Answer:
a total of 24 presents can be wrapped
Step-by-step explanation:
6 x 3 = 18 feet of ribbon
18 x 12 = 216 inches of ribbon
216/9 = 24 presents can be wrapped
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:

We can find the base by solving equation (1) for b:

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
Answer:
False
Step-by-step explanation:
Angles a and b add to 180° (linear pair), so angle b is 68°.
Answer:
9)x=11 y=3
11)x=18 y=5
Step-by-step explanation:
9) 9x+25=13x+19 13x-19+17y+5=180
9x+44=13x 129+17y=180
44=4x 17y=51
11=x y=3
11) 49+3x=7x-23 3x=11y-1
Answer:
Given the size of rectangular plate in advertisement = 5 cm by 3cm.
Given the condition for length should be = 0.25 of 5 cm
Step-by-step explanation:
Now, have to write the inequality from the given data.
Therefore, 5- 0.25 ≤ L ≤ 5+.25
4.75 ≤ L ≤ 5.25
We know that the area of a rectangle = Length × Width.
Width = 3
Thus, the area is 3 × L
3× (4.75) ≤ 3×L ≤3× (5.25)
14.25 ≤ 3×L ≤ 15.75
So the minimum area is 14.25 cm^2
The maximum area is 15.75 cm^2