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3 years ago

B(h+w)=4h(11-j), solve for w

Mathematics

1 answer:

frozen [14]3 years ago

4 0

Answer:

W=4h(11-j)/b-h

Step-by-step explanation:

Eliminate variables on the left side first.

b(h+w) = 4h (11-j) - so, divide b by both sides

(h+w)/b=4h(11-j)/b then, eliminate h by subtracting on both sides.

(h+w)-h=4h(11-j)/b - h (h is eliminated on the left side and now you are left with

W=4h(11-j)/b - h

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9514 1404 393

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

A farmer is designing a field for his new horse. In order for the field to fit into his farm, the angle θ must be less than 40◦,

vovangra [49]

Answer:

The field will not fit

Step-by-step explanation:

To find the angle, we will use cosine rule;

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C in this case is θ

Thus;

15² = (8² + 20² - 2(8 × 20)cos θ)

225 = (64 + 400 - 320cos θ)

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cos θ = 239/320

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5 0

3 years ago

Please help! It's due soon.

Sedbober [7]

Answer:

Because f(g(x)) = g(f(x)) = x, f and g are inverse functions.

Step-by-step explanation:

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6 0

3 years ago

The annual energy consumption of the town where Camilla lives in creases at a rate that is onal at any time to the energy consum

boyakko [2]

Answer:

6.575 trillion BTUs

Step-by-step explanation:

Let represent the annual energy consumption of the town as E

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dE/dt * E

dE/dt =K

k = the proportionality constant

c= the integration constant

(dE/dt=) kdt

lnE = kt + c

E(t) = e^kt+c ⇒ e^c e^kt e^c is a constant, and e^c = E₀

E(t) = E₀ e^kt

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set t = 0 then

4.4 = E₀ e⇒ E₀ (1)

E₀ = 4.4

E (t) = 4.4e^kt

The consumption after 5 years is t = 5, e(5) = 5.5TBTU

so,

E(5) = 5.5 = 4.4e^k(5)

e^5k = 5/4

We now take the log 5kln = ln(5/4)

5k(1) = ln(5/4)

k = 1/5 ln(5/4) = 0.04463

We find the town's annual energy consumption, after 9 years

we set t=9

E(9) = 4.4e^0.04463(9)

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Therefore the annual energy consumption of the town after 9 years is

= 6.575 trillion BTUs

3 0

3 years ago