle is 0.5*base*height, so when you halve both the base and height, the area gets divided by 4.
The area of the first triangle is 0.5*80*40 = 1600 cm^2.
6 1/4 cm^2 is the same as 25/4 cm^2.
Now, we have to see how many times 1600 cm^2 can be divided by 4 to get 25/4 cm^2.
Area of second triangle: 1600/4 = 400
Area of third triangle: 400/4 = 100
Area of fourth triangle: 100/4 = 25
Area of fifth triangle = 25/4
So, the fifth triangle has an area of 6 1/4 cm^2.
The pattern would be the area of the nth triangle =
The area of the first triangle is 0.5*80*40 = 1600 cm^2.
6 1/4 cm^2 is the same as 25/4 cm^2.
Now, we have to see how many times 1600 cm^2 can be divided by 4 to get 25/4 cm^2.
Area of second triangle: 1600/4 = 400
Area of third triangle: 400/4 = 100
Area of fourth triangle: 100/4 = 25
Area of fifth triangle = 25/4
So, the fifth triangle has an area of 6 1/4 cm^2.
The pattern would be the area of the nth triangle =
You might be interested in
Answer:
1) Total outcomes of 1 time = 16
2) 36 times
3) 24 times
Step-by-step explanation:
<h3>1) Total outcomes</h3>If both spinners are spinning together, and are labelled from 1 to 4, the the outcome are:
{(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (4, 4)}
We can count them to find total no. of outcomes
Total outcomes = 16
<h3>2) When Difference = 1</h3>Following combinations have a difference of 1
{(1, 2), (2, 1), (2, 3), (3, 2), (3, 4), (4, 3)}
n = 6
Probability of getting such combination is: 6/16
How many times Harvey would get such a combination out of 96 times?
Following combinations have a difference of 0
{(1, 1), (2, 2), (3, 3), (4, 4)}
n=4
Probability of getting such combination is: 4/16
How many times Harvey would get such a combination out of 96 times?