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Ostrovityanka [42]
3 years ago
7

Find cscx if sinx+cotx cosx= sqrt3

Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0

Answer:

The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

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jasenka [17]

Answer:

(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf

(b) density = 0.1206g/cm^3

(c) rho = 0.1206exp(8.27×10^-7P)

Step-by-step explanation:

(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf

(b) P = 9×10^6N/m^2

rho = 70.5exp(8.27×10^-7× 9×10^6) = 70.5exp7.443 = 70.5×1.71 = 120.6kg/m^3

rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3

(c) Formula for rho (g/cm^3) as a function of P (N/m^2) is

rho = 0.1206exp(8.27×10^-7P) (the unit of 0.1206 is g/cm^3)

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3 years ago
Find the surface area of the following triangular prism. surface area=_________ ft²
Scorpion4ik [409]
  • Answer:

<em>312 ft²</em>

  • Step-by-step explanation:

<em>3 rectangles </em>

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<em>= 48ft² + 96ft² + 120ft² + 48ft²</em>

<em>= 312 ft²</em>

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Answer:

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Step-by-step explanation:

First, we realise

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The -1.F times 9 gives us one so the days times 9 as well.

Answer = 9

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Answer:

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Step-by-step explanation:

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Plug in the values using 3.14 for pi:

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