I would estimate 7 10/12 to 8 and i would estimate 2 11/12 to 3 so 8 plus 3 would equal 11 so that would be the estimate. the actual would be 10 8/11 so the estimate would be bigger.
Answer:
So a ratio of 8:3 means for every 8 cars that is 3 trucks so we have the number of trucks which is 21 so what i did to find the answer was see how many times 3 went into 21 which is 7 times then you would take the 7 and times it by 8 and get 56 so there are 56 cars.
Step-by-step explanation:
Answer:4x−24
Step-by-step explanation:
10x−3(2x+8)
10x-(3*2x+3*8)
10x-(6x+24)
10x-6x-24
4x-24
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: 0.04166
Step-by-step explanation:
1.25+(-1/3) +(-7/8)
1.25 - 1/3 - 7/8
= -8/24 - 21/24
= -8 - 21/ 24
= -29/24
= 1.25 - 29/24
= 1.25 - 1.20833
= 0.04166
