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
Paladinen [302]
2 years ago
14

. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side

of length 8.
Mathematics
1 answer:
4vir4ik [10]2 years ago
7 0

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}

\cos A=\dfrac{49+196-64}{196}

\cos A=\dfrac{181}{196}

Taking cos inverse on both sides.

A=\cos^{-1}\dfrac{181}{196}

A=22.561328

A\approx 22.6

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

You might be interested in
Help pls √-4 - √-25<br> Express complex numbers in terms of i
kow [346]

i=\sqrt{-1}\\\\\sqrt{-4}=\sqrt{(4)(-1)}=\sqrt4\cdot\sqrt{-1}=2i\\\\\sqrt{-25}=\sqrt{(25)(-1)}=\sqrt{25}\cdot\sqrt{-1}=5i\\\\\sqrt{-4}-\sqrt{-25}=2i-5i=-3i

5 0
2 years ago
Read 2 more answers
Which line is the best model for the data in the scatter plot?
brilliants [131]
Yeah the first one (A) seems like the best to me :)
4 0
3 years ago
Read 2 more answers
Can someone plz help me on this plz I beg u
dimulka [17.4K]

Answer:

20

Step-by-step explanation:

Area of one trapezoid is 10 so double that is 20

i think thats the answer im not 100% sure but i hope this helps :)

3 0
3 years ago
Which of the following are necessary to describe a rotation of a figure on a coordinate plane??
ololo11 [35]
You haven't add the choices to be selected. Anyway, some of them I know which are necessary to describe a rotation of a figure on a coordinate plane.

The center of rotation
The number on of degrees of the rotation The direction of the rotation 
3 0
3 years ago
What is F(3) if F(x) = x3– 2x2 + 3x –12?
wariber [46]

Step-by-step explanation:

Simply input 3 for x in the equation.

x^{3} -2x^2+3x-12\\(3)^{3} -2(3)^2+3(3)-12\\27-18+9-12\\Final answer = 6

7 0
2 years ago
Read 2 more answers
Other questions:
  • For the △ACD is shown below, select all the true statements. Lengths are rounded to the nearest tenth.
    6·1 answer
  • The fountain in the pond at the public park near Kevin's house has a pump that recirculates 75 gallons of water in 1/4 of an hou
    14·2 answers
  • A square + b square =
    15·2 answers
  • What is the answer to Justin is 2 years older than one third Marcella's age?
    6·1 answer
  • How to graph y=-3x+15
    9·1 answer
  • Which best describes the difference between Protestant and Catholic beliefs?
    12·1 answer
  • Given: 5x + 3 &gt; 4x + 7.<br> Choose the graph of the solution set.
    9·2 answers
  • A jeweler buys a ring from a jewelry maker for $125. He marks up the price by 135% for sale in his store. What will the selling
    15·2 answers
  • Find a solution for the equation. Assume that all angles are a cute angles. tan(3Y +32) = cot(Y+32°)
    15·1 answer
  • The supplement of a 60∘ angle is an angle that measures how many degrees?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!