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3 years ago

Calcutate these values:

Mathematics

2 answers:

Anna71 [15]3 years ago

6 0

Answer: A) 84.5 kg

B) 76.26 cm

C) $402.50

D) $390.00

Step-by-step explanation:

Increase means "ADD the rate to 1".

Decrease means " SUBTRACT the rate from 1".

The rate should should be in decimal form (move the decimal two places to the left to convert a % to a decimal).

A) 65(1 + 0.30)

= 65(1.3)

= 84.5

B) 82(1 - 0.07)

= 82(0.93)

= 76.26

C) 350(1 + 0.15)

= 350(1.15)

= 402.5

D) 500(1 - 0.22)

= 500(0.78)

= 390

Anettt [7]3 years ago

3 0

A.84.5

B.76.26

C.402.5

D.390

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Part 2) The equation of the perpendicular bisector side BC is $y=\frac{2}{3}x+\frac{11}{3}$

Part 3) The equation of the perpendicular bisector side AC is $y=-3x+4$

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Step-by-step explanation:

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A(–2, 0), B(0, 8)

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The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{8-0}{0+2}$

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step 2

Find the slope of the perpendicular line to side AB

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If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

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Find the equation of the perpendicular bisectors of AB

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substitute

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we have

B(0, 8) and C(4, 2)

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Find the slope BC

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

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Find the slope of the perpendicular line to side BC

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

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$m=\frac{y2-y1}{x2-x1}$

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step 2

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If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

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using a graphing tool

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