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Likurg_2 [28]
3 years ago
6

Find the surface area of the triangular prism shown below.

Mathematics
1 answer:
ira [324]3 years ago
7 0

Answer:

150ft²

Step-by-step explanation:

surface area = (2×½×8×3)+(8+5+5)×7

= 24+126

= 159 ft²

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What is 7/12 - 1/6 =
Sauron [17]
\frac{7}{12} - \frac{1}{6} = \frac{7}{12} - \frac{1\times2}{6\times 2} = \frac{7}{12} - \frac{2}{12} =\frac{7-2}{12} = \huge{\boxed{\frac{5}{12}}}
5 0
3 years ago
Read 2 more answers
Between what two consecutive integers is <img src="https://tex.z-dn.net/?f=%5Csqrt182" id="TexFormula1" title="\sqrt182" alt="\s
Elden [556K]

Answer:

C. 13 and 14

Step-by-step explanation:

They notice that the square root of 182 is between 13 an 14, and it gives them the idea that the numbers 13 and 14 are the solution.

Let n be the smaller of the two consecutive integers.

   Then the other integer is  (n+1).

   We are given that  

      n*(n+1) = 182.

   Simplify

      n^2 + n - 182 = 0,

   Factor left side

      (n-13)*(n+14) = 0.

   The solutions are  n= 13  and  n= -14.

   You may check that both of them satisfy the problem' condition, giving you two answers

       the pair  (13,14)  and the pair  (-14,-13).

 

Many people prefer to solve this problem in a short way.

   They notice that the square root of 182 is between 13 an 14,

   and it gives them the idea that the numbers 13 and 14 are the solution.

   Then these people get the next idea that if the product of 13 and 14 is equal to 182,

   then the product of the opposite numbers is also 182, so

           both the pairs (13,14)  and  (-14,-13)  are solutions.

Solved and explained in detailed and short modes.

7 0
2 years ago
What is the e intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? x^2+6x+19
igomit [66]
Answers of "a" is -66, 18 pls show how to get to the answer of "a"
8 0
1 year ago
Lana runs a business where she fixes bikes. She charges $15.75 per hour for her labor as well as a $25 flat fee for any parts sh
Masja [62]

Answer:

y = 15.75x + 25 is the linear equation

$88 would be the total cost

Step-by-step explanation:

First, create the equation using y = mx + b, where x is the number of hours:

y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25

There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:

y = 15.75x + 25

Plug in 4 as x:

y = 15.75(4) + 25

y = 63 + 25

y = 88

So, the total cost would be $88

8 0
2 years ago
Kamira's weekly salary is based on the number of pairs of shoes she sells. She is paid a base salary of $25, plus $5 for every p
stepan [7]

Answer: p= 5s + 25

Step-by-step explanation:

7 0
2 years ago
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