Answer:
5<4
Step-by-step explanation:
This inequality is not correct though.
5-7+7<-3+7
5<4
The total fabric Morgan needs to cover the cushions will be 19.64 square feet.
It is given that each cushion has a circumference of 7.85 feet.
It is known that the circumference of a circle = 2πr, where 'r' is the radius of the circle.
2πr = 7.85
r = 1.25
<h3>What is an area of a circle?</h3>
area of a circle is πr².
now, we can calculate the area = π× 1.25² = 4.91 square feet
since each circular cushion has two circular faces so the total number of faces Morgan needs to cover will be 4.
Therefore, the total fabric needed= 4×4.91 = 19.64 square feet.
to get more about the area of a circle, refer to the link:
brainly.com/question/12069107
Sin2(x) +cos(x)=1
from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}
Answer:
Option b
Step-by-step explanation:
To write the searched equation we must modify the function f (x) = | x | in the following way:
1. Do y = f(x + 4)
This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.
y = | x +4 |
2. Do 
This operation horizontally expands the function f (x) = | x | in a factor of 4 units. 
3. Do 
This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.
4. After these transformations the function f(x) = | x | it looks like:
Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)
