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stellarik [79]
3 years ago
5

Use the markings in the image to answer the following questions (drawing not to scale):

Mathematics
1 answer:
katrin [286]3 years ago
8 0

First of all, we have to observe this triangles separated by the height. These small and big triangles are similar according to the Angle-Angle-Angle principle.


a. We can find all of these length using the cosine of the angle, Pythagoras theorem and the principle of the similarity of triangles.


b. According to the cosine of the angle we can write that, cosθ = 12/a = 5/13 and from here a = 31.2. After finding that using Pythagoras theorem, we can write that b=\sqrt{31.2^{2}-12^{2}} = 28.8. According to the similarity of the triangles, we can write that 31.2/d = 28.8/12 and d = 13. Applying Pythagoras theorem we find that c = 5.


c. We already gave the answer for this question in part b


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Amy bought a new car for 25,000. She paid a 10% down payment and financed the remaining balance for 60 months with an of Determi
goldenfox [79]

Answer:

The answer is 5000

Step-by-step explanation:

5 0
2 years ago
In 3 apples cost 48¢ , how many dozen apples can be bougth for $3.84?
Law Incorporation [45]

1 dozen = 12 apples.

3 apples cost 0.48, multiply that by 4 to get the price of 1 dozen.

0.48 x 4 = $1.92 per dozen.


Divide the total you can spend ( 3.84) by cost per dozen:


3.48 / 1.92 = 2


You can buy 2 dozen.

6 0
2 years ago
Read 2 more answers
The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batterie
Fittoniya [83]

Answer:

The confidence interval is  25.16  < \mu < 26.85

Step-by-step explanation:

From  the question we are given a data set

     25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

The mean of the this sample data is  

       \= x  = \frac{\sum x_i}{n}

where is the sample size with values  n =  10

         \= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}

          \= x = 26

The standard deviation is evaluated as

             \sigma  =  \sqrt{\frac{\sum (x-\= x)}{n} }

substituting values

     = \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }

                  \cdot \ \cdot \ \cdot  \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }

     \sigma  =  1.625

The  confidence level is given as 90% hence the level of significance is calculated as

    \alpha  =  100 -90

    \alpha  =10%

   \alpha = 0.10

Now the critical values of \frac{\alpha }{2} is obtained from the normal distribution table as

      Z_{\frac{\alpha }{2} } =  1.645

The reason  we are obtaining  the critical values of \frac{\alpha }{2} instead of  \alpha is because  we are considering two tails of the area under the normal curve

  The margin of error is evaluated as

            MOE =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

           MOE =  1.645 *  \frac{1.625 }{\sqrt{10} }

           MOE = 0.845

The  90%, two sided confidence interval is mathematically evaluated as

           \= x  - MOE  < \mu < \= x  + MOE

           26  - 0.845  < \mu < 26  + 0.845

           25.16  < \mu < 26.85

Given that the lower and the upper limit is greater than  25 then we can assure the manufactures  that the battery life exceeds 25 hours

5 0
3 years ago
Not Math, I know, but I'd like your opinion.
Gwar [14]

Answer:

I think that gives remind  us of how pictures lokked back then and because that is what they used back then and it tells me is old

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A.(4,0)<br>B.(0,0)<br>C.(-2,0)​
ra1l [238]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
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