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rjkz [21]
3 years ago
12

one common factor of two numbers is 40. another common factor is 10. if both numbers are less than 100, what are the two numbers

?
Mathematics
1 answer:
inn [45]3 years ago
3 0
The answer will be 40 and 80
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I need help I been hitting a roadblock for the past hour. Can anyone help me?​
snow_lady [41]

Answer:

hhuh

Step-by-step explanation:

7 0
3 years ago
10. Two lighthouses are located on a north-south line.
Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

\mathbf{\angle A = 180^o - 120^o\ 43'}

Convert to degrees

\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}

\mathbf{\angle A = 180^o - (120^o +0.717^o)}

\mathbf{\angle A = 180^o - (120.717^o)}

\mathbf{\angle A = 59.283^o}

\mathbf{\angle B = 39^o43'}

Convert to degrees

\mathbf{\angle B = 39^o + \frac{43}{60}^o}

\mathbf{\angle B = 39^o + 0.717^o}

\mathbf{\angle B = 39.717^o}

So, the measure of angle S is:

\mathbf{\angle S = 180 - \angle A - \angle B} ---- Sum of angles in a triangle

\mathbf{\angle S = 180 - 59.283 - 39.717}

\mathbf{\angle S = 81}

The required distance is distance AB

This is calculated using the following sine formula:

\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }

Where:

\mathbf{AS = 3742}

So, we have:

\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}

Make AB the subject

\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}

\mathbf{AB= 5783.96}

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

5 0
2 years ago
14 is 28% of what number
Sindrei [870]
'is' in mathematics means the equal sign
'of' in mathematics means the multiplication sign
the number can be any variable you chose it to be

14 = \frac{28}{100} \times x

Divide both sides by 28

\frac{1}{2} = \frac{x}{100}

Multiply by 100 on both sides to isolate 'x'

\boxed{\bf{x=50}}

14 is 28% of 200
8 0
3 years ago
Read 2 more answers
Lisa needs to travel 23,4 miles to get to Kyle, Texas. She has driven 13.9 miles now. How many miles does she need to travel to
Vinil7 [7]
23.4 miles - 13.9 miles = 9.5 miles
7 0
3 years ago
A beachfront hotel is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of night
Kamila [148]

Answer:

0.1369

(4.732, 5.268)

Step-by-step explanation:

Given that:

Mean, m = 5

Standard deviation, s = 1.5

Error margin, E = 0.5

Sample size, n = 120

Zcritical at 95% = 1.96

Standard Error of the mean (S. E) :

S. E = s /sqrt(n)

S. E = 1.5 / sqrt(120

S.E = 1.5 / 10.954451

S. E = 0.1369306

S. E = 0.1369

Confidence interval (C. I)

Mean ± (Zcritical * S.E)

5 ± (1.96 * 0.1369)

Lower boundary = 5 - 0.268324 = 4.731676

Upper boundary = 5 + 0.268324 = 5.268324

(4.732, 5.268)

5 0
3 years ago
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