The question is an illustration of permutation and combinations.
- The number of ways she can choose 4 out of the 7 paintings is 35
- The number of ways she can arrange 4 out of the 7 paintings is 840
The given parameters are:
<u>(a) Choose 4 of 7 paintings</u>
Choosing 4 of 7 paintings implies combination.
So, we have:
Substitute values for n and r
Expand
Hence, the number of ways she can choose 4 out of the 7 paintings is 35
<u>(b) Arrange 4 of 7 paintings</u>
Arranging 4 of 7 paintings implies permutation.
So, we have:
Substitute values for n and r
Expand
Hence, the number of ways she can arrange 4 out of the 7 paintings is 840
Read more about permutation and combinations at:
brainly.com/question/15301090
Answer:
300 degrees
Step-by-step explanation:
pi should be 180 degrees so 5*180/3 = 5*60=300
Answer/Step-by-step explanation:
Given that a and b are two corresponding sides of two similar figures, it follows that the ratio of their areas = a²/b².
We would use the above knowledge to solve the questions given as follows:
✔️The first pair similar of shapes:
Missing area = x cm²
Therefore,
x/9 = 8²/4²
x/9 = 64/16
x/9 = 4
Cross multiply
x = 4 × 9
x = 36 cm²
✔️The second pair similar of shapes:
Missing area = x cm²
Therefore,
x/240 = 8²/32²
x/240 = 64/1,024
Cross multiply
x*1,024 = 64*240
x*1,024 = 15,360
Divide both sides by 1,024
x = 15,360/1,024
x = 15 cm²
✔️The third pair similar of shapes:
Missing area = x cm²
Therefore,
x/40 = 3²/2²
x/40 = 9/4
Cross multiply
x*4 = 9*40
x*4 = 360
Divide both sides by 4
x = 360/4
x = 90 cm²
Average percentage =(425000-25000)/(30-0)
Average percentage= 13,333.3
Use formula [f(b)-f(a)]/(b-a)
ANSWER: $29.12 is the original price
EXPLANATION:
Do 22.40 • 0.30 to get 6.72
Then take 6.72 and add it to 22.40
This gives you the original price, $29.12
