Answer: The frog fell asleep for 4 nights.
Step-by-step explanation: First, he climbs up 3m every night. there are 16 nights before he gets to 29m. He has not climbed up for the 16th day so 15*3= 45. 45-29= 16. 16/4=4. The frog slept for 4 nights.
Answer:
24 centimeters squared(cm²)
Step-by-step explanation:
The triangle below has been reduced by a scale of 0.4.
A large triangle has a base of 30 centimeters and height of 10 centimeters.
Hence, reducing the large triangle by the given scale ratio, we have :
Height = 10cm × 0.4 = 4cm
Base = 30cm × 0.4 = 12 cm
Hence, the area of the smaller triangle
= Area = 1/2 × Base × Height
Height = 4 cm
Base = 12 cm
Area = 1/2 × 4 × 12
= 24 cm²
<u>Answer:</u>
A) 720 ways
B) 15 ways
C) 6 ways
<u>Step-by-step explanation:</u>
A) To find the number of ways Alicia can arranger her 6 paintings, we will find factorial of 6 by multiplying all of the positive integers equal to or less than that number i.e. 6 to get:
6! = 6 * 5 * 4 * 3 * 2 * 1 = 720
Alicia can arrange her paintings in 720 ways.
B) We use the following formula (when order is not important) to find the number of permutations of n objects taken r at a time:


Therefore, Alicia can choose any 4 of her paintings in 15 ways.
C) Number of ways Alicia can arrange 3 out of 6 paintings = 3! = 3*2*1 = 6 ways