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timama [110]
3 years ago
14

61 divided by 5320 use compatible numbers to estimate the quotient

Mathematics
2 answers:
slavikrds [6]3 years ago
6 0
87.21311475409836 to shorten it , it will be 87
Digiron [165]3 years ago
3 0
It is 886.6666666667
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What is the solution to the equations x^2-2x+y=8 and x-y=-2
kherson [118]
Hello!!

For the first equation:

-2x + x^2 + y = 8   (Solve for y)

y = -x^2 + 2x +8

For the second equation:

x - y = -2   (Solve for y)

-y = -x - 2

-y = x + 2

Good luck :)

6 0
4 years ago
A water trough is 7 feet long, and its cross section is an equilateral triangle with sides 4 feet long. Water is pumped into the
Tju [1.3M]

Answer:

a. An equilateral triangle main characteristic is that all the sides lenght are the same (s). To find the height (h), we could divide the triangle (as seen in the picture) and apply Pytagorean theorem.

(\frac{s}{2}) ^{2} +h^{2}=s^{2}

Clearing the expression, we obtain: h= \frac{\sqrt{3}}{2}s

b. Knowing the rate at which the volume is changing 4 ft^{3}, we can find the relation between the change in the volume and the height.

V=A*h

As we want to express the volume in terms of the height, we have to find the area in terms of height

A=\frac{base*height}{2}

Base=s=\frac{2h}{\sqrt{3}}

Therefore, A=\frac{\frac{2h}{\sqrt{3}} *h}{2} =\frac{h^{2} }{\sqrt{3}}

V=7 ft*\frac{h^{2}}{\sqrt{3}}

Therefore the change in the volume with the height, will be the derivate of this expression

\frac{dV}{dt} =2*7*\frac{h}{\sqrt{3}} (\frac{dh}{dt}  )

Knowing dV/dt=4 cubic feet per second, and h=1/2 foot, we can know dh/dt

\frac{dh}{dt}=\frac{\frac{dV}{dt}*\sqrt{3}}{7*2*h} =\frac{4*\sqrt{3} }{14*\frac{1}{2} }=0.98 ft/sec

Step-by-step explanation:

7 0
4 years ago
Chapter 18 Review nswer the following problems. Daniel has 7 trophies he has won playing soccer. How many different ways can he
stellarik [79]
The answer is 5040, all you do is 7x6x5x4x3x2
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3 years ago
Someone please help asap i’m clueless :(
Vadim26 [7]

19. measure angle 1 is 135°

20. measure angle 4 is 90°

21. measure angle 5 is 90°

22. measure angle 8 is 45°

3 0
4 years ago
What is 123,456,789,876,543,212,345,678,876,543x 125,667,889,007,123,556,349?
Alex787 [66]

Answer: Hello Luv......

1.5514554e+49

Step-by-step explanation:

Mark me brainest please.

Hope this helps.

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3 years ago
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