It would be 1 inch and 15 degree arc due to the act that the radius is half.
Answer:
ABCD is not a parallelogram
Step-by-step explanation:
Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
We have to find the length of the sides of the parallelogram using the formula below
= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)
For side AB
A(-3,2) B(-3,3)
= √(-3 -(-3))² + (3 -2)²
= √0² + 1²
= √1
= 1 unit
For side BC
B(-3,3) C (5,-3)
= √(5 -(-3))² + (-3 -3)²
= √8² + -6²
= √64 + 36
= √100
= 10 units
For side CD
C (5,-3) D (-1.-5)
= √(-1 - 5)² + (-5 - (-3))²
= √-6² + -2²
= √36 + 4
= √40 units
For sides AD
A(-3,2) D (-1.-5)
= √(-1 - (-3))² + (-5 -2)²
= √(2² + -7²)
= √(4 + 49)
= √53 units
A parallelogram is a quadrilateral with it's opposite sides equal
From the above calculation
Side AB ≠ CD
BC ≠ AD
Therefore, ABCD is not a parallelogram
Answer:
a) |n -11| = 5
b) n ∈ {6, 16}
Step-by-step explanation:
The wording of the question is ridiculous. We assume it is intended to read, "The distance between two numbers is 5. One of the numbers is 11. What are the possibilities for the other?"
a) The distance between a number (n) and 11 can be written as ...
|n -11|
Since we want that distance to be 5, we can write the equation ...
|n -11| = 5
__
b) The equation resolves to two:
Adding 11 to both sides of both equations gives ...
The two solutions are n=6 and n=16.
_____
<em>Comment on the question statement</em>
Increasingly, we see curriculum materials written in Pidgin English or where the words have a meaning different from that understood by a native English speaker. It appears you are the lucky recipient of such materials, so must do occasional "interpretation". Here, it seems that "two time a number" is intended to mean "two numbers."
You sure that’s the radius and not diameter? But if it is, the volume would be 70,276.2 cm
Answer:
The answer to your question is below
Step-by-step explanation:
1.- Find the volume of the cylinder
Data
diameter = 9 cm
radius = 4.5 cm
height = 15 cm
Formula
V = πr²h
V = π(4.5)²(15)
V = 303.75π This is te answer for the volume in terms of π
= 952.78 cm³
2.- Find the volume of the cylinder
height = 40 yd
radius = 12 yd
Formula
V = πr²h
V = π(12)²(40)
V = 5760π This is te answer for the volume in terms of π
= 18086.4 cm³
3.- What is the height .......
height = q
side length = r
4.- Volume of a pyramid
Volume = Area of the base x height
Area of the base = 11 x 11 = 121 cm²
Volume = 121 x 18
Volume = 2178 cm³
