Answer:
15 meters and 25 meters long
Step-by-step explanation:
<em>There are 2 pieces of rope</em>.
Total length of both---> 40 meters
Length of piece 1 ------> x
Length of piece 2 -----> x + 10
<em>Find the value of x.</em>
<em>Form an equation ----> Length of piece 1 + length of piece 2 = total length</em>
x + (x + 10) = 40
2x + 10 = 40
2x = 30
x = 15
Length of piece 1 --> x ---> 15
Length of piece 2 --> x + 10 ----> 15 + 10 = 25
Therefore, one piece is 15 meters long and the other piece is 25 meters long.
Suppose,
x = distance of the man
<span>s = length of the shadow</span>
<span>Using the idea of similar triangles</span>
<span>6/s = 23/(x + s) </span>
<span>Simplifying:</span>
we get,
<span>6(x + s) = 23s </span>
<span>6x + 6s = 23s </span>
<span>6x = 17s </span>
<span>Differentiating with respect to time, </span>
<span>6(dx/dt) = 17(ds/dt) </span>
<span>Manipulating the above equation for ds/dt,</span>
<span>ds/dt = (17/6)(dx/dt) </span>
<span>ds/dt = (17/6)(6) </span>
<span>ds/dt = 17 ft/sec.</span>
Step-by-step explanation:
7/160 select water after practice
steps
35/800*100%
Answer:
336km^2
Step-by-step explanation:
There are 2 triangles and 3 squares in this 3D shape.
To find the surface area of this shape, you need to find the area add all the 5 shapes (height ✖️length) and add them.
area of the triangle: 8✖️9/2=36 +36<-- 2nd triangle=72km^2
area of a square: 11✖️8=88✖️3=264km^2
264+72=336km^2
Answer:
Perimeter = 46.6 m
Area = 78.36 m²
Step-by-step explanation:
Perimeter is just the outsides, so add 3.7 + 12.3 + 4.5 +11 AND the sides you aren't given. To find them, you do 11-3.7 = 7.3 and 12.3-4.5 = 7.8. So you add 3.7 + 12.3 + 4.5 + 11 + 7.3 + 7.8 = 46.6
Area is the inside, so you multiply length by width. You can split it different ways, but I multiplied by 3.7*12.3 first, giving 45.51. Now to find the area of the other box, you need to subtract 11 by 3.7, which we saw was 7.3. Now we can multiply 7.3 by 4.5, which is 32.85. Then you add 45.51 and 32.85 to get 78.36.