Answer:
Step-by-step explanation:
<u>Operation of Functions</u>
Given:
The sum of (f+g) (x) is:
We cannot operate with the expression inside the absolute bars, thus:
I think its $ 3.13 I'm not positive tho
Answer:
x = 
Step-by-step explanation:
Given
y = 
( multiply both sides by x - 5
y(x - 5) = 4 - 3x ( distribute left side )
xy - 5y = 4 - 3x ( add 3x to both sides )
xy + 3x - 5y = 4 ( add 5y to both sides )
xy + 3x = 4 + 5y ← factor out x from each term on the left side
x(y + 3) = 4 + 5y ← divide both sides by y + 3
x =
Answer:
Heyyy
Step-by-step explanation:
Answer:
340 units2
Step-by-step explanation:
draw perpendicular line from upper left corner of trapezoid to cut bottom line(=9) into two part having length 3 and 6. Now a triangle and rectangle are formed.
The triangle has base=3, angle 60 degrees and angle of 90 degrees.
Finding third angle:
180-60-90= 30
finding other two sides of triangle by using law of sines:
a/sinA=b/sinB
3/sin30=b/sin60
b=3sin60/sin30
b=3(0.866)/0.5
b=5.2
b is the perpendicular line we drew
a/sinA=b/sinB
3/sin30=c/sin90
c=3sin90/sin30
c=3(1)/0.5
c=6
c is the hypotenuse of the triangle
Now Finding the perimeter of base:
The perimeter of the base=sum of the lengths of sides.
p=6+9+6+5.2
=26.2
area of trapezoid:
A= (a+b)h/2
= (6+9)(5.2)/2
=39
total surface area of prism:
TSA= ph + 2A
where h is height of prism = 10
TSA= 26.2(10) + 2(39)
=340
Hence total surface area of the given prism is 340 units square!
