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matrenka [14]
3 years ago
13

one side of a triangle is one-third the longest side. the third side is 11 ft less than the longest side. the perimeter is 73. f

ind all 3 sides
Mathematics
1 answer:
Len [333]3 years ago
7 0

side 1 = x

side 2 = x-11

side 3 = 1/3x


x + x-11 + 1/3x = 73

2x-11 + 1/3x = 73

2x = 6/3x

6/3x+1/3x = 7/3x


7/3x-11 = 73

7/3x = 84

7x =84*3

7x = 252

x = 252/7

x = 36

longest side = 36

2nd side = 1/3(36) = 12

3rd side = 36-11 = 25



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Answer:

I believe the answer may be x= 24.5 I'm not certain though

Step-by-step explanation:

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4 0
3 years ago
The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and unive
gtnhenbr [62]

Answer: (0.8468, 0.8764)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p}  = sample proportion.

z* = Critical value

n= Sample size.

Let p be the true proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.

Given : Sample size = 3597

Number of students  believe that they will find a job immediately after graduation= 3099

Then,  \hat{p}=\dfrac{3099}{3597}\approx0.8616

We know that , Critical value for 99% confidence interval = z*=2.576  (By z-table)

The 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation will be

0.8616\pm(2.576)\sqrt{\dfrac{0.8616(1-0.8616)}{3597}}

0.8616\pm (2.576)\sqrt{0.0000331513594662}

\approx0.8616\pm0.0148\\\\=(0.8616-0.0148,\ 0.8616+0.0148)=(0.8468,\ 0.8764)

Hence, the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. = (0.8468, 0.8764)

4 0
3 years ago
Please help me with this question! :
Anna11 [10]

Answer:

155 cm2

Step-by-step explanation:

3 x 4/2=6

6 x 2=12

5 x 11=55

55 x 2=110

3 x 11=33

12+110+33=155

I found the surface area of the triangular prism by calculating every side of the area and add it up.  

5 0
3 years ago
Read 2 more answers
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