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
Talja [164]
3 years ago
10

What is the length of BC? Round to the nearest tenth.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

9514 1404 393

Answer:

  (c) 14.5 cm

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(65°) = BC/BA

  BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm

  BC ≈ 14.5 cm

_____

<em>Additional comment</em>

As is often the case, a simple estimate is all that is needed to identify the correct answer choice.

You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.

You might be interested in
Jacob has saved $50. He spent $15 at th movies. Then after paying repairs to his bike, he has $0 remaining. How much did the bik
zmey [24]

Answer:

The bike repair costs $35

Step-by-step explanation:

5 0
3 years ago
Use the gcf and the distributive property to express the sum as a product 20 35
Maslowich
Common factor of 20= 1,2,4,5,10.......
common factor of 35=1,5,7.............
so here we find that 1 and 5 r the common factors 
but the GCF of 20 and 35 is 5
so,
by using GCF the distributive property is : 5(4+7)
5 0
3 years ago
The equation of a circle whose center is at ( 4,0 ) and radius is length 2 ( square root ) 3
Vesna [10]
The equation of a circle:
(x-h)^2+(y-k)^2=r^2
(h,k) - the coordinates of the center
r - the radius

The center is (4,0), the length of the radius is 2√3.
(x-4)^2+(y-0)^2=(2\sqrt{3})^2 \\&#10;\boxed{(x-4)^2+y^2=12}
8 0
3 years ago
Read 2 more answers
Solve for a<br><br> =50=15a<br> Simplify your answer as much as possible.
Ivan
3.3333333333..... is the answer
4 0
3 years ago
Read 2 more answers
HELP ! ASAP - Josefina is inscribing a square in a circle with center c. She first uses a
crimeas [40]
It’s C just took the test !
7 0
3 years ago
Other questions:
  • Help me with this math problem please
    10·2 answers
  • Dakota is going to buy a rug to cover her entire kitchen floor. The width of her kitchen is 4.5 meters. The length is 8.5 meters
    10·1 answer
  • Find the greatest common factor
    12·1 answer
  • The answers I don’t really understand the question
    8·2 answers
  • Non proportional or proportional
    9·1 answer
  • Which equation represents a nonlinear function
    9·1 answer
  • What is 16-2t <br><br> Also are any of my friends on cuz im soooooooooo bored
    14·2 answers
  • Karen traveled 480 miles in 6 hours. She then increased her speed by 20 miles. How long did it take her to travel the next 560 m
    12·1 answer
  • What is 5 × 5https://vm.tiktok.com/ZMeM6sFQL/​
    11·2 answers
  • Can you Anwer this ASAP BEfore please <br><br>WORTH 25 pints
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!