1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Iteru [2.4K]
1 year ago
6

In the figure above, what is the area of triangle QRS?

Mathematics
1 answer:
Vlad [161]1 year ago
6 0

Answer:

D) 20.

Step-by-step explanation:

First find the value of x using Pythagoras theorem:

10^2 = x^2 + (2x)^2

5x^2 = 100

x^2 = 20

x = √20

  = 2√5.

So the area of triangle

= 1/2 * base * height

= 1/2 * 2x * x

=  x^2

=  (2√5)^2

=  20.

You might be interested in
Solution or no solution?
NikAS [45]
I think the answer is solution
8 0
3 years ago
Using the function p(x)=4x-3 what is p(5)
12345 [234]

Answer:

p(5) = 17

Step-by-step explanation:

p(x) = 4x - 3

p(5) = 4(5) - 3

     = 20 - 3

     = 17

8 0
2 years ago
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
A real estate agent expected 18 people to show up for an open house but 25 attended
nalin [4]
7 more than they expected
8 0
2 years ago
I need help with my HW
Ksju [112]
What do you need help with? What is the question?
4 0
3 years ago
Other questions:
  • Which of the following is the equation a^(2b+1)=3c-d
    7·2 answers
  • The function f(x) = 28(1.45)x models the number of cats and dogs adopted from a local animal shelter, where x represents the num
    14·1 answer
  • (5+4i)(17-13i)-(5+3i)(17-13i)
    10·1 answer
  • Six less then a number is equal to ten
    11·2 answers
  • 9. Given the point (6,-8) values of the six trig function.
    5·1 answer
  • Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes o
    12·1 answer
  • Simple math question
    7·2 answers
  • Explain get 100 points
    10·2 answers
  • HELP ME PLEASE [WILL GIVE BRAINLIEST TO BEST ANSWER WITH BEST EXPLAINATION]
    6·1 answer
  • Let f(x) = 3x + 4 and g(x)= x2 - x + 2. Perform the function operation and then find the domain.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!