Find the measure of FYT. Could someone please explain how to solve this?

Find the measure of FYT.

Could someone please explain how to solve this?


[tex]Find the measure of FYT. Could someone please explain how to solve this?[/tex]

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  1. 16) 54cm^2

    17) 16cm^2

    Step-by-step explanation:

    16) b² + h² = H²

    12² + h = 15²

    144 + h = 225

    h = 225 - 144

    h = √81

    h = 9

    A = 1/2 x b x h

    A = 1/2 x 12 x 9

    A = 54cm²

    17) same method as no 16

    h + 9 = 25

    h = 25 - 9

    h = √16

    h = 4

    A=1/2 x b x h

    A = 1/2 x 3 x 4

    A = 16cm²

  2. x = 1.875

    Step-by-step explanation:

    Step 1:  Distribute

    1/2x + 3/2(x + 1) - 1/4 = 5

    1/2x + 3/2x + 3/2 - 1/4 = 5

    Step 2:  Combine like terms

    4/2x + 6/4 - 1/4 = 5

    2x + 5/4 = 5

    Step 3:  Subtract 5/4 from both sides

    2x + 5/4 - 5/4 = 5 - 5/4

    2x = 3.75

    Step 4:  Divide both sides by 2

    2x / 2 = 3.75 / 2

    x = 1.875

     x = 1.875

  3. 33 1/3%

    Step-by-step explanation:

    When you roll a die, the possible outcomes are 1,2,3,4,5,6

    getting a number less than 5: 1,2,3,4

    P( getting a number less than 5)

             = number of outcomes that meet conditions / total outcomes

             =4/6

               = 2/3                                            

    Then we flip a coin  heads or tails

    We want heads

    P (heads)  = number of outcomes that meet conditions / total outcomes

        = 1/2

    Since the event outcomes do not depend on each other

    P( getting a number less than 5) *P (heads) = 2/3 * 1/2 = 1/3

    as a percent

    = 33 1/3%

  4. You're in luck !  Momentum is the product of (mass) times (velocity). 

    So if you're given mass and velocity, simply multiply them, and voila,
    you have the momentum.

  5. all real numbers

    Step-by-step explanation:

    simplify each side of the inequality

    26 + 6b -- already fully simplified

    2(3b + 4) → 6b + 8

    26 + 6b ≥ 6b + 8

    subtract 6b from both sides

    26 ≥ 8

    since this expression is true (26 is greater than 8), then the solution is all real numbers. any value could take the place of b because in the end, it will be canceled out by itself, resulting in 26 ≥ 8

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