Answer:
Check below
Step-by-step explanation:
1) Check the rectangle below with a line k, the axis of rotation in the center of the figure.
2) Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.
3) Let's calculate its radius, based on the information given, i.e. the perimeter:
Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 5.
Answer:
39.9
Step-by-step explanation:
A good trick to remember is SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Here, we're given an angle and the opposite side, and we want to find the adjacent side. So we need to use tangent.
tan 31° = 24 / x
x = 24 / tan 31°
x ≈ 39.9
The distance is (-4, 4)
Explanation: I moved down 4 cubes (negative) and moved right 4 cubes (positive).
I hope I am right :)
Answer:
3/7
Step-by-step explanation:
Opposite sides on a parallelogram are parallel, and parallel lines have the same slope, so once we find the slope of AB, we'll know the slope of CD. Point A is (-1,6) and point B is (6,9), so the slope of AB (and by extension, CD) is
A hole occurs when both numerator and denominator of a rational function have the same factor.
<u>Step-by-step explanation:</u>
While graphing rational function, it has to be converted into the lowest terms by factoring the numerator and denominator. If the numerator and denominator has the same factor, a hole is said to have occurred and to solve the rational function, you have to set the common factor to zero.
After you set it to zero and solve, you obtain the x value which can be then used to find out the value of y.
