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trasher [3.6K]
3 years ago
8

Please help with this question and show work

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0
The diagonals of a parallelogram bisect each other so
4x - 7 = x + 2 and
5y - 8 = 3y

4x - 7 = x + 2 so 3x = 9 and x = 3

5y - 8 = 3y so 2y = 8 and y = 4
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An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
It snowed 875 inches last winter. This was 5 times the amount that it snowed the previous winter. How much did it snow the previ
Tomtit [17]
875/5=125

It snowed 125 inches the previous year. I hope I helped! :)
6 0
3 years ago
8(15-4)/4^2-5 <br>2<br> 6 <br>8<br> which one is correct
inysia [295]

Answer: 8

Step-by-step explanation: 8(15-4)/4^2-5 8(11)/16-5 88/11 = 8

3 0
3 years ago
Read 2 more answers
Factor completely 2x2 9x 4. (2x 2)(x 2) (2x 1)(x 4) (2x 4)(x 1) (2x 2)(x 4).
lozanna [386]

Factors of the given expression are (x+4), (2x+1)

Given expression is

2x^2 + 9x+4

<h3>What is a factor?</h3>

A factor is a number that divides another number completely.

Let us split the middle term as:

2x^2 + 8x + x+4\\\\2x(x+4)+1(x+4)\\\\(x+4) (2x+1)

Therefore, factors of the given expression are (x+4), (2x+1)

To get more about factors visit:

brainly.com/question/9781037

5 0
2 years ago
Kelly subtracted 2.3 from 20 and got 17.7. explain why this answer is reasonable
netineya [11]
If 20-2.3=17.7, then if you add 17.7 to 2.3. it equals 20 which is called the communicative property because whatever you add or subtract, the answer is the same
17.7+2.3=2.3+17.7
3 0
3 years ago
Read 2 more answers
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