Answer:
The pieces are 55 inches, 55 inches and 46 inches long
Step-by-step explanation:
A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.
Let us first convert the length of the board to inches:
1 ft = 12 inches
13 ft = 12 * 13 = 156 inches
Let the length of each of the other two pieces be x.
Therefore, the length of the third piece is (x - 9)
Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:
x + x + (x - 9) = 156
x + x + x - 9 = 156
=> 3x = 156 + 9
3x = 165
x = 165 / 3 = 55 inches
Each of the first two pieces are 55 inches long.
The length of the third piece will be:
55 - 9 = 46 inches
The pieces are 55 inches, 55 inches and 46 inches long.
Fraid not. This time, you did it left.
The tool to use is "Vertical" angles are equal. (They don't add up to 180 degrees.)
3y + 120 = 5y + 100
(you should fill in the missing steps)
y = 10°
The upper/lower pair of vertical angles are both 150°.
.
2x = 6x - 60
(you should fill in the missing steps)
x = 15°
The left/right pair of vertical angles are both 30°.
It's any two angles NEXT TO each other that add up to 180°.
Notice here that (150° + 30°) = 180° .
Answer:
6224
Step-by-step explanation:
Just multiply the two subjects.
Hope this helps :)
A little playing around with plane figures (and/or distance equations) will convince you that this set of points is a sphere centered at
... c = (4b -a)/3 = (25/3, 1, -11/3) . . . . center
with a radius 2/3 of the length ab.
... r = (2/3)√(7² +3² +5²) = (2/3)√83 . . . . radius
Then the equation of this spherical set of points is
... (x -25/3)² +(y -1)² +(z +11/3)² = 332/9
Answer:
q=2.61
Step-by-step explanation:
I think it's 2.61 because r+s=1.61. that plus 1 is 2.61