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
Ann [662]
3 years ago
5

Im not sure how to find the missing angle

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0

Answer:

Step-by-step explanation:

the question is asking for the length of the side labeled x

use Pythagoras'  theorem to find that side

where c = x   because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem

c = \sqrt{a^{2} + b^{2} }

sooo  plug in a = 14 and b = 10

c = \sqrt{14^{2} + 10^{2} }

c = \sqrt{196+100}

c = \sqrt{296}

c= 17.20465.....  ( that's the approx. length of side x in the problem )

since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA  to remember how those functions fit on the triangle.

Sin(Ф)=Opp/Hyp  Cos(Ф)=Adj/Hyp  Tan(Ф)=Opp/Adj

since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...

Cos(Ф)=10/17.20465

Ф = arcCos(10/17.20465)

Ф = 54.4623°  is the angle on the side with 10

the side with 14 then has an angle of 35.5376°

:)

You might be interested in
Evaluate the surface integral. ??s (x2 y2 z2 ds s is the part of the cylinder x2 y2 = 4 that lies between the planes z = 0 and z
kondor19780726 [428]
The surface S can be parameterized by

\mathbf r(\theta,z)=(2\cos\theta,2\sin\theta,z)

where 0\le\theta\le2\pi and 0\le z\le2. Then the surface integral can be computed with

\displaystyle\iint_S(x^2+y^2+z^2)\,\mathrm dS
\displaystyle=\int_{\theta=0}^{\theta=2\pi}\int_{z=0}^{z=2}(4\cos^2\theta+4\sin^2\theta+z^2)\|\mathbf r_\theta\times\mathbf r_z\|\,\mathrm dz\,\mathrm d\theta=\dfrac{128\pi}3
6 0
3 years ago
How you know fractions are equivalent
pav-90 [236]
A simple way to look at how to check for equivalent fractions<span> is to do what is called “cross-multiply”, which means multiple the numerator of one </span>fraction<span> by the denominator of the other </span>fraction. Then do the same thing in reverse. Now compare the two answers to see if they areequal<span>.</span>
8 0
3 years ago
Can somebody tell me the answer to this ?
Dmitriy789 [7]

Answer:

16/93

Step-by-step explanation:

3 0
3 years ago
Your monthly phone bill is $133.74 and you by 0.25 per mintute your phone cost 9.99 per month. Find the number of mintutes you u
Sever21 [200]
133.74-9.99=123.75
123.75/.25=495
6 0
3 years ago
25 POINTS!!!! PLSSSS
Alona [7]

Answer:

B

Step-by-step explanation:

Becuase I'm smart

5 0
3 years ago
Read 2 more answers
Other questions:
  • One common factor of two numbers is 40. Another common factor is 10. If both numbers are less than 100, what are the two numbers
    9·1 answer
  • James buys a shirt and a pair of socks on sale for 25% off. if the price of the shirt before the sale was $24 and he spent a tot
    15·2 answers
  • Find cos(sin-1(3/5))
    10·1 answer
  • Which function forms an arithmetic sequence when x = 1, 2, 3, ...?
    8·1 answer
  • PLEASE HELP!! It’s for a math class and I can’t figure it out been trying every website nothing has helped!
    14·1 answer
  • The point (2,-4) is on the line given by which equation below?
    15·1 answer
  • Dont solve just find the system of equations
    8·1 answer
  • Please help me I will give you the brain thing and extra points. image below
    10·1 answer
  • Alexandra is following a recipe that requires 3/4 a cup of water she needs to make 10 servings how many cups of water does Alexa
    6·1 answer
  • What is the slope of a line that passes through (2,-5) and (6,-2)​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!