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
Gelneren [198K]
2 years ago
13

△BCD ​ is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters. Wha

t is the length of the other leg?
Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
5 0

Answer:

The answer to your question is   b = 11.31 cm  or   8\sqrt{2} cm

Step-by-step explanation:

Data

hypotenuse = 18 cm

one leg = 14 cm

second leg = ?

Process

1.- Use the Pythagorean Theorem to solve this problem

                 c² = a² + b²

c = hypotenuse

a = longer leg

b= shorter leg

2.- Substitution

                        18² = 14² + b²

-Solve for b

                         b² = 18² - 14²

-Simplify

                         b² = 324 - 196

                         b² = 128

-Find the prime factors of 128

                          128   2

                            64  2

                             32  2

                             16  2

                              8  2

                              4  2

                              2  2

                               1

          128 = 2⁶2¹                                    

-Result

                         b = 11.31   or   8\sqrt{2}

You might be interested in
What is 2 wholes minus 1/4
bonufazy [111]
2-1/4
2/1=8/4       Multiply top and bottom by 4
8/4-1/4
7/4
1 3/4
3 0
3 years ago
Read 2 more answers
What is the tangent ratio for ∠B?
mars1129 [50]

Answer:

Your answer is

tangent ratio of B is 3/2

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the change in elevation from -6 km to -14 km?
Feliz [49]

Answer:

-8 km

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP DUE IN 10 MINS!<br><br> Attached is the Question.
Nikitich [7]

Answer:

  • ∠N ≅ ∠J - given
  • LN ≅ LJ - given
  • ∠L ≅ ∠L - reflexive property

<u>Postulate</u>: ASA

<u>Congruency Statement:</u> ΔJML ≅ ΔNKL

7 0
3 years ago
45 Points, Question 2 In Attachment. Asap if possible.
Masja [62]

Answer: x = \frac{-5}{2}

Step-by-step explanation:

3^{4x-5} = (\frac{1}{27}) ^{2x+10}

1/27 can be written in index form as 3^{-3}

The equation then becomes:

3^{4x-5} = (3^{-3})^{2x+10}

Equating the coefficient

4x - 5 = -3 ( 2x + 10)

4x - 5 = -6x - 30

10x = -30 + 5

10x = -25

x = -25/10

x = -5/2

x = - 2.5

4 0
2 years ago
Other questions:
  • Which expression represents the number 12.3 rewritten in a+bi form?
    13·1 answer
  • What is the difference? StartFraction x Over x squared minus 16 EndFraction minus StartFraction 3 Over x minus 4 EndFraction Sta
    11·2 answers
  • in a class of 40 students, all play at least one sport. if 21 students play basketball, 18 play soccer, 15 play volleyball, and
    7·1 answer
  • Help on number 11 asap pls
    6·2 answers
  • An electrician charges $322 for 7 hours of work. How much does the electrician charge for one hour?
    9·1 answer
  • Hey!!! So the photo is side ways sorry bout that but I reallyyy need some help
    8·1 answer
  • PLEASE SHOW FULL SOLUTIONS!! Will Mark Brainliest for the best answer. The radius of a spherical balloon is 3.5 cm. What is the
    8·1 answer
  • I need help with these problems from #33 to #40 can someone please help me with them ASAP please and thank you.. can you show st
    7·1 answer
  • I need help finding the area of the smaller of the two. ​
    13·1 answer
  • Y′′−4y′+4y=63e^5t with y(0)=3 and y′(0)=4.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!