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Lena [83]
3 years ago
9

The ratio of areas between two similar triangles is 1:4. if one side of the smaller triangle is 2 units, find the measure of the

corresponding side of the other triangle.
Mathematics
1 answer:
dimaraw [331]3 years ago
5 0
1:4
smaller side = 2
bigger side = 8 since 2/8 = 1/4
1/4 = 2/x
x=4*2=8
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Suppose that many large samples were taken from population A, which is normally distributed, and population c, which is not norm
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Answer:

Population A

Step-by-step explanation:

Think about. If population A already known for normally distribution AND you take large samples. The rest would still be distributed, Which keeps population A a Normal Distribution.

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Simplify the following expression by expanding the and collecting like terms -2 (-8x minus 4) + 3
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11

Step-by-step explanation:

-2x-8= 16

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Write the equation of the line in fully simplified slope-intercept form
DochEvi [55]

Answer:

y = 3x - 7

Step-by-step explanation:

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m = slope

b = y - intercept

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          = \frac3{1}

          = 3

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Plug in a point from the graph, ex. (3,2)

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2 years ago
Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side
maria [59]

Answer:

cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = -\frac{1}{3}

cos(b) = -\frac{1}{4}

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

         = -\sqrt{\frac{8}{9}}

         = -\frac{2\sqrt{2}}{3}

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

         = -\sqrt{\frac{15}{16}}

         = -\frac{\sqrt{15}}{4}

By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

                = \frac{1}{12}-\frac{\sqrt{120}}{12}

                = \frac{1}{12}(1-\sqrt{120})

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Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

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3 years ago
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Papessa [141]

Answer: can you explain what you mean because its just numbers

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