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DochEvi [55]
4 years ago
15

In a 30°- 60° - 90° right triangle, the shorter leg has a length of 4.

Mathematics
1 answer:
Studentka2010 [4]4 years ago
5 0
In a 30°-60°-90° triangle, the ratio of the legs is \sqrt{3}:1

So if the shorter leg is 4, then the longer leg is 4\sqrt{3}
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Find the Equation of the Parallel Line
sasho [114]

Answer:

y = -5x - 1

Step-by-step explanation:

Let the equation of a line parallel to the given line is,

y - y' = m(x - x')

Where m = slope of the line

And line passes through (x', y')

Equation of a line has been given as,

5x + y = 4

y = -5x + 4

Slope of this line = -5

By the property of parallel lines "slope of the parallel lines are same",

m = -5

Parallel line passing through (-1, 4) and slope 'm' = -5 will be,

y - 4 = -5(x + 1)

y - 4 = -5x - 5

y = -5x - 5 + 4

y = -5x - 1

Therefore, equation of the parallel line will be,

y = -5x - 1  

5 0
3 years ago
Can someone please solve this, tell me which one goes where in order.​
sasho [114]

Total discount for 10 group tickets = 10 · 0.05t

Amount of discount per ticket = 0.05t

Number of tickets = 10

Cost of buying 10 single tickets = 10t

Solution:

Cost for single ticket = t dollars

Discount percent per ticket = 5%

Number of tickets bought = 10

Total discount for 10 group tickets = Number of tickets × Discount amount

                                                         = 10 × 0.05t

Total discount for 10 group tickets = 10 · 0.05t

Amount of discount per ticket = 5%t

                                                  = \frac{5}{100} t

                                                  = 0.05t

Amount of discount per ticket = 0.05t

Number of tickets = 10

Cost of buying 10 single tickets = 10t

4 0
4 years ago
If M is the midpoint of segment AB, then which of the following statements is/are true? AB=MB AM=MB Segment AM is congruent to s
Archy [21]

AB is the large segment.

AM is half of the large segment.

MB is the second half of the large segment.

AM = MB is true.

Segment AM is congruent to segment MB is true.

AB = MB is false.

3 0
3 years ago
State whether the quantity described is a parameter or a statistic and give the correct notation. Average household income for a
kogti [31]

Answer:

b) statistic.

Step-by-step explanation:

In applied statistical work we rarely have the opportunity to measure entire populations, instead we make inferences about the populations from samples drawn, ideally randomly from the population. We usually want to know averages from whole populations, but use the average from a sample as our best guess at the population average. The unknown population average is called a parameter. The known sample average is called a statistic.

As a matter of convention, most statistical texts use greek symbols for population parameters and the English or Arabic letters for sample statistics. For example, a sample mean is often denoted as x-bar . Population means are denoted with the lower-case greek letter mu μ .

4 0
4 years ago
Make x the subject of the formula for Q20.
saul85 [17]

Answer:

x = \sqrt{m(\frac{a}{b})^{2} +n  }

Step-by-step explanation:

a\sqrt{(\frac{x^{2} - n }{m}) } = \frac{a^{2} }{b}

\sqrt{\frac{x^{2} - n }{m} } = \frac{a}{b}   [Divide both sides by a]

\frac{x^{2} - n}{m} = (\frac{a}{b} )^{2}   [Square both sides]

x^{2} -n = m(\frac{a}{b} )^{2}   [Multiply both sides by m]

x^{2} =m(\frac{a}{b} )^{2}  + n   [Bring n to the right]

x = \sqrt{m(\frac{a}{b})^{2} +n  }   [Square root both sides]

7 0
3 years ago
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