The answer is B. 16.1 square meters
The region has triangular shape. To calculate the area of the triangle when three sides are known, we will use the Heron's formula:
A = √s(s-a)(s-b)(s-c)
where:
A - the area of the triangle
a, b, and c - the sides of the triangle
s - half of the triangle's perimeter: s = (a+b+c)/2
It is given:
a = 13 m
b = 5 m
c = 9 m
First, calculate s:
s = (a+b+c)/2 = (13+5+9)/2 = 13.5
Now, it is easy to calculate the area:
A = <span>√s(s-a)(s-b)(s-c) = </span>√13.5(13.5-13)(13.5-5)(13.5-9) = √13.5×0.5×8.5×4.5 = √258.19 = 16.07 ≈ 16.1
Answer: 39 pounds
Step-by-step explanation:
At first, the warehouse worker loads a cart with 14 boxes and the boxes have an average weight of 24 pounds. The total weight of the boxes will be:
= 14 × 24
= 336 pounds
Since the worker picks up a new box and puts it on the cart and the average weight of the boxes is 25 pounds. It means that the boxes are now 15 and their total weight will be:
= 15 × 25
= 375 pounds
The weight of the new box will be:
= 375 - 336
= 39 pounds
I think I can help with a few...
16. They are equal because of distributive property.
18. 12*5 and 3/8 -> 12/1*43/8 -> 516/8 -> 129/2 -> 64.5
19. Everything is right until the last step, where it should be 6 and 2/3.
For this, to figure that out plug in (-1, -1) into the x and y coordinates and solve:
Since -1 = -1 is a true statement, (-1,-1) is a solution to this equation.
5 = 3y - 4
5/3y = 3y / y - 4/y
5/3 y + 4/y = 3
(5 + 12)/3y = 3
17= 9y
Y = 17/9
