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elena-s [515]
3 years ago
6

I need some help with this math question

Mathematics
1 answer:
Vilka [71]3 years ago
6 0
The answer is 63 cm bc 30 60 90 triangles have a rule where the short leg is x longer is x√3 and the hypotenuse is x2
you can see this if you imagine the triangle as equilateral then cutting it in half
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What is the solution set of the following system of equations?
9966 [12]
5x - 3y = 10
x + y = 7......multiply by -5
------------------
5x - 3y = 10
-5x - 5y = -35 (result of multiplying by -5)
------------------add
-8y = -25
y = 25/8

x + y = 7
x + 25/8 = 7
x = 7 - 25/8
x = 56/8 - 25/8
x = 31/8

solution is (31/8 , 25/8)

6 0
3 years ago
A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census o
goldfiish [28.3K]

Answer:

Population = 75,342 households

Sample = 400 randomly selected households

The percentage who live in a single household unit = Parameter

The average of 2.9 person per household of all households in the city = parameter

The $65,000 median family income of all the households in the city = Parameter

Step-by-step explanation:

The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.

The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.

Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.

6 0
3 years ago
Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cum
Sergeeva-Olga [200]

The dividends per share on each class of stock for each of the four years for Seventy-Two Inc. are as follows:

<h3>Cumulative Preferred Stock:</h3>

                                            Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $32,000    $40,000    $36,000        $36,000

Outstanding shares          60,000      60,000      60,000           60,000

Dividend per share           $0.53       $0.67          $0.60             $0.60

<h3>Common Stock:</h3>

                                          Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $0              $32,000     $44,000       $64,000

Outstanding shares        400,000    400,000     400,000       400,000

Dividend per share        $0              $0.08            $0.11              $0.16

<h3>Data and Calculations:</h3>

                              3% Cumulative Preferred       Common Stock

Outstanding shares          60,000                        400,000

Par Value                            $20                              $25

Total value                       $1,200,000              $10,000,000

Annual dividend            $36,000 ($1,200,000 x 3%)

                                            Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $32,000    $72,000    $80,000       $100,000

Cumulative Preferred      $32,000    $40,000    $36,000        $36,000

Common Stock                $0              $32,000    $44,000        $64,000

Learn more about dividends at brainly.com/question/25845157

#SPJ1

3 0
2 years ago
Fill in the y-value for each box in the t-chart using the equation below !?
riadik2000 [5.3K]
3,4,7 just plug the x into the equation
3 0
2 years ago
Find the value of x in the given<br> right triangle.<br> 10<br> х
ki77a [65]

Answer:

44.4

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

sin theta = opp / hyp

sin x = 7/10

Taking the inverse sin of each side

sin^-1 (sin x) = sin^-1(7/10)

x = 44.427

Rounding to the nearest tenth

x = 44.4

4 0
3 years ago
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