Answer:
The corresponding point is (5,8)
Step-by-step explanation:
In this problem we know that
The rule of the transformation is equal to
(x,f(x)) ------> (x,f(x)+4)
so
for the point (5,4)
x=5, f(x)=4
substitute
(5,4) ------> (5,4+4)
(5,4) ------> (5,8)
therefore
The corresponding point is (5,8)
By synthetic division,
-5 | 1 -6 -42 79
. | -5 55 -65
- - - - - - - - - - - - - - - - -
. | 1 -11 13 14
When
, you're left with a remainder of 14.
Answer:
90%
Step-by-step explanation:
Since 90/100 seats are taken then we can say;
90/100=9/10=.90*100=90%
You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:
Where
A is the area
π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14
r is the radius
h is the height of the cylinder
The given cylinder has a height of h=15m and a diameter of d=6m
To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2
Now you can calculate the lateral area as follows:
Charlie will need 282.6 m² to cover the lateral side of the cylinder.