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
CaHeK987 [17]
3 years ago
11

PLEASE HELP ME THANK YOU. ALSO PLEASE INCLUDE EXPLANATION

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

Given

the lengths of the 3 sides of a triangle

Find

the angle opposite the longest side

Solution

Strategy: make use of the Law of Cosines, which relates an angle and the three sides of a triangle.

... a² = b² + c² -2bc·cos(A)

... cos(A) = (b² + c² - a²)/(2bc) . . . . . . . solve for cos(A)

... A = arccos((b² + c² - a²)/(2bc))

Fill in the given values and evaluate.

... A = arccos((55² + 50² - 90²)/(2·55·50)) = arccos(-2575/5500)

... A ≈ 117.9°

You might be interested in
​ Quadrilateral ABCD ​ is inscribed in this circle.
Ilya [14]
Hello,

When you have an inscribed quadrilateral, the opposite sides are supplementary.

So you can write and solve the following equation.
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23

Now, plug in 23 for X and we will find the measurement of B.
6(23) + 19
138 + 19
157

The measure of angle B is 157 degrees. (The picture is not drawn to scale)

Good luck,
MrEQ
3 0
3 years ago
Can someone help me with Surface area?
postnew [5]
Find the area of each individual shape and add those answers to get the entire sum
8 0
3 years ago
NEED HELP ASAP
Aliun [14]
Well, first you want to figure out how many sentences Jolie has left to read. You can do that by multiplying 120 by 17 which equals 2,040. Then you have to divide 2,040 by 14. The answer to that is about 145.72 which you could just leave at about 145 minutes. And to simplify that even more you could divide by 60 and figure that 145.72 is about 2 hours and 42 minutes.
3 0
3 years ago
How would i graph this?<br><br>someone help me please
butalik [34]
Idk u would just have to figure it [email protected]@##$%##YRGXR
5 0
3 years ago
Joey made 300 greeting cards. He sold 40% of the cards, gave 85% of the remaining cards to him friends, and kept the rest of the
Sedbober [7]
I believe he kept 18 cards.
4 0
3 years ago
Other questions:
  • a blouse, including tax, costs $44. If the blouse is taxed at a a rate of 10%, what is it’s original price?
    11·2 answers
  • What is 1 gallon into liters
    11·2 answers
  • Solve sin4x cosx-sinx cos4x = sqrt(2)/2 for [0, 2pi)
    6·1 answer
  • Solve n^2+16n=17 by completing the square ​
    6·1 answer
  • A top is on sale for 30% off. If the top was originally $18.50, what is the sale
    10·2 answers
  • If f(x)=2x^3+5 complete the following statement, f(6)=
    5·1 answer
  • X, 1, 2, 3, 4, <br> y, 7, 17, 27, 37,
    9·1 answer
  • EASY POINTS<br> PLEASE ANSWER<br> :)<br><br> LOTS OF POINTS!!!!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • Amplitude of y=-2 sinx
    6·1 answer
  • A dilation has center (0,0). Find the image of the point B ( 5/3, -7/2) for the scale factor 1/3​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!