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Harman [31]
3 years ago
5

The perimeter of a triangle is 22 cm. if its two sides measure 9cm and 6cm, find the length of the third side?

Mathematics
2 answers:
kirill [66]3 years ago
5 0

Answer:

Step-by-step explanation:

perimeter of a triangle is the addition of all sides

22 - ( 9+6)

22 - 15

7

denis-greek [22]3 years ago
3 0

Answer: 7cm

Step-by-step explanation:

The perimeter of a triangle is calculated by adding the length of the 3 sides together. Let the third side be x , then

x + 9 + 6 = 22

x + 15 = 22

Subtract 15 from both sides , that is

x = 22 - 15

x = 7

Therefore : the third side is 7cm

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The following scores represent the final examination grades for an elementary statistics course: 23 60 79 32 57 74 52 70 82 36 80
baherus [9]

Answer:

a)  The decimal point is 1 digit(s) to the right of the |

  0 | 6

 1 | 0

 2 | 35

 3 | 26

 4 | 1

 5 | 2257

 6 | 045

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 8 | 001125

 9 | 258

b) The relative frequency histogram as attached diagram.

As shown, the plot is skewed to the left.

c)

i) mean = 62.7

ii) median = 72

iii) Standard deviation = 24.87923

Step-by-step explanation:

a) The first approach is to sort the data in ascending or descending order. Next, we Identify the minimum grade and the maximum grade. We then list the stems based on the minimum and maximum. And we construct the stem and leaf diagram as show. The first digit represents the stem and the last digit represents the leaf.  

As shown, all the grade are two digits value, with minimum as 06 and maximum as 98. In this case, the first stem is 0 and the last stem is 9.

Others (b & c) are just the usual calculations.

6 0
3 years ago
What is the equation of a line perpendicular to y=3x-2
lions [1.4K]
Y=-1/3-2 because you have to make the slope into a negative inverse and the y-intercept stays the same because it's perpendicular. Normal:3 Negative inverse: -1/3
5 0
3 years ago
Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ
Deffense [45]

Answer:

\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}

Step-by-step explanation:

Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}

\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16

\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i

6 0
3 years ago
Read 2 more answers
Find the Area of This Triangle​
KatRina [158]
That’s a rectangle not a triangle lol
5 0
4 years ago
Assume you have a safe code that is 8 digits long. The numbers 0-9 may be used for any digit. How many possible codes are there?
Kisachek [45]

Answer:

10^8 choices

Step-by-step explanation:

You have 10 numbers to choose from for each digit of the code.

There are 8 digits of the code.

You have 10*10*10*10*10*10*10*10 = 10^8 choices in total.

3 0
4 years ago
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