Answer:
r = 0.0424 cm (3sf)
Step-by-step explanation:
it makes 150 rev/sec
1 revolution = 1 circumference = 2pi*r
so every second the spool goes through 2*pi*r*150 of distance
we know that the rate of pulling is 40cm/sec
so 2pi*r*150 = 40
r = 40/(2pi*150), which is 0.04244131816 cm.
check: Circumference is 2pi*r = 0.2666
now multiply by 150rev/sec = 40 cm/sec
The fourth table is the correct answer
Answer:
WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.
Step-by-step explanation:
The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).
Plot these points on coordinate plane and draw the quadrilateral as shown below.
Using this formula, we get
Now,
Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.
Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.
Answer:
$3.75
Step-by-step explanation:
Given:
Natalie buys a cooper wire that is 3 feet long.
The cost of the wire is $1.25 per foot.
Question asked:
What is the total cost, in dollars, of Natalie's wire?
Solution:
<u>By unitary method:</u>
Total length of wire = 3 feet
Each foot of wire cost = $1.25
3 feet of wire cost = $1.25
3 = $3.75
Thus, total cost of wire is $3.75