Answer:
x = -5
x = -12
Step-by-step explanation:
- 7x - 60 = x^2 + 10x
add 7x to both sides
x^2 + 17x = -60
add 60 to both sides
x^2 + 17x + 60 = 0
factorise quadratic
(x + 12) (x + 5) = 0
<em>x = -12</em>
<em>x = -12x = -5</em>
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
Answer:
43.35pi m cubed
Step-by-step explanation:
Volume of a cylinder
= pi r^2 h
Where r = radius
h = height
Given r = 1.7m and
h = 15m
Volume = pi x (1.7)^2 x 15
= pi x 1.7 x 1.7 x 15
Multiply through
Volume = 43.35 pi m cubed
The solid in the picture is a cylinder; thus, we can use the following formula:
This formula works even if the solid is slanted.
The radius is 6 cm and the height is 5 cm.
Plug in these values into the volume formula.
The volume is 180π cm³. I hope this helps! :)