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Slav-nsk [51]
3 years ago
7

Solve for the length of the hypotenuse

Mathematics
2 answers:
Rudiy273 years ago
6 0

Answer:

5000

Step-by-step explanation:

3000^{2} + 4000^{2} = 25000000

\sqrt{25000000} = 5000

Inessa [10]3 years ago
3 0

Answer:

5000

Step-by-step explanation:

In a right triangle ,

{c}^{2}  =  {a}^{2}  +  {b}^{2}

=  > c =  \sqrt{ {a}^{2} +  {b}^{2}  }

where -

  • c = hypotenuse
  • a & b = the other two sides of the triangle

According to the question , let the hypotenuse of the triangle be 'c' . So ,

c =  \sqrt{ {3000}^{2} +  {4000}^{2}  }

=  > c =  \sqrt{9000000 + 16000000}

= >  c =  \sqrt{25000000}  = 5000

Hence , c = 5000

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12.what is the probability that a boy and a girl chosen randsomly will be seniors?
zhenek [66]

\frac{\textbf{1}}{\textbf{20}}

Step-by-step explanation:

Probability=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}

Probability for a randomly chosen girl to be senior=\frac{\text{number of senior girls}}{\text{total number of girls}}

Probability for a randomly chosen girl to be senior=\frac{7}{8+11+9+7}=\frac{7}{35}=\frac{1}{5}

Probability for a randomly chosen boy to be senior=\frac{\text{number of senior boys}}{\text{total number of boys}}

Probability for a randomly chosen girl to be senior=\frac{9}{10+7+10+9}=\frac{9}{36}=\frac{1}{4}

For two independent events,

Probability for both event 1 and event 2 to take place=\text{probability of event 1} \times \text{probability of event 2}

Since choosing boys and girls is independent,

Probability for both boy an girl chosen to be senior=\text{probability for boy to be senior}\times\text{probability for girl to be senior}

Probability for both boy and girl chosen to be senior=\frac{1}{5} \times \frac{1}{4} = \frac{1}{20}

So,required probability is \frac{1}{20}

3 0
3 years ago
How do i solve -3=-2x+1 by graphing?
KonstantinChe [14]

Answer:

x = 2

Step-by-step explanation:

-3 = -2x + 1

minus 1 to the both sides

-3 -1 = -2x

-4 = -2x

divide both sides by -2

x = 2

8 0
3 years ago
Gravano Engineering co has the following items appearing in its statement of financial position at the year end:
professor190 [17]

Based on the items appearing in Gravano Engineering's Statement of Financial Position at the year-end, the totals for the following are:

1. Non-current Assets = $192,000

2. Current Assets = $64,000

<h3>What is a Statement of Financial Position?</h3>

A Statement of Financial Position is a financial statement that shows an entity's assets, liabilities, and equity.

Assets are items owned by an individual or entity that generate current, future, or potential economic benefits.

Liabilities are financial obligations that an individual or entity owes creditors.

Equity is the difference between assets and liabilities, which refers to the financial benefits accruing to the stockholders.

<h3>Data and Calculations:</h3>

1. Trade payables                                    $39,000

2. Cash at bank                                         14,000

3. Motor vans                                           25,000

4. Inventories                                             7,000

5. Bank overdraft                                     13,000

6. Property                                              96,000            

7. Trade receivables                              43,000            

8. Plant and equipment                        26,000            

9. Trademarks                                        28,000

10.   Fixtures and fittings                        17,000

11.   Mortgage on property                   45,000​

<h3>Current Assets:</h3>

2. Cash at bank                                          14,000

4. Inventories                                              7,000

7. Trade receivables                                43,000            

Total current assets =                           $64,000

<h3>Non-Current Assets:</h3>

3. Motor vans                                          25,000

6. Property                                              96,000                      

8. Plant and equipment                         26,000            

9. Trademarks                                        28,000

10.   Fixtures and fittings                         17,000

Total non-current assets =                $192,000

Thus, the total non-current assets are $192,000 and the current assets total $64,000.

Learn more about current and non-current assets at brainly.com/question/24147620

#SPJ1

3 0
2 years ago
The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nea
a_sh-v [17]
Check the picture below.

so the rhombus has the diagonals of AC and BD, now keeping in mind that the diagonals bisect each, namely they cut each other in two equal halves, let's find the length of each.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad &#10;C(\stackrel{x_2}{6}~,~\stackrel{y_2}{8})\qquad \qquad &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;AC=\sqrt{[6-(-4)]^2+[8-(-2)]^2}\implies AC=\sqrt{(6+4)^2+(8+2)^2}&#10;\\\\\\&#10;AC=\sqrt{10^2+10^2}\implies AC=\sqrt{10^2(2)}\implies \boxed{AC=10\sqrt{2}}\\\\&#10;-------------------------------

\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;B(\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\qquad &#10;D(\stackrel{x_2}{4}~,~\stackrel{y_2}{0})\qquad \qquad BD=\sqrt{[4-(-2)]^2+[0-6]^2}&#10;\\\\\\&#10;BD=\sqrt{(4+2)^2+(-6)^2}\implies BD=\sqrt{6^2+6^2}&#10;\\\\\\&#10;BD=\sqrt{6^2(2)}\implies \boxed{BD=6\sqrt{2}}

that simply means that each triangle has a side that is half of 10√2 and another side that's half of 6√2.

namely, each triangle has a "base" of 3√2, and a "height" of 5√2, keeping in mind that all triangles are congruent, then their area is,

\bf \stackrel{\textit{area of the four congruent triangles}}{4\left[ \cfrac{1}{2}(3\sqrt{2})(5\sqrt{2}) \right]\implies 4\left[ \cfrac{1}{2}(15\cdot (\sqrt{2})^2) \right]}\implies 4\left[ \cfrac{1}{2}(15\cdot 2) \right]&#10;\\\\\\&#10;4[15]\implies 60

7 0
3 years ago
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What is the equation of the circle whose diameter expands from point A = (-3,-2) to B= (1,4).
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-3,-2
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