Answer:
Twine needed to wrap 29 cartons = 51.55 yards
Explanation:
1 feet = 0.3333 yard
1 inch = 0.0277778 yard
Twine needed to wrap one carton = 1 yard, 2 feet, 4 inches
= 1 + 2 x 0.3333 + 4 x 0.027778
= 1.777712 yards.
Twine needed to wrap 29 cartons = 1.777712 x 29 = 51.55 yards.
Twine needed to wrap 29 cartons = 51.55 yards
12x^3-11x^2+9x+18 divided by 4x+3
put he division into fraction
12x^3-11x^2+9x+18/4 x +3
reduced fraction by 2
12x^3-11x^2+9x+9/2 x +3
calculate sum
12x^3-11x^2+27/2 x +3
that is your answer ^
hope this helps :)
Answer:
m and k
Step-by-step explanation:
Answer: AB will be parallel to A'B'.
Step-by-step explanation: We know the definition of dilation about the centre. It is defined as the enlargement or shrinken of the original figure keeping the centre of dilation or the figure as fixed.
We are given ΔUVW and AB is perpendicular to UW. Now, if we dilate the triangle about the origin, then the triangle will either enlarge or shrink keeping the centre fixed.
Let us consider the enlarged triangle, ΔU'V'W' as shown in the attached figure. Also, line AB will move to the new position A'B'. We can clearly see that both the lines are parallel to each other.
Thus, the line segments AB and A'B' will be parallel too each other.
Answer:
x = 11/3 = 3 2/3
y = 13/3 = 4 1/3
Step-by-step explanation:
Here, we want to solve the system of equations simultaneously
x + y = 8
2x -3 = y
From the second equation, we have an equation for y
we can simply proceed to substitute this into the first equation
x + 2x - 3 = 8
3x - 3 = 8
3x = 8 + 3
3x = 11
x = 11/3
Recall;
y = 2x - 3
y = 2(11/3) - 3
y = 22/3 - 3
y = (22-3(3))/3
y = (22-9)/3 = 13/3
