(-2^3) = -8.
-2 times 3 = -6.
The expression is now -6 - (-8).
-6 + 8 = 2.
The answer should be 2.
First make the denominators of the fractions the same by multiplying.
×
=
Now we just need to add the fractions together
=
9/6 would be the answer, but it can be simplified further, then converted into decimal form.
÷
=
=1.5 yardsYour final answer is 1.5 yards of ribbon are needed.
Answer: Option D.
Step-by-step explanation:
You can calculate the surface area of this right prism by adding the area of its faces.
You can observe that the faces of the right prism are: Three different rectangles and two equal triangles.
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
The formula for calculate the area of a triangle is:
Where "b" is the base and "h" is the height.
You can observe that the hypotenuse of the each triangle is the width of one of the larger rectangle, then , you can find its value with the Pythagorean Theorem:
Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.
Then, this is:
Therefore, you can add the areas of the faces to find the surface area of the right prism (Since the triangles are equal, you can multiply the area of one of them by 2). This is:
Answer: The answer is (C) 180° rotation.
Step-by-step explanation: Given that the point A maps to the point A' by a rotation. We are to select the statement that describes the rotation.
In the given figure, the co-ordinates of point A are (-3, 5) and after rotation, the co-ordinates of point A' are (3, -5).
Therefore, the point (x, y) changes to (-x, -y) after rotation. This is the result of 180° rotation.
Therefore, the point A is rotated through an angle of 180° to reach at the point A'.
Thus, the correct option is (C) 180° rotation.
Answer:
(-1, 5/2)
Step-by-step explanation:
That is what I got