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
wel
2 years ago
15

Use the law of cosines round to the nearest tenths

Mathematics
1 answer:
PtichkaEL [24]2 years ago
3 0

Answer:

x = 11.5

Step-by-step explanation:

Formula

a^2 = b^2 + c^2 - 2*b*c * cos(A)                     Substitute givens in formula

Givens

  • b = 31
  • c = 26
  • A = 21o
  • a = x                                                      Let a = x to present the formula in it's most normal way

Solution

a^2 = 31^2 + 26^2 - 2 * 31 * 26 * cos(21)       Find -2*31*26*cos(21)

a^2 = 961 + 676  -1504.93                             Combine

a^2 = 1637 -1504.93                                      Combine again

a^2 = 132.07                                                   Take the √ on both sides

√a^2 = √132.07

a = 11.5 Rounded.

Answer

x = 11.5

You might be interested in
What is the value of x?<br><br> Enter your answer in the box.
omeli [17]

Answer:

x=28

Step-by-step explanation:

We can use proportions to solve this problem.  Put the side of the small triangle over the side of the large triangle.

x            42

------ = ----------

x+10        42+15

x            42

------ = ----------

x+10        57

Solve using cross products

57x = 42(x+10)

Distribute

57x = 42x+420

Subtract 42x from each side

57x-42x = 42x-42x+420

15x = 420

Divide by 15

15x/15 = 420/15

x=28

3 0
3 years ago
What is the value of x in the equation x^3=216
FinnZ [79.3K]

Answer:

The answer is 6

Step-by-step explanation:

5 0
3 years ago
3601-589= What strategy did you use?
Anton [14]

Answer:

3601

-589

———-

To

359(11)

-589

———-

3012

Step-by-step explanation:

3 0
2 years ago
Any help with these two ratio problems are highly appreciated.
Lesechka [4]
A. 3 tbsp per 2 tsp
b. 135 pitches per 45 strikes
c. 128 miles per 4 hours
4 0
3 years ago
The heights of male students are normally distributed with a mean of 160 cm and a standard deviation
kompoz [17]

Answer:

2.28%

Step-by-step explanation:

As this is normally distributed, we can use z scores to find the percentage.

First, find the z-score for 148.

The z-score that you get is:

(148-160)/2=2

As we see that z=2, we can use a calculator or a z-score chart to find the percentage less than a z score of 2.

I used my chart and found: 2.28%

4 0
2 years ago
Read 2 more answers
Other questions:
  • Find m <br><br><br><br> A. 50°<br> B. 55°<br> C. 60°<br> D. 65°
    15·1 answer
  • there are 267 students and 21 adults going on a school trip. An equal number of people will ride on each bus. If there are 9 bus
    6·2 answers
  • What does a residual value of 1.3 mean when referring to the line of best fit of data set?
    13·2 answers
  • Maya chatted online with all her friends for 2/3 of an hour on Saturday and 1/4 of an hour on sunday. During that time period, s
    5·2 answers
  • Lexi measured the dolls in her collection so she could build a new display case the 7 dolls heights were 7in 5in 6in 9in 8in 9in
    6·1 answer
  • Write 0.851 as a fraction in simplest form.
    14·1 answer
  • Find the interest on a loan of $5000 for two years at 9%
    9·2 answers
  • The area of the circle is 25 square centimeters.
    9·1 answer
  • what is 23456776543211234654345676543456765434567654.5096875849 divided by 234.5678765424587654357876543 divided by 9999?
    12·2 answers
  • GIVING BRAINLIEST AND EXTRA POINTS! Write the equation of the linear relationship in slope-intercept form, using decimals as nee
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!