Answer:
AC=16 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.
This implies that: .
We substitute the expression for x, we get:
.
Group similar terms to get:
.
.
AC = 2(12-4x)
AC=2(12-4(1))
AC=2(8)
AC=16
The midpoint of the segment is (-15/2, -15/2)
<h3>How to determine the midpoint?</h3>The complete question is in the attached image
The points are given as:
(-8, -7) and (-7, -8)
The midpoint is calculated as:
(x,y) = 1/2 * (x1 + x2, y1 + y2)
So, we have:
(x,y) = 1/2 * (-8 - 7, -7 - 8)
Evaluate the difference
(x,y) = 1/2 * (-15, -15)
Evaluate the product
(x,y) = (-15/2, -15/2)
Hence, the midpoint of the segment is (-15/2, -15/2)
Read more about midpoints at:
#SPJ1
Given:
Sphere and cylinder have same radius and height.
Volume of the cylinder = 48 cm³
To find:
The volume of the sphere.
Solution:
Radius and height of cylinder are equal.
⇒ r = h
Volume of cylinder:
Substitute the given values.
(since r = h)
Divide by 3.14 on both sides.
Taking cube root on both sides, we get
2.48 = r
The radius of the cylinder is 2.48 cm.
Sphere and cylinder have same radius and height.
Volume of sphere:
The volume of the sphere is 63.85 cm³.
