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3 years ago

Simplify. 1/4(1−2/3)2+1/3

Mathematics

1 answer:

Effectus [21]3 years ago

8 0

Answer:

1/2

Step-by-step explanation:

1/4(1−2/3)2+1/3

1/4(1 /3)2+1/3

1/12*2+1/3

1/6 + 1/3

1/6 + 2/6

3/6

1/2

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natulia [17]

Should be tan positive 30

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3 years ago

The list shows the number of stories in the 11 tallest buildings

tangare [24]

The median and mode of the given data is 30 and 32 respectively.

Step-by-step explanation:

Given,

The number of stories in 11 buildings are 17,19,20,21,24,30,33,37,38,40,40

To find the median and mode of the data.

Formula

Mean = sum of the data ÷ number of terms

If the number of term is odd, the median = $\frac{n+1}{2}$ th term

Mode = 3 Median - 2 mean

Now,

Mean = (17+19+20+21+24+30+33+37+38+40+40)÷11 = 29

Median = $\frac{11+1}{2}$ th term = 6th term = 30

Hence,

Mode = 3×30-2×29

= 90-58 = 32

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3 years ago

Write an equation of the parabola that opens up whose vertex (−1, 2) is 3 units from the focus. (Vertex form or Parabola Form is

TEA [102]

Answer:

y2 = 4ax (opens right, a > 0)

y2 = -4ax (opens right, a > 0)

x2 = 4ay (opens up, a > 0)

x2 = -4ay (opens down, a > 0)

Vertex at (h, k) :

(y - k)2 = 4a(x - h) (opens right, a > 0)

(y - k)2 = -4a(x - h) (opens right, a > 0)

(x - h)2 = 4a(y - k) (opens up, a > 0)

(x - h)2 = -4a(y - k) (opens down, a > 0)

Equation of a Parabola in Vertex form

Vertex at Origin :

y = ax2 (opens up, a > 0)

y = -ax2 (opens down, a > 0)

x = ay2 (opens right, a > 0)

x = -ay2 (opens left, a > 0)

Vertex at (h, k) :

y = a(x - h)2 + k (opens up, a > 0)

y = -a(x - h)2 + k (opens down, a > 0)

x = a(y - k)2 + h (opens right, a > 0)

y = -a(y - k)2 + h (opens left, a > 0)

Step-by-step explanation:

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3 years ago

Find the measure of each angle of triangle abc, given ac=6, cb= 2 square roots of 3, and ab= 4 square roots of 3

Mazyrski [523]

Note that
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So angle C = 90 degrees

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and B = 90 - 30 = 60 degrees

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