Answer:
Yes, it can
Step-by-step explanation:
Yes, the set of numbers {5, 9, 13} can represent the lengths of the sides of a right triangle. This set of numbers follows the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case:
The length of one side is 5.
The length of the other side is 9.
The length of the hypotenuse is 13.
You can check if these numbers satisfy the Pythagorean theorem:
5^2 + 9^2 = 25 + 81 = 106
13^2 = 169
The set of numbers {5, 9, 13} does represent the lengths of the sides of a right triangle, as it satisfies the Pythagorean theorem.
Answer:
Depth of the water in the aquarium is 14 cm.
Step-by-step explanation:
Length and width of the aquarium is given as 18.5 cm and 15 cm
Amount of water in the aquarium = Volume of the rectangular prism
3885 = Length × Width × Height
3885 = 18.5×15×Height
3885 = 277.5 × h
h =
h = 14 cm
Therefore, Depth of the water in the aquarium is 14 cm.
Answer: The area is about 13.01.
Step-by-step explanation:
so to do this we need to find the distance between these points.And we do that by using the Pythagorean rule a^2 + b^2=C^2
(3,6) and (6,5)
3^2 + 1^2 = c^2
c=
(6,5) and (5,1)
1^2 + 4^2=
= 13.038
Write a recursive formula for
Answer:
= 5
Step-by-step explanation:
The sequence has a common ratio r between consecutive terms, that is
r = 10 ÷ 2 = 50 ÷ 10 = 250 ÷ 50 = 5
Thus the sequence is geometric with recursive formula
= 5
Answer:
The interest is 634.13.
Step-by-step explanation:
Amount deposit , P = 5000
Interest, R = 4 % so, R = 4/4 = 1 %
Time, T = 3 years quarterly
n = 3 x 4 = 12
Let the amount is A.
Use the formula of the compound interest
So, the interest is
I = A - P = 5634.13 - 5000 = 634.13