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HACTEHA [7]
4 years ago
5

Absolute value of -4 - 8i

Mathematics
1 answer:
Nitella [24]4 years ago
4 0
√80 because the absolute value for complex numbers of the form a+bi are evaluated as √a²+b²
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What does the number line above represent?
sattari [20]
It is the last one. A closed circle means less than or equal to, so that crosses out the top two. The third says five is greater and we know that is not true because the line is decreasing in value. It must be the fourth.
8 0
3 years ago
You are sitting on the ground flying a kite.
Neko [114]

Answer:

Height of the kite = 36 feet

Step-by-step explanation:

Triangle attached in the figure shows the complete picture,

I am sitting at point A, string connecting the kite and me is side AC, height of the kite from the ground is side BC and side AB representing the distance between me and the kite.

Length of side BC = h

Length of side AC = 39 feet

Length of side AB = 15 feet

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(39)² = (15)² + h²

h² = 1521 - 225

h² = 1296

h = √1296

h = 36 feet

Therefore, kite is at 36 feet height.

5 0
3 years ago
A 2-column table with 9 rows. The first column is labeled year with entries 1970, 1975, 1980, 1985, 1990, 1995, 2000, 2005, 2010
Nataly_w [17]

The mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:

  • Mean ≈ 4.1 pounds
  • Median = 4.44

<h3>How to find mean and median of a data?</h3>

Mean is the ratio of sum of the observations to the total number of observations.

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

For the given case, the data observations are:

3.25, 3.25, 3.66, 3.83, 4.57, 4.52, 4.74, 4.69, 4.44 (they are measurement of pounds of trash for specified years(in the problem statement) )

They are total 9 observations.

Their sum is 36.95 approx.

Thus, mean of this data set = sum/number of observations \approx 36.95/9 \approx 4.1

Arranging the data in ascending order gives

3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74

There are 9 values, therefore, the fifth value would be median as to its left and to its right will lie four-four observations.

Thus, median of the data set = 4.44

Therefore, the mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:

  • Mean ≈ 4.1 pounds
  • Median = 4.44

Learn more about mean and median here:

brainly.com/question/16118626

4 0
2 years ago
Cos^2x-cos^6x=sin4xsin8x
tino4ka555 [31]
(cos2x+cos6x)(cos2x-cos6x) =

(2 sin 4x cos 4x) (2 sin 2x cos 2x) =

sin 8x sin 4x (Answer)
6 0
3 years ago
Apply the distributive propertyto create an equivalent expression. 1/2(6e-3f-3/4)
poizon [28]

3e - \frac{3}{2} f - \frac{3}{8}

multiply each of the terms in the parenthesis by \frac{1}{2}

\frac{1}{2} (6e - 3f - \frac{3}{4} )

= 3e - \frac{3}{2} f - \frac{3}{8}


8 0
3 years ago
Read 2 more answers
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