Answer: 75 feet
Step-by-step explanation:
From the question, we are informed that two similar rectangles have a scale factor of 3:2 and that the perimeter of the small rectangle is 50 feet.
The perimeter of the large rectangle measured in feet will be calculated as:
= 3/2 × 50
= 150/2
= 75 feet
Answer:
2.92
Step-by-step explanation:
![V=\frac{4}{3}\pi r^3 \\ \\ 105=\frac{4}{3}\pi r^3 \\ \\ r^3=\frac{105}{\frac{4}{3}\pi} \\ \\ r=\sqrt[3]{\frac{105}{\frac{4}{3}\pi}} \\ \\ r \approx 2.92](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%20%5C%5C%20%5C%5C%20105%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%20%5C%5C%20%5C%5C%20r%5E3%3D%5Cfrac%7B105%7D%7B%5Cfrac%7B4%7D%7B3%7D%5Cpi%7D%20%5C%5C%20%5C%5C%20r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cfrac%7B4%7D%7B3%7D%5Cpi%7D%7D%20%20%5C%5C%20%5C%5C%20r%20%5Capprox%202.92)
Solution:
Number of times a die is rolled = 20
1 - 3=A
2 - 5=B
3 - 4=C
4 - 2=D
5 - 3=E
6 - 3=F
Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times
= Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes
= 6! × [ 3! × 5! × 4!×2!×3!×3!]
= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]
= 895795200 Ways
Answer:
f(-3) = 9
Step-by-step explanation:
Lets define f(a) first where a is any integer,
f(a) is found out by putting the integer in the function in place of the variable
So for the given question
In order to find f(-3) we will put -3 in place of x
So putting -3,
So, the value of function at -3 is 9 ..
Answer:
I THINK IT IS THE LAST ONE
Step-by-step explanation:
