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
Lena [83]
3 years ago
15

Use the following diagram to find the angle measures of the triangle, rounded to the nearest degree.

Mathematics
1 answer:
nadezda [96]3 years ago
4 0

Answer:

m∠A = 30°

m∠B = 80°

m∠C = 70°

Step-by-step explanation:

By applying cosine rule in the given triangle,

b² = a² + c² - 2ac[cos(∠B)]

From the given triangle,

a = 14 m

b = 28 m

c = 24 m

(28)² = (14)² + (24)² - 2(14)(24)cos(B)

784 = 196 + 576 - 672cos(∠B)

cos(∠B) = 0.1786

∠B = \text{cos}^{-1}(0.1786)

∠B = 79.71°

∠B = 80°

By applying sine rule in the given triangle,

\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}

\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}

\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}

\text{sinA}= \frac{\text{sin(79.71)}\times 14}{28}

sinA = 0.491958

A = 29.47°

A ≈ 30°

By applying triangle sum theorem,

m∠A + m∠B + m∠C = 180°

30° + 80° + m∠C = 180°

m∠C = 70°

You might be interested in
Please help me solve this!
Kitty [74]
It would be 12 bags

Explanation:
24+3c=5c
24=2c
c=12
8 0
3 years ago
Solve −x−6≥−5 or −2x−5>4 and write the solution in interval notation. Note: Use improper fractions, if necessary.
marusya05 [52]

Answer:

(-∞, -1]

Step-by-step explanation:

−x−6≥−5

-x≥1

x≤-1

−2x−5>4

-2x>9

x<-9/2

So x < -9/2 V x ≤ -1

7 0
2 years ago
HELPPPP PLEASE: calculate the equation for line passes (-9,36) (21,56)
STALIN [3.7K]
If you subtract -9-21 and 36-56
8 0
3 years ago
Help me with this question : <br><br><img src="https://tex.z-dn.net/?f=%20%5Cquad%20%5Ctt%20%5C%3A%28%20%20%7Ba%7D%5E%7B%7D%20%2
Bas_tet [7]

Answer:

a² + 2ab + b²

Explanation:

⇒ (a + b)²

⇒ (a + b)(a + b)    

[apply distributive method: (a + b) (c + d) = ac + ad + bc + bd]

⇒ a² + ab + ab + b²

⇒ a² + 2ab + b²

3 0
2 years ago
Read 2 more answers
After graduation your first job is with abibas inc., a company that specializes in sportswear with collegiate logos. to improve
Aleksandr [31]

The probability that the new UNC-CH logo will be profitable is <u>0.9897 </u>while the probability for NC State will be <u>0.9600.</u>

<h3 /><h3>What is the probability that the brands will be successful?</h3>

The probability that the UNC-CH logo is successful is:

= Favorable odds / Total odds

= 96 / (96 + 1)

= 0.9897

The probability that the NC State logo is profitable is:

= Favorable odds / Total odds

= 24 / (24 + 1)

= 0.9600

There is less than a 3% variation in both logos' profitablility probability so the company should not spend 4 times more on UNC-CH.

Find out more on probabilities of profit at brainly.com/question/13500115.

#SPJ1

4 0
2 years ago
Other questions:
  • 9 and 9/10 as a decimal
    14·2 answers
  • Which equation represents the problem? anna can spend a total of $48 on school supplies. she needs to buy school supplies for 9
    13·1 answer
  • Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 67% in the class after 9 grades. What is the mi
    9·1 answer
  • When y varies directly with x, if y = 9 and x = 8 find y when x = 16
    8·1 answer
  • Write the standard form of the equation of the circle with the given center and radius.
    10·1 answer
  • Which of the following numerical expressions has the least value?
    5·2 answers
  • Cindy paid $2.58 for a 2/3 pounds of sunflower seeds. how much does each pound of sunflower cost?
    8·1 answer
  • Elsie bought a video for 85.00 if the store charges 170% of its cost for the game, how much is the the store's profit
    7·1 answer
  • I need help. hehe.<br><br> Please and thankyou :DDD
    6·1 answer
  • Y varies directly with X. Y=10 when X=5, find y when X=14
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!