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azamat
3 years ago
8

I need urgent help with this. please write out the working and the answer thank you

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0
1.         C = ⁵/₉F - 32
          9C = 9(⁵/₉F - 32)
          9C = 9(⁵/₉F) - 9(32)
          9C = 5F - 288
        - 5F  - 5F
  9C - 5F = -288
- 9C           - 9C
         -5F = -9C - 288
          -5           -5
            F = 1⁴/₅C + 57.6

2. H = w + \frac{50}{m^{2}}
    m^{2}(H) = m^{2}(\frac{50}{m^{2}})
    Hm^{2} = 50
    \frac{Hm^{2}}{H} = \frac{50}{H}
    m^{2} = \frac{50}{H}
    \sqrt{m^{2}} = \sqrt{\frac{50}{H}}
    m = \frac{\sqrt{50}}{\sqrt{H}}
    m = \frac{5\sqrt{2}}{\sqrt{H}}
    m = \frac{5\sqrt{2}}{\sqrt{H}} * \frac{\sqrt{H}}{\sqrt{H}}
    m = \frac{5\sqrt{2H}}{H}

3.                    A = 5 + 4√x
                     - 5  - 5
                  A - 5 = 4√x
              (A - 5)² = (4√x)²
    A² - 10A + 25 = 16x
             16             16
¹/₆A² - ⁵/₈A + 1⁹/₁₆ = x

4. A = \frac{b + c}{b}
    Ab = b(\frac{b + c}{b})
    Ab = b + c
    Ab - b = c
    b(A) - b(1) = c
    b(A - 1) = c
    \frac{b(A - 1)}{A - 1} = \frac{c}{A - 1}
    b = \frac{c}{A - 1}
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