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
AVprozaik [17]
4 years ago
10

Given: △ABC, m∠B=90° AB = 12, BC = 16, BK⊥ AC Find: AC and BK

Mathematics
1 answer:
andre [41]4 years ago
7 0

Answer:AC = 20

BK = 9.6

Step-by-step explanation:

AC is found using the Pythagorean theorem in the usual way:

 AC² = AB² + BC²

 AC² = 12² + 16² = 144 +256 = 400

 AC = √400

 AC = 20

You may recognize this is a 3-4-5 triangle scaled by a factor of 4.

__

Then BK is found using similar triangles. All of the triangles in the figure are similar*, so ...

 long side / hypotenuse = BC/AC = BK/AB

 BK = AB(BC/AC) = 12(16/20) = 12×0.8

 BK = 9.6

You might be interested in
Two marathon runners run the full distance of the marathon, approximately 26 miles, in 4 hours.About how many miles did they run
never [62]

Answer:

Approximately 6.5 miles

Step-by-step explanation:

If the marathon runners ran 26 miles in 4 hours, you would have to divide 26 by 4 since it's asking how many miles per 1 hour they ran.

8 0
3 years ago
An epidemiologic study examined the incidence of symptomatic Chlamydia infection in a cohort of 2000 young women in a county in
seraphim [82]

a. If no one dropped out of the study and no one developed Chlamydia infection during the study period, the total number of person-years = 10,000 person-years (2,000 x 5 years).

<h3>What are person-years?</h3>

Person-years are the product of the number of people in a study and the amount of time each person spends in the study.

Thus, since there are 2,000 women in this study, who spend 5 years each, the person-years are 10,000 (2,000 x 5) person-years.

b. The estimated incidence rate of Chlamydia infection among women who participated in the study is 0.62 or 620 per 1,000 person-years (6,200/10,000).

<h3>What is an incidence rate?</h3>

An incidence rate describes the quickness of disease occurrence in a population. Since the incidence rate is based on person-time, it has some advantages over an incidence proportion, which measures the probability of developing a disease during the specified period.

<h3>Data and Calculations:</h3>

Sample of young women = 2,000

Period of study = 5 years

Subjects newly diagnosed with infection = 440

Total number of person-years of subjects diagnosed = 6,200

Thus, the total number of person-years in the study is <u>10,000 person-years</u>, while the incidence rate is <u>620 per 1,000</u>.

Learn more about incidence rates at brainly.com/question/24493066

3 0
2 years ago
2/3 is greater than, less than it equal to 5/8
Allushta [10]

Answer:

greater than it

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Drag and Drop the correct answer into the boxes below.
scoray [572]

Answer:

the first blank is 100

the second is 80

Step-by-step explanation:

7 0
3 years ago
Which of these are mathematical sentences? Check all that apply.
seraphim [82]

Answer:

A, D

Step-by-step explanation:

A is a completed statement and b can be solved.

B is an incomplete statement.

C is just a number.

D is a completed statement and y can be solved.

4 0
4 years ago
Other questions:
  • Which of the following is less than -3?
    14·1 answer
  • What are the solutions to the system of circle and line when the circle is given by x²+y²=9, and the line is given by y=4?
    12·1 answer
  • A right come has a volume of 24pie cubic meters and a radius of 3 meters find the height of the cone
    12·1 answer
  • What is this and how do i solve
    9·1 answer
  • What is 5 to the 2nd power, times 5 to the 3rd power, times 5 to the 4th power? This is urgent!
    13·2 answers
  • Trigonometric identitie​
    5·1 answer
  • Andrea got 3 times as much candy than Stacy.If Stacy and Andrea got 28 pieces,how many pieces did Andrea get?
    8·2 answers
  • The product of two and any nonzero integer is always _________.
    13·1 answer
  • Which of the following is not a perfect square? Why?<br>(a) 361 (b) 1156<br>(c) 1128 (d) 1681​
    6·2 answers
  • What’s 112/250 simplified
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!