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
Marina86 [1]
3 years ago
14

Use the figure shown to find the missing lengths of the triangle.

Mathematics
1 answer:
Xelga [282]3 years ago
7 0
Can use right angle angle trigonometry as this is a right triangle

sine is opposite over hypotenuse

sin 60 = BC/AB because opposite to 60 is BC and the hypotenuse is AB.

rearrange for AB

sin 60 = BC/AB
AB sin 60 = BC
AB = BC / sin 60

we are given that BC = 15 in

AB = 15 / sin60
AB = 17.321 in (calculator

can use tangent of 60 degrees to find AC
tangent is opposite over adjacent so

tan(60) = BC / AC
AC tan 60 = BC
AC = BC / tan 60
AC = 15 / tan 60
AC = 8.660 in
You might be interested in
As you can see I keep getting questions wrong.... Can you answer the last question?
aivan3 [116]

Answer:

  y = 0

Step-by-step explanation:

It is always a good idea to look at the question and make some observations about it. Here, you might observe ...

  • all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
  • y is a factor of every exponent

The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.

__

To solve the equation, you can write it in terms of powers of 3.

  (3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)

  3^(-5y) = 3^(-15y)·3^(-4y)

  3^(-5y) = 3^(-19y)

  -5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3

  14y = 0 . . . . . . . . . . add 19y

  y = 0 . . . . . . . . . . . one solution

______

The rules of exponents we used are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

4 0
3 years ago
Solve this with an explantion i will say thanks
melamori03 [73]

Answer: x=5

Step-by-step explanation:

divide both sides by the numeric factor on the left side, then that will give the answer for x

6 0
2 years ago
Read 2 more answers
The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th
makvit [3.9K]

Answer:

<u><em>k = 0.2645</em></u>

Step-by-step explanation:

Given model:

y = 4070 e^{kt}

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070  e^{3k}

\frac{9000}{4070} = e^{3k}

\frac{900}{407}=e^{3k}

<u><em>Taking natural logarithm on both sides, we get:</em></u>

ln\frac{900}{407}=ln(e^{3k})

ln\frac{900}{407}= 3k ln<em>e</em>

ln<em>e</em>=1

ln \frac{900}{407}= 3k

or k = \frac{1}{3}ln\frac{900}{(407)}

k =\frac{1}{3}(0.7936)

<em>k = 0.2645</em>

<em />

7 0
3 years ago
Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for pi :))) thank you !!
Leni [432]

Answer:

390.8 ft2 I think

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help .........
Zepler [3.9K]
Try socratic to answer that, it’s helped me
3 0
3 years ago
Other questions:
  • If a couple plans to have 8 ​children, what is the probability that there will be at least one boy​? Assume boys and girls are e
    11·1 answer
  • McKenzie has a bag contains six red marbles four blue marbles and 14 yellow marbles if she chooses one marble from the bag what
    13·2 answers
  • Yeooo guys please help me :) !
    5·1 answer
  • In how many ways can the eight rooks be placed on an 8-by-8 chessboard so that no two rooks can attack one another?
    7·1 answer
  • HELPPPPPPPPPPPP!!!!!!!!!!!
    13·1 answer
  • 1000 divided by1000 is just 1
    10·2 answers
  • A line passes through points (0, k) and (4.0) and has a slope of -2.5. Which statements are true regarding the graph of the line
    12·1 answer
  • -9x - y = -14<br> -2x + y = 3
    15·1 answer
  • What is 2x6+14+15+27-2
    15·2 answers
  • Solve for x. i'll give brainiest!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!