Answer:
1. 15, 13
2. 12, 6
3. 130,135
4. 44, 41
5. 42, 52
Step-by-step explanation:
1. the answer is 15,13 because the sequence goes with minus 2
2. the answer is 12,6 because the sequence goes with divided by 2
3. the answer is 130,135 because the sequence goes with plus 5
4. the answer is 44, 41 because the sequence goes with minus 3
5. the answer is 42,52 because the sequence goes with plus 10
12. >13. =14. <15. <16. >17. >
Answer is : f^-1 (x)=-2x/3+1
Answer:
32
Step-by-step explanation:
the x is not a variable
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!
