38+0.11m=51+0.09m
0.02m=13
m=650 miles
If Austin will drive more than 650 miles he can choose the second plan of car renting.
If he plan todrive less than 650 miles then it's more preferable to choose the first plan of car renting
4.) The dotted line on the trapezoid is one of the lines. As you can see, to the left of the line is a right triangle. The other line should be drawn on the right side of the trapezoid to section off the other triangle. Now there is a rectangle in the middle with dimensions of 8 cm by 6 cm, and two identical triangles on either side. To find their base length, we can subtract 8 from 12 to get 4. These difference represents the sum of the two triangles' bases. Since the triangles are identical, we can divide 4 in half to get a base of 2 cm for each triangle. Therefore the triangles both have dimensions of 2 cm by 6 cm.
To find the area, we can add together the areas of the triangles and rectangle. We use length times width to find the area of a rectangle, and we use one-half base times height to find the area ofo a triangle.
Rectangle: 8*6 = 48 cm^2
Triangle: 0.5*2*6 = 6 cm^2
So the area of the trapezoid is 48 + 6 + 6 = 60 cm^2
Answer:
15
Step-by-step explanation:
A triangle's area is its base times height divided by 2.
Answer:
1/4 = 2/8
Step-by-step explanation:
<h2>—Math</h2>
1/4 = p/8
p = 8/4
p = 2
<em>Follow </em><em>my </em><em>account^</em><em>^</em>
Answer:
1 inches per cube
As required.
Step-by-step explanation:
Solution:
Given:
Volume = l3
dV / dt = 3 l2dl / dt
dv / dt = 0.5 inches cubed / hour
Surface area = 6 l2
Differentiate with respect to t: s = 6 l2
We get:
ds / dt = 12 l dl / dt
and dv / dt = = 0.5 inches cubed / hour
we know that:
dv / dt = 20 = 3 l2dl / dt
0.5 = 3 l2 (dl / dv)(dv / dt)
0.5 = 3l2 dl / dt
0.5 / 3l2 = dl / dt
Put 0.5 / 3l2 = dl / dt in eq ds / dt = 12 l dl / dt
ds / dt = 12 l (0.5 / 3l2)
= 4(0.5) / l
= 2 / 2 inches pr cube [ l = 2 inches per cube]
= 1 inches per cube
As required.
