Answer:
Step-by-step explanation:
2
The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units
<h3>Properties of a square.</h3>
- All the sides are equal.
- Opposite sides are parallel to each other.
- The diagonal intersects at right angle.
Using Pythagoras theorem the value of x can be found as follows:
c² = a² + b²
where
- c = hypotenuse
- a and b are other legs
Therefore,
8² = x² + x²
64 = 2x²
x² = 64 / 2
x = √32
x = 5.65685424949
x = 5.7 units
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We're looking for C(h), where h is the hundreds of shirts. The fact that they cost "$500 for each additional 100 t-shirt" tells us the slope is 500. Knowing that 1 hundred costs 750, we could use point-slope at this point: (C - 750)/(h - 1) = 500C - 750 = 500h - 500C(h) = 500h + 250 We can check that C(1) = 750 and C(2) = 1250, as we expect. I'll leave it to you to evaluate C(5).
Answer: B
Step-by-step explanation:
Division of components are consistent - the same
6(4x + 5) = 3(x + 8) + 3
24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
24x - 3x = 27 - 30
21x = - 3
x = -3/21
x = - 0.143 <==
