Hello!
To find the hypotenuse of a right triangle, we use the formula: a² + b² = c². In this formula, which is also known as the Pythagorean Theorem, a and b are the legs of the right triangle, and c is the hypotenuse, which is the value we are trying to find.
The value of leg a is 9 centimeters, and value of leg b is 12 centimeters. With those values, we can substitute it into our equation and solve.
(9)² + (12)² = c² (simplify the exponent)
81 + 144 = c² (simplify)
225 = c² (take the square root of both sides)
c = 15
Therefore, the length of the hypotenuse is 15 centimeters.
Answer:
Option 4 is correct
Step-by-step explanation:
Here, we want to select from the options, the dataset that is represented on the histogram
From what we have in the question, there is a range from 60 to 100
Also, there are no terms between 70 and 80
option 1 is wrong as we can see terms between 70 and 80
option 2 is also wrong for this reason
option 3 is incorrect ; looking at the frequency, the numbers between 60 and 70 should be 5 only and we have 6 in that set
Option 4 is the correct answer
Answer:
$406
Step-by-step explanation:
The amount of interest that Lorenzo's account earns is given by ...
I = Prt
where P is the principal amount ($400), r is the annual rate (1.5%) and t is the number of years (1).
Lorenzo's interest is ...
I = $400·0.015·1 = $6.00
Then the balance in Lorenzo's account at the end of one year is ...
$400 +6 = $406.00
