Do the translation first by moving it. then rotate the paper 90° to get your image
We know that
2 3/8------> (8*2+3)/8-----> 19/8 ft
3 1/2-------> (3*2+1)/2-----> 7/2 ft
[volume of the rectangular prism]=(19/8)*(7/2)*(8)-------> 1064/16----> 133/2 ft³
133/2 ft³ -----> 66.5 ft³------> 66 1/2 ft³
the answer is 66 1/2 ft³
Answer:
36/40, 47/101, 192
Step-by-step explanation:
(a)The numerator (top number of the fraction) is adding up by odd numbers in order.
From 1/40 to 4/40 you add 3, from 4/40 to 9/40 you add 5, from 9/40 to 16/40 you add 7, and from 16/40 to 25/40 you add 9.
The next number to add would logically be 11. So from 25/40 you would go to 36/40.
36/40 is your next fraction.
(b)
3+4=7,4+7=11,7+11=18,11+18=29,18+29=47
(c) 1*2=2,2*2=4,2*4=8,4*8=32,8*32=256,32*256=8,192
Answer:
Step-by-step explanation:
Proportion:
substitute x = 15:
Answer:
see explanation
Step-by-step explanation:
The 2 angles form a right angle, thus their sum is 90°, hence
4x + 7 + 35 = 90
4x + 42 = 90 ( subtract 42 from both sides )
4x = 48 ( divide both sides by 4 )
x = 12
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To calculate the slope m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 4) ← 2 points on the line
m = 
= 
= 4
