I don't know if it's 74, but I got -80. here's how:
(3x + 5 x -4x + 7) (-4)
(8 x -4x + 7) (-4)
(8 x 3) (-4)
24 x -4 = -80
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!
Answer:d
Step-by-step explanation:
Hhhghjikk
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal
Step 3. Simplify the fraction (if needed)
Example:
1/2 ÷ 1/6
Step 1. Turn the second fraction upside down (it becomes a reciprocal):
1/6 becomes 6/1
Step 2. Multiply the first fraction by that reciprocal:
(multiply tops ...)
1/2 × 6/1 = 1 × 6/2 × 1 = 6/2
(... multiply bottoms)
Step 3. Simplify the fraction:
6/2 = 3
This is how you divide fractions. Now try it your self!
