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Svetlanka [38]
3 years ago
8

You spent z dollars today. Today, you spent 5.5 times as many dollars as you spent yesterday. Which expression correctly shows h

ow much you spent yesterday?


5.5z



5.5 ÷ z



5.5(1 − z)



z ÷ 5.5



none of the above
Mathematics
1 answer:
lilavasa [31]3 years ago
3 0

Answer:

Z ÷ 5.5

Step-by-step explanation:


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Answer:

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Step-by-step explanation:

The point-slope form of the equation for a line is generally written ...

  y -k = m(x -h)

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The slope of your parallel line is the same as the slope of the reference line, -5. So your equation is ...

  y -8 = -5(x -6)

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X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
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Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

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Answer:

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