Answers:
- Lateral Area = 108 square km
- Surface Area = 120 square km
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Explanation:
Think of the triangles as the floor and ceiling of this 3D room. The walls are the three rectangular sides.
We have a 9 by 4 wall with area 9*4 = 36 square km
We have a 9 by 3 wall with area 9*3 = 27 square km
We have a 9 by 5 wall with area 9*5 = 45 square km
The lateral area is 36+27+45 = 108
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The two triangles form the base faces of this prism.
Let's find the area of one of the triangles
area = 0.5*base*height = 0.5*3*4 = 6
One triangle has area 6, so both triangles in total have area 2*6 = 12 square km.
The total surface area is therefore 108+12 = 120 square km
We have 128 ounces = 1 gallon ⇒ 1 ounce = 1/128 gallon
⇒ 8 ounces = 1/16 gallon
So 1/16 × $3.80 = $ 0.2375 ⇒ 8 ounces of milk costs $ 0.2375
Answer:
Plants are restrictive to flow of eroding agents, bind soil in their roots.
Step-by-step explanation:
Soil Erosion is the wearing away of the topmost fertile layer of soil. Topsoil gets eroded mainly due to wind, water agents.
Plants help to prevent soil from erosion in following ways :
- Plants act as restriction to the speed of air & water, which are the main soil erosion agents. It also lets rain water get soaked into the ground water.
- Plants roots also bind the soil tightly, & make soil stronger to be eroded by erosive agents - water, air. Eg : Shrubs , trees, grass & ground are important soil erosion preventive plants, because of their extensive root systems.
B is the starting point of the function. It is when x = 0 on the y axis.
Any line parallel to the given line will have the same slope as does the given line. Here that slope is -9.
The new line passes thru (-2,5).
Therefore, using the slope-intercept form,
5 = -9(-2) + b. Find b: 5 = 18 + b, so b = -13. The equation of the new, parallel line is then
y = -9x - 13 (answer to first question).
If you want the slope of a line perpendicular to the given line, use the "negative reciprocal" of the slope of the given line as the slope of the new, perpendicular line. Thus, the new slope will be -1/(-9), or (+1/9).
Use the slope-intercept form, with slope = (1/9), to find the line perpendicular to the given line that passes thru the given point. Share your work, please.