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svet-max [94.6K]
4 years ago
15

A=1/2(B+b)h ; solve for b.

Mathematics
1 answer:
Tju [1.3M]4 years ago
5 0

Answer:

b = \frac{2A -Bh}{h}

Step-by-step explanation:

The given relation is :

A = \frac{1}{2}  (B + b)h

We want to solve for b

We multiply both sides by 2 to get

2A = (B + b)h

Divide through by h

\frac{2A}{h}  =B + b

Subtract B from both sides

\frac{2A}{h}  - B  = b

We now simplify the left hand side to get

\frac{2A -Bh}{h}=b

Or

b = \frac{2A -Bh}{h}

You might be interested in
The temperature of a chemical reaction ranges between 20 degrees Celsius and 160 degrees Celsius. The temperature is at its lowe
Crank

Answer:

The cosine function that models this reaction is:

y=-70cos(\frac{1}{4}\pi x) +90

Step-by-step explanation:

The general cosine function has the following form

y = Acos(bx) + k

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.

\frac{2\pi}{b} is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

The maximum temperature is 160 and the minimum is 20. Then the amplitude A is:

A =\frac{160-20}{2}\\\\A= 70

The reaction completes a cycle in 8 hours

Then the period is 8 hours.

Thus:

\frac{2\pi}{b}=8\\\\ b=\frac{2\pi}{8}\\\\ b=\frac{1}{4}\pi

The function is:

y = 70cos(\frac{1}{4}\pi x)+k

when t=0 y is minumum therefore y=-cos(x)

So

y = -70cos(\frac{1}{4}\pi x)+k

Now we substitute t = 0 in the function and solve for k

20 = -70cos(0)+k\\\\k=20+70\\\\k=90

Finally

y=-70cos(\frac{1}{4}\pi x) +90

3 0
3 years ago
Nick's rectangular bedroom has a length of (2x−5) and a width of (x+1). Which equation describes the area, A, of Nick's bedroom
Mrac [35]

Answer:

A = 2x²-3x-5

Step-by-step explanation:

Given that,

The length of the bedroom, l = (2x-5)

Width of the bedroom, b = (x+1)

We need to find an equation for the area of the bedroom. We know that,

Area of a rectangle = lb

Put all the values,

A = (2x-5)(x+1)

= 2x²+2x-5x-5

= 2x²-3x-5

Hence, the area of the bedroom is equal to 2x²-3x-5.

5 0
3 years ago
Can someone help with 5 please?
borishaifa [10]
The answer should be 8x^3-36x^2+54x-27
To get this you have to do (2x-3)(2x-3)(2x-3) and distribute through each parenthesis. Hope this helps
4 0
3 years ago
Which system of measurement uses the minim as the basic unit of liquid measure?
Alex777 [14]

<u>The apothecary system</u><u> uses the minim as the basic unit of liquid measure and the grain as the basic unit of solid measure.</u>

What is apothecary measurement?

  • The apothecary system was once a system of weights and measurements used for drug prescription and dispensing.
  • A pound was divided into 12 ounces in the English version, which also divided an ounce into eight drams or drachms and a dram into three scruples, or 60 grains.

What are the units of the apothecary system?

The grain, scruple (20 grains), dram (3 scruples), ounce (8 drams), and pound—a ancient scale of weight used in the British Isles for measuring and distributing pharmacological goods (12 ounces).

Learn more about apothecary system

brainly.com/question/10433943

#SPJ4

6 0
2 years ago
This one too pleaseeeeee
Orlov [11]
Sure thing!
Length = 14 in
Area = 294 in^2
3 0
3 years ago
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