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
mr Goodwill [35]
3 years ago
6

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the

other leg in inches?
Mathematics
1 answer:
VikaD [51]3 years ago
7 0
Solutions 

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

<span>Given 

</span><span>In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. 

</span>c^2 = 20 in &#10;

&#10;a^2 = 15 in
<span>
</span>&#10;b^2 = Unknown 

------------ Calculations 
<span>
</span>b^2 = c^2 - a^2  

b^2 = c^2(20) - a^2(15) 

b^2 = 400 - 225 

b^2 = 175 

b =  \sqrt{175} 

b = 13.2287565553 &#10; 


<span>

</span>
You might be interested in
You complete 3 centimeters of a necklace in an hour. each hour after the first, you triple the length iof the necklace. write an
liberstina [14]

First hour: 3 = 3¹

Second hour: (3) x 3 = 3²

Third hour: (3 x 3) x 3 = 3³

Fourth hour: (3 x 3 x 3) x 3 = 3⁴

Do you see the pattern? <em>3^{n} where n is the number of hours</em>

Answer: 3³, 3^{n}

5 0
3 years ago
Read 2 more answers
Need help ASAP!!!Please explain how to solve the problem
Kisachek [45]

Answer:

Step-by-step explanation:

7 0
3 years ago
Beep beep beep beep beep beep beep
frosja888 [35]

What exactly was the purpose of posting this?

7 0
3 years ago
The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 a
Ugo [173]

The question is incomplete. I am writing the complete question below:

The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent.

                                    Positive Result                 Negative Result

Cancer Present                   0.21                                       0.79

Cancer Absent                    0.06                                      0.94

In a large study of prostate cancer screening, it was found that about 6.6% of the population has prostate cancer.

What is the probability that the test is positive for a randomly chosen person from this population? (Enter your answer to five decimal places.)

P(Positive test) =

Answer:

P(Positive Result) = 0.0699

Step-by-step explanation:

We are given that 6.6% of the population has prostate cancer. So,

P(Cancer Present) = 0.066

P(Cancer Absent) = 1 - 0.066 = 0.934

From the given conditional probability table, we have:

P(Positive Result | Cancer Present) = 0.21

P(Positive Result | Cancer Absent) = 0.06

We need to find the probability that the result is positive. It can be either that the result is positive and cancer is present or the result is positive and the cancer is absent. So,

P(Positive Result) = P(Positive Result∩Cancer Present) + P(Positive Result∩Cancer Absent)

                             = P(Positive Result | Cancer Present)*P(Cancer Present) + P(Positive Result | Cancer Absent)*P(Cancer Absent)

                             = (0.21)*(0.066) + (0.06)*(0.934)

                             = 0.01386 + 0.05604

P(Positive Result) = 0.0699

5 0
3 years ago
Find the value of x.
astra-53 [7]

Answer:

10

Step-by-step explanation:

7x+5 = 9x -15

5 = 2x -15

2x = 20

x = 10

6 0
2 years ago
Other questions:
  • Plz answer this quickly
    8·1 answer
  • Every year Veronica receives $30 for her birthday, plus $2 for each year of her age. Lacey receives $20 for her birthday and $4
    5·1 answer
  • There were 42 passengers on a local airplane flight. First-class fare was $80, and coach fare was $64. If the revenue for the fl
    12·1 answer
  • Select all the numbers that are rational.
    15·1 answer
  • What polynomial has a graph that passes through the given points? (-2, 2) (-1, -1) (1, 5) (3, 67) A. y = -x3 + 4x2 + 2x - 2 B. y
    6·2 answers
  • Find the value of y and<br> simplify completely.
    8·1 answer
  • Billy runs a miles in seven minutes and 30 seconds. For every mile Billy runs, he adds 30 seconds to his mile time. If Billy run
    14·2 answers
  • Please help! Will mark brainliest!
    6·2 answers
  • Examine Carmen's plans for rail lines at a train station.
    8·1 answer
  • 42. Rosa incorrectly calculates the product of 4.162 and 2.5 as shown.Line 1:4.162Line 2: X 2.5Line 3: 20810Line 4: 83240Line 5:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!