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Helga [31]
2 years ago
12

The length, l, of the shadow cast by an object varies directly as the height, h, of the object. If k is the constant of variatio

n, which equation represents this situation?
A.
l + h = k
B.
lh = k
C.
l = hk
D.
l = h + k
Mathematics
2 answers:
ivann1987 [24]2 years ago
6 0

Answer:

lh=k

Step-by-step explanation:

it makes sense

strojnjashka [21]2 years ago
3 0

Answer:

C. l = hk

Step-by-step explanation:

the equation for direct variation is y = xk (or y/x = k) so you just replace y and x with l and h

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6= m - 7/8 HELLLLLLP
Oduvanchick [21]

Answer:

m =  6 7/8 or  55/8.

Step-by-step explanation:

6= m - 7/8

6 + 7/8 = m - 7/8 + 7/8

m =  6 7/8 or  55/8.

4 0
2 years ago
The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y
Ivahew [28]

The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is 

(x - x^2)^2 * sqrt(3)/4. 

Integrating from x = 0 to x = 1, we have 

[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4 

= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144. 

Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...

8 0
3 years ago
The price of an item has been reduced by <br> 45% <br> . The original price was <br> $17
Artist 52 [7]
Price is reduced by 45%. Which means that the new price is 55% of the original.
Therefore, (55/100)*17 = $9.35 =new price
8 0
3 years ago
This is writing an expression for the perimeter! Explain how you got your answer.
Kisachek [45]
Hey

périmètre = 2 ( x + 2 x - 5)  = 2 x + 4 x - 10 = 6 x - 10 
3 0
3 years ago
Rollie was succesful in losing weight he had a goal weight in mind he went on a diet for three months each month he would lose o
Llana [10]
Let's say that in the beginning he weighted x and at the end he weighted x-y, y being the number of kg he wanted to loose.

first month he lost
y/3

then he lost:  
(y-y/3)/3
this is
(2/3y)/3=2/9y
explanation: ((y-y/3) is what he still needed to loose: y minus what he lost already

and then he lost
 (y-2/9y-1/3y)/3+3 (the +3 is his additional 3 pounts)
 (y-2/9y-1/3y)/3-3=(7/9y-3/9y)/3+3=4/27y+3

it's not just y/3 because each month he lost one third of what the needed to loose at the current time, not in totatl

and  the weight at the end of the 3 months was still x-y+3, 3 pounds over his goal weight!


so:  x -y/3-2/9y-4/27y-3=x-y+3

we can subtract x from both sides:
-y/3-2/9y-4/27y-3=-y+3
add everything up:

-19/27y=-y+6

which means
-19/27y=-y+6

y-6=19/27y

8/27y=6
4/27y=3
y=20.25

so... that's how much he wanted to loose, but he lost 3 less than that, so 23.25

ps. i hope I didn't make a mistake in counting, let me know if i did. In any case you know HOW to solve it now, try to do the calculations yourself to see if they're correct!










5 0
3 years ago
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