MATHEMATICS HIGH SCHOOL

Convert these base five and base two numbers to base ten.
a. 1312ve
b.110110110two

Answers

Answer 1
Answer: I am assuming A is base 5 based on the ve

a. 1*5^3 + 3*5^2 + 1*5^1+ 2*5^0
125+75+5+2

a = 207

b. 2+4+16+32+128+256

b = 438

(please note that a binary number having 9 digits is highly unusual. most are normally 8 which makes up a bit)

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In a certain triangle, the measure of the largest angle is 20 degrees more than twice the measure of the smallest angle. Five times the measure of the smallest angle equals the sum of the measures of the other two angles. Find the measures of the three angles.

Answers

Let the medium angle be B degrees the small angle be A degrees the large angle be C degrees Then C = 2 B + 20 ..................X 5 B = A + C ..................Y Sum of all angles A + B + C = 180 .............Z Applying Y in Z 5 B + B = 180 6 B = 180 B = 30 From X C = 2 x 30 + 20 = 60 + 20 = 80 From Y 5 x 30 = A + 80 150 = A + 80 150 - 80 = A = 70 Hence medium angle B = 30 degrees the small angle A = 70 degrees the large angle C = 80 degrees

Final answer:

To solve the problem, we apply the properties of a triangle and make a system of linear equations. Setting up appropriate mathematical expressions for angles and solving the equation gives the angles as 30, 80 and 70 degrees.

Explanation:

This problem involves angles in a triangle and can be solved through linear equations. We know from the problem that the largest angle is 20 degrees more than twice the smallest angle, and 5 times the smallest angle equals the sum of the measures of the other two angles.

  1. Let's denote the smallest angle as x. Thus the largest angle becomes 2x + 20.
  2. The third angle, due to the property that the sum of angles in a triangle equals 180, would be 180 - x - (2x + 20).
  3. You can insert the expression of the third angle into the second equation from problem statement, which gives: 5x = x + 2x + 20. Solving this equation gives x = 30.
  4. Therefore, the angles are: 30 degrees, 2*30 + 20 = 80 degrees and 180 - 30 - 80 = 70 degrees.

Solution verification:

  • The sum of all angles is indeed 180 degrees.
  • The largest angle is indeed 20 degrees more than twice the smallest one.
  • Five times the smallest angle is indeed equal to the sum of the two other angles.

Learn more about Triangle Angles here:

brainly.com/question/36906039

#SPJ2

Which table shows a negative correlation?

Answers

If we graph the x - y values in a scatter plot and draw a line of best fit, we can easily see the solution.

Negative correlation means y decreases as x increases, or a negative sloping line.

Attached is the graphs of all the 4 choices. Clearly, the 4th table shows negative correlation.


ANSWER: Last table (4th table) shows negative correlation

The table that shows negative correlation is the fourth table.

What is correlation?

Correlation is used in statistics to determine the relationship that exists between two variables.

Negative correlation means there is no relationship between the variables.  When plotted on a graph, a negative correlation would be downward sloping. Looking at the tables, when plotted, only the fourth table would be downward sloping.

To learn more about negative correlation, please check: brainly.com/question/27246345

Can someone please help?

Answers

7(X^2+X)=49

X=1 OR X=-2
The answer is 2. 2 

Hope this helped. Good luck!

What is 7/24 by 35/38

Answers

If you would liketo divide 7/24 by 35/38, you cancalculate this using the following steps:

7/24 / 35/38 =7/24 * 38/35 = (7 * 38) / (24 * 35) = 19/60

Thecorrect result would be 19/60.

Of all the people that attend movies 67% are in the 12-29 age group. At one theater, 300 people attended a showing of a certain movie. How many were in the 12-29 age group?

Answers

67 multiplied by 3 is 201, so there is 201 people in the age group 12-29. Also, 67% is approximately two thirds, and we can see that reflected in our answer.

Anyone know this? Help pls!

Answers

Answer:

Step-by-step explanation:

r = 4.9 miles

Area of circle = πr²

= 3.14 * 4.9 * 4.9

= 75.39 square miles
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