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Neporo4naja [7]
2 years ago
8

2. In triangle ABC A = 3x + 10, B = 6x - 20and C = x + 60. Find the measure of A​

Mathematics
1 answer:
IgorC [24]2 years ago
5 0

Answer:

49

Step-by-step explanation:

3x+10+6x-20+x+60=10x+50

10x+50=180

10x=130

x=13

A=3*13+10=49

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A cyclist travels at a speed of 20 km/hour. How far will he travels in 50 <br><br>minutes?​
masha68 [24]

Answer:

This is not my answer btw

Step-by-step explanation:

Given that speed(v) = 20km/h and time(t) = 50 min

We have to find distance (d)

First convert speed into m/s

v = (20*1000m)/(1*3600s)

v = (50/9) m/s

Now convert time into second

t = 50*60 = 3000 sec

As we know that

d = v*t = (50/9)*3000 = 50000/3

d = 16666.67m or 16.67km

Ans: 16666.67m or 16.67km

3 0
2 years ago
The diameter of holes for a cable harness is known to have a normal distribution with a standard deviation of 0. 01 inch. A rand
Sindrei [870]

For the given standard deviation and sample mean the two sided confidence interval on mean diameter foe 95% and 99% is given by        ( 1.4983 , 1.5107 ) and ( 1.49635 , 1.51265 ) respectively.

As given in the question,

Confidence interval for population mean is given by:

\bar{x} ± z × ( σ / √n)

Where,

σ = population standard deviation.

n= sample size

\bar{x} = Sample mean

Given values from the random sample size are :

σ = 0.01 inches

n= 10

\bar{x} = 1.5045

Critical value confidence interval (using x-value table)

z  for 99% = 2.576 and Significance level = 0.01

z for 95% = 1.960 and Significance level = 0.05

99% two-sided confidence interval on the mean hole diameter is equal to :

\bar{x} ± z × ( σ / √n)

= 1.5045 ± 2.576 × ( 0.01 / √10)

= 1.5045 ± 0.00815 (approximately)

= 1.5045 - 0.00815 , 1.5045 + 0.00815

= ( 1.49635 , 1.51265 )

95% two-sided confidence interval on the mean hole diameter is equal to :

\bar{x} ± z × ( σ / √n)

= 1.5045 ± 1.960 × ( 0.01 / √10)

= 1.5045 ± 0.00620 (approximately)

= 1.5045 - 0.00620 , 1.5045 + 0.00620

= ( 1.4983 , 1.5107 )

Therefore, for the given standard deviation and sample mean the two sided confidence interval on mean diameter foe 95% and 99% is given by ( 1.4983 , 1.5107 ) and  ( 1.49635 , 1.51265 ) respectively.

Learn more about standard deviation here

brainly.com/question/16555520

#SPJ4

4 0
9 months ago
If an 8 hour work day includes a total break time of 22 1/4%, how many hours are used for breaks?
torisob [31]

Answer:

1 39/50 hours. This is equivalent to 1.78 hours.

Step-by-step explanation:

The sum of the hours of work and the hours for break gives the work day hour which has been given as 8 hours.

Furthermore, given that the break time is 22 1/4%, the number of hours for break

= 22 1/4% × 8 hours

= 89/400 × 8

= 1 39/50 hours

4 0
2 years ago
Monica won 7 of the 16 science competitions she entered. To the nearest thousandth, find her wining average.
Nimfa-mama [501]
The answer is:
<span>.438

Hope this Helps!!</span>
4 0
3 years ago
Read 2 more answers
What is a horseshoe crab?
Yanka [14]
Horseshoe crabs are marine and brackish water arthropods. They live primarily in and around shallow coastal waters on soft sands.
5 0
3 years ago
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