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
Elenna [48]
3 years ago
9

What is the value of b?

Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0

Answer:

17

Step-by-step explanation:

Using the law of cosines in ΔABC

b² = a² + c² - (2ac cosB) ← substitute in values

   = 25² + 28² - (2 × 25 × 28 × cos36.9°)

   = 625 + 784 - 1400 cos36.9°

   = 1409 - 1400 cos36.9° ( Take the square root of both sides )

b = \sqrt{1409-1400cos36.9} ≈ 17 ( nearest whole number )

   

You might be interested in
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random s
wel

Answer:

95%: (3278.354 ; 3270.083)

99% : (3221.646 ; 3278.354)

Step-by-step explanation:

Given :

Sample size, n = 12

Mean, xbar = 3250

Sample standard deviation = √1000

The 95% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.05, df=12-1 = 11 ;

Tcritical at 95% = 2.20

Hence,

Margin of Error = (2.20 * √1000/√12) = 20.083

Confidence interval : 3250 ± 20.083

Lower boundary = 3250 - 20.083 = 3229.917

Upper boundary = 3250 + 20.083 = 3270.083

2.)

The 99% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.01, df=12-1 = 11 ;

Tcritical at 99% = 3.106

Hence,

Margin of Error = (3.106 * √1000/√12) = 28.354

Confidence interval : 3250 ± 28.354

Lower boundary = 3250 - 28.354 = 3221.646

Upper boundary = 3250 + 28.354 = 3278.354

3 0
3 years ago
Amare runs 1/10 mile in 2/3 minutes. What is his speed in miles per minute
liraira [26]

Answer:

6 2/3 minutes

Step-by-step explanation:

Amare runs 1/10 mile in 2/3 minutes

Therefore his speed in miles per minutes clean be calculated as follows

= 1/10, the denominator here is 10

= 10 × 2/3

= 20/3

= 6 2/3 minutes

3 0
2 years ago
Blake has b baseball cards. His aunt gave him more cards, increasing his total number of cards by 25%. Which expression represen
Vera_Pavlovna [14]
.25b+ b is the answer to ur question
6 0
3 years ago
Read 2 more answers
Find the sale price of the item. Round to two decimal places if necessary. Original price: $71.00 Markdown: 33% The sale price i
soldi70 [24.7K]

Answer:

8. $35.10

9. $59.63

10. $13.43

11. $70

12. Take the percent you pay (100-the discount) as a decimal and multiply it by the regular price.

Step-by-step explanation:

For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22-78. We use this percent byb  multiplying the price with a decimal. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.

8. Percent off is 22%. We pay 78%=0.78.

45(0.78)=$35.10

9. Percent off is 33%. We pay 67%=0.67.

89(0.67)=$59.63

10. Percent off is 44%. We pay 56%=0.56.

23.99(0.56)=$13.43

11. Percent off is 75%. We pay 25%=0.25.

279.99(0.25)=$70

12. See explanation above.

3 0
3 years ago
Read 2 more answers
How to find the missing lengths and angles of a triangle
Vikki [24]
Add every side up and then subtract it by 180
5 0
3 years ago
Other questions:
  • The graph shows a proportional relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes
    8·2 answers
  • What is the algebraic expression for the area of this house block?
    13·1 answer
  • What is the median??
    6·2 answers
  • Is 0.71711... a rational number or irrational?
    8·2 answers
  • Help me with my math and please show your work
    7·1 answer
  • Which of the following equations matches the graph above?
    11·1 answer
  • Maria lives 98 miles away from her grandparents. She wants to be at her grandparents’ house by 3:00 pm. If she leaves her house
    8·2 answers
  • Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices
    15·1 answer
  • What is 11% of R250?<br><br>​
    5·2 answers
  • Quiz 3-1 parallel lines transversals and special angle pairs
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!