Answer:
A
Step-by-step explanation:
The commutative property of addition states changing the order of the numbers doesn't not change the sum. The order changed but the numbers stayed the same and as a result the same.
Answer:
46.73
Step-by-step explanation:
10000(5)75/)57)/83)’lsh “32=46.73
If tan(<span>θ) is negative, then </span><span>θ must be either in Q-II or else in Q-IV.
Fortunately, the question tells us that it's in Q-II.
If you draw a circle on the x- and y-axes, then draw a right triangle
in Q-II, then mark the legs 3 and -2, then the hypotenuse of the
triangle ... also the radius of the circle ... is √13 .
Look for the angle whose tangent is -3/2.
tangent = (opposite) / (adjacent)
So the side opp</span>osite is the 3 and the side adjacent is the -2.
For that same angle, cosine = (adjacent) / (hypotenuse) .
The adjacent side is still the -2, and the hypotenuse is √13 .
So the cosine of the same angle is
- 2 / √13 .
To rationalize the denominator (get that square root out of there),
multiply top and bottom by √13 . Then you have
(- 2 / √13) · (√13 / √13)
= - 2 √13 / 13 .
Answer:
120
Step-by-step explanation:
The prism shown is a triangular prism
The volume of a triangular prism can be found by multiplying the area of the base ( which is a triangle ) by the length of the prism ( which is 10 feet )
First let's find the area of the base.
To find the area of a triangle we use this formula 
where b = base length and h = height
The base length is 6ft and the height is 4ft.
Using these dimensions we plug in the values into the formula
So the area of the base is 12ft²
Finally to find the volume we multiply the area of the base by the length of the prism
12 * 10 = 120
Hence, the volume of the prism is 120ft³
Answer:
22 meters
Step-by-step explanation:
What we know:
Side AB is 7 1/2 m long, Side BC is 2 1/4 m long, and Side DE is 1 1/4 m long.
Saying Sides AH and FG are the same as Sides DE and BC respectively, we can add another 3 1/2 m to the perimeter.
If CD, EF and GH are each 1/3 of AB, then 7 1/2 is added again.
7.5 + (2.5 * 3) * (2.25 * 2) + (1.25 * 2)
7.5 + 7.5 + 4.5 + 2.5
15 + 7
The perimeter is 22 meters.
