Answer:
10 km
Step-by-step explanation:
The Angle formed by their travel is a right angled triangle (check attached picture) , hence we can apply Pythagoras rule :
Hypotenus = sqrt(opposite² + Adjacent²)
Hypotenus = distance hiked after lunch :
D = sqrt(6² + 8²)
D = sqrt(36 + 64)
D = sqrt(100)
D = 10 km
Answer:
The larger number is 8
Step-by-step explanation:
Let
x -----> the smaller number
y ----> the larger number
we know that
x+y=10
y=10-x -----> equation A
y=4x -----> equation B
Solve by substitution
substitute equation B in equation A and solve for x
4x=10-x
4x+x=10
5x=10
x=2
Find the value of y
y=4x-------> y=4(2)=8
therefore
The smaller number is 2 and the larger number is 8
Find the mean, median, and mode of the date.<br> 4, 8, 11, 6, 4, 5, 9, 10, 10,4
exis [7]
Answer:
Mean: 7.1, median: 7, mode: 4
Step-by-step explanation:
The mean, also known as the average, is equal to the sum of all the numbers divided by how many numbers there are.
4 + 8 + 11 + 6 + 4 + 5 + 9 + 10 + 10 + 4 = 71
10 numbers
71/10 = 7.1
The median is the number in the middle of the set.
4, 4, 4, 5, 6, 8, 9, 10 ,10 ,11
6 and 8 are in the middle, and the number between 6 and 8 is 7.
The mode of a set of numbers is the most common number. In this case, the number is 4 as it appears 3 times.
I think the ratio would be 3.5 : 1
Answer: 9 inches.
Do the pythagorean theorem to find your answer.
Formula: a^2 + b^2 = c2
12 = b
15 = c
a^2 + 12^2 = 15^2
Simplify the equation
a^2 + 144 = 225
Subtract 144 on both sides.
a^2 = 81
Square root of 81 is 9.
