Answer:
Divide total length by length of each piece to get the number of pieces.
= 30 ÷ 2/3
multiply by reciprocal of 2/3
= 30 * 3/2
= 90/2
= 45
ANSWER: Total number of pieces that can be cut is 45.
Step-by-step explanation:
(3×6) + (2×6)
= 18 + 12
= 30 in²
Step-by-step explanation:
I think you mean triangle XYZ. and angle XYZ.
so, the angle at Y is 90°.
that makes XZ the Hypotenuse (baseline opposite of the 90° angle) of the right-angled triangle.
so, we can actually use Pythagoras (we don't need the area of the triangle to solve) :
13² = 12² + YZ²
169 = 144 + YZ²
25 = YZ²
YZ = 5 cm
just to check - the area of this triangle is (remember, it is a right-angled triangle, so XY and YZ serve also as baseline and height) :
area = 12 × 5 / 2 = 60/2 = 30 cm²
correct, it fits.
<span>Simplifying
u(x) = -2 + -2x + 7
Multiply u * x
ux = -2 + -2x + 7
Reorder the terms:
ux = -2 + 7 + -2x
Combine like terms: -2 + 7 = 5
ux = 5 + -2x
Solving
ux = 5 + -2x
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Divide each side by 'x'.
u = 5x-1 + -2
Simplifying
u = 5x-1 + -2
Reorder the terms:
u = -2 + 5x-1</span>
