Since the legs are the same length, we know that the remaining two angles must be the same.
120+2x=180
2x=60
x=30
Final answer: x=30 degrees
Answer:
807.8 in^2
Step-by-step explanation:
The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:
The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...
(18 in)(35.6 in) = 640.8 in^2
The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...
(9.6 in)(8.7 in) = 83.52 in^2
Then the total area is the lateral area plus the area of the two ends:
640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2
Answer:
There can be a number of correct answers. One of them is the ship has traveled 25 miles in 1 hour.
Step-by-step explanation:
The distance from destination f after x hours for the ship is given by f(x)=120-25x
At the beginning, x=0, f(x)=f(0)=120
After 1 hour, f(x)=f(1)=120-25=95
So in 1 hour, the ship has traveled 120-95=25 miles.
Answer:

Step-by-step explanation:
So, on Monday, Tuesday, and Wednesday, he mowed:

yards, respectively.
To determine how many yards he mowed in the three days, simply add the three expressions. Thus:

Combine like terms:

Add or subtract:

And it cannot be simplified further :)