MATHEMATICS HIGH SCHOOL

Which regular polygon has a minimum rotation of 45 degrees to carry the polygon onto itself?A. octagon
B. decagon
C. Hexagon
D. Pentagon

Answers

Answer 1
Answer:

Answer:

Hence, a regular polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself is:

A. octagon.

Step-by-step explanation:

We know that the for a regular polygon with 'n' sides the minimum rotation that can carry the polygon onto itself is:

(360\degree)/(n)

Here we are given the minimum angle of  rotation such that polygon is transformed to itself as 45 degree.

i.e. we have:

(360)/(n)=45\n\nn=(360)/(45)\n\nn=8

Hence, the number of sides of a polygon are 8.

Hence, the polygon is:

A. octagon.

( Since a polygon with 8 sides is called a octagon)
Answer 2
Answer: octagon, because 360/8 = 45

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An insect egg can be as small as two hundredths of a millimeter long. What is this number written as a decimal? The decimal number is mm.

Answers

Answer:

The length of the insect is 0.005 millimeter

Step-by-step explanation:

The size of the insect is (1)/(200) part of a millimeter

(1)/(200) = 0.005 millimeter

The length of the insect is 0.005 millimeter

Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?

Answers

Given:
b = 82
\
Asked:
a = number of adult tickets sold = ?

Solution:
10.50(a) + 3.47(82) = 2071.50

solving for a:

a= [2071.5-3.47(82)]/10.50

a=168

FINAL ANSWER: There were 168 adult tickets sold.

Answer:

The correct answer would be , a = 168 tickets were sold

Step-by-step explanation:

Cost of adults ticket   = $10.5

Cost of Students Ticket = %3.75  

Sales Totals for opening night = $2071.5

Equation would be  

10.5a + 3.75b = 2071.5

If 82 students attended the the play at that night, it means the value of b would be 82. Thus substituting the value in the above equation, we can find the value of a, which means how many adult tickets were sold.  

10.5a + 3.75(82) = 2071.5

10.5a + 307.5 = 2071.5

10.5a = 2071.5-307.5

10.5a = 1764

a= 168 tickets were sold.

Dawn used a unit fraction to describe how much of her chores she has done. which fraction could dawn have used?

Answers

A possible fraction dawn could use is 1/6. 

1/X is a better answer though where x is number of chores. 

Which relation is a function?A. {(2, 3), (1, 5), (2, 7)}



B. {(-1, 5), (-2, 6), (-3, 7)}



C. {(11, 9), (11, 5), (9, 3)}



D.{(3, 8), (0, 8), (3, -2)}

Answers

Answer: Option B

Step-by-step explanation:

A function has a rule, for each point in the domain, there can be only one point associated in the range.

This means that f(x) can have only one value y that is associated to the point x in the domain.

now, with this in mind, let's analyze the options, where the pairs are always written as (x, y)

A) Here we can see the pairs (2,3) and (2, 7), so we have the point in the domain, 2, that is associated with two different values in the range, so this relation can not be a function.

B) In this set, there are no problems because we do not have ani point in the domain with more than one value in the range, so this can be a function.

C) here point 11 has two different values in the range, so this can not be a function.

D) here point 3 has two different values in the range, so this can not be a function.
b, because for every one you take away from the x value, you add one to the y value

Whic of these is an irrational number A.0 B1.9 C.? D.1/2

Answers

Irrational numbers are real numbers that can't be expressed as ratio integers. It cannot be written as a simple fraction. 

Can someone please explain how I would figure this out

Answers

[1], [3] => a = 49,000/2 = 24,500 => b +c = 24,500 => c = 24,500 - b;
[2] => 25*24,500 + 20b + 15c = 1,052,000 => 20b + 15c = 1,027,500;
20b + 15*(24,500 - b) = 1,027,500 => 5b = 733,500 => b = 146,700 =>
c = - 122,200;
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