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
Archy [21]
3 years ago
14

A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners

Mathematics
1 answer:
Vlada [557]3 years ago
3 0

Answer:

The measures of the angles at its corners are 59.1\°,35.4\°,85.5\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)

2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}

cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))cos(A)=0.513953

A=arccos(0.513953)=59.1\°

step 2

Find the measure of angle B

Applying the law of cosines

125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)

2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}

cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))cos(B)=0.81489

B=arccos(0.81489)=35.4\°

step 3

Find the measure of angle C

Applying the law of cosines

215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)

2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}

cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))cos(C)=0.0784

C=arccos(0.0784)=85.5\°

You might be interested in
PLEASE HELP! A city has a population of 390,000 people. Suppose that each year the population grows by 6.25%. What will the popu
Vaselesa [24]

Answer: The population will be 536,250 people

Step-by-step explanation:

5 0
3 years ago
Solve for x <br>4^x/9^x=½<br>​
kirill115 [55]

Answer:

x = 0.85476

Step-by-step explanation:

4ˣ/9ˣ=½

9ˣ / 4ˣ = 2

(9/4)ˣ = 2

2.25ˣ = 2 .... aⁿ = x     logₐx = n

log₂.₂₅2 = x

x = 0.85476

3 0
3 years ago
Use the graph of the function y = 4' to answer the
dlinn [17]

Answer:

the domain of the function is negative infinity to positive infinity because an exponent can be any real number

Step-by-step explanation:

4 0
3 years ago
HELP ME ASAP!!!
Lelu [443]
1.) C 43                             9.) what is 4c?
2.) B 8 3/4                         10.) C 2 8/15
3.) D 6 rooms                    11.) B 4.2
4.) B 1/3                             12.) D 2 quarts
5.) C 8/9 cups
6.) D 88
7.) B 2 3/4
8.) B 14 2/5



5 0
3 years ago
Coco buys a very large rectangular chocolate bar and decides that each day, she
olasank [31]
On each of the six days Coco ate a square piece of chocolate with side length 15 cm, 15 cm, 9 cm, 6 cm, 3 cm and 3 cm, respectively. Since we know the originally chocolate bar was a rectangle the 6 squares must fit together as shown. The length of the longer side of the original chocolate bar, then, was 15 + 15 + 9 =39<span> cm</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a
    6·1 answer
  • Which equation has the solution x=4?
    9·2 answers
  • The perimeter of a triangular garden that has one side 2 inches less than three times wider than the height (h), a second side t
    12·2 answers
  • • (4xy^4)(– 2x^2y^5)​
    7·1 answer
  • How many edgès does the figure have?
    9·1 answer
  • The acid desert of the business on the March 31 2015 are worth rupees 500000 and its capital is rupees 350000 and its liabilitie
    8·1 answer
  • If mZBGF = 152°, what is m ZAGE?<br> A<br> B<br> 88°<br> F<br> G<br> с<br> E<br> D
    5·1 answer
  • Please anybody help please
    13·1 answer
  • Megan has $25 to spend at the movies. If her ticket cost $8.75 and she already
    13·2 answers
  • Simplify the expression (9n+ 4)-(-1/2n-7)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!