Determine whether or not a regular polygon can have an interior angle of 100
Answers
Explanation:
A polygon must be made up of at least 3 sides. It has to be at least 180° (A triangle)
Related Questions
PLEASE HELPIn the following figure (AB) (CD). Suppose that m<1=32 (degrees). What is the m<6 ? Explain your reasoning.
Check all the equations that apply to meet the Segment AdditionPostulate in segment OQ. OP=6X+5,PQ=4x and OQ=45
do you think making a table is the best way to find the total area of the rooms given in the example is there another problem solving strategy you think would work just as well or better describe the alternate method and why you think it works
What is the degree of each monomial? 7m^6n^5A. 5 B. 11 C. 6 D. 7
Answers
The correct answers are:
Explanation:
Since she is adding two more jumps every time she goes down hill, this is an arithmetic sequence. The general form of an arithmetic sequence is
Since we want the number of jumps on her 4th through 12th trips, we will set n in the summation from 4 to 12. n=4 goes at the bottom of Σ and 12 goes at the top, to represent the values we are interested in.
Beside this, we write our general form. The first term is 6 and d, the common difference, is 2. This gives us 6+2(n-1) beside the summation:
To evaluate this, we substitute the values 4, 5, 6, 7, 8, 9, 10, 11 and 12 in for n, adding all of the values together:
6+2(4-1)+6+2(5-1)+6+2(6-1)+6+2(7-1)+6+2(8-1)+6+2(9-1)+6+2(10-1)+6+2(11-1)+6+2(12-1)
=6+6+6+8+6+10+6+12+6+14+6+16+6+18+6+20+6+22
=180
Attempt Jumps Accumulated Jumps
1 6 6
2 8 14
3 10 24
4 12 36
5 14 50
6 16 66
7 18 84
8 20 104
9 22 126
10 24 150
11 26 176
12 28 204
Total jumps from 4th trip through 12th trip: 204 - 24 = 180 jumps
-inch blades (so the radius of the circular fan is
20
inches). Suppose the linear speed of the tip of a blade is
10
feet per second.
Answers
OK. Got it ! So the fan is spinning at about 57.296 revolutions per minute.
What's your question ?
and
3/7
A.
2/63
and
3/63
B.
7/63
and
9/63
C.
14/63
and
27/63
D.
18/63
and
21/63
Answers
Answer:
C is the correct
Step-by-step explanation:
Answers
___
100
if you times the denominator by 20, you have to do the same thing to the numerator so 3 times 20 is 60 so that's 60/100 which is 0.60 and that's equivalent to 3/5 and 6/10 and all that.so 0.60 times 10 is 6, so your coach runs 6 miles everyday. or you could do 10/1 times 3/5. hope that helped.
Answer:
6 miles
Step-by-step explanation:
3/5 multiplied by 10
Answers
Answer:
The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.
Step-by-step explanation:
We know that,
The parent function is .
Now, g(x) is transformed to the function .
That is, we see that,
g(x) is translated 1 unit to the right, which gives and then it is translated 2 unit downwards, which gives f(x).
So, we get,
The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.
Final answer:
The function ƒ(x) = |x - 1| - 2 has two transformations. It has a horizontal shift to the right by 1 unit and a vertical shift down by 2 units.
Explanation:
The function ƒ(x) = |x - 1| - 2 is a transformation of the basic absolute value function which is |x|. This function is undergoing a shift. Specifically, it is encountering two types of transformation. The |x - 1| part implies the graph of the function is shifted to the right by 1 unit. And the -2 at the end of the function suggests that the graph is shifted downwards by 2 units. Thus, the function ƒ(x) = |x - 1| - 2 illustrates a horizontal shift to the right by 1 unit and a vertical shift downwards by 2 units.
Learn more about Function Transformation here:
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Answers
Answer:
With Method I, they should plan to refinish 92 chairs and with Method II they should plan to refinish 70 chairs.
Step-by-step explanation:
This problem can be solved by means of a system of equations, that is to say a system that in this case will contain 2 linear equations with two variables: "x" and "y".
First you must define what your variables x and y are:
- x: Chairs refinished by method I.
- y: Chairs refinished by method II.
On the one hand, you know that between method I and method II they plan to work 151 hours. In method I, each chair takes 0.5 hours of work, this means that to obtain the total amount of time it takes to work in the "x" chairs by this method, 0.5 must be multiplied by the number of chairs. You can apply the same reasoning to calculate the total amount of time it takes to work on the "y" chairs by method II knowing that each chair takes 1.5 hours. Everything said above is represented by the equation:
Equation (A)
In the equation the values 0.5 and 1.5 are represented in the form of a fraction (1/2 and 3/2 respectively) to be able to solve more in a way how the system of equations.
On the other hand, to state the other equation of the system, it must be taken into account that by method I the material costs $ 9 for each chair and by method II the material costs $ 7 for each chair. To determine the value of the material in each method, multiply the value of each chair by the amount of chairs refinished in each case. And the sum of the value of the materials of both methods must be $ 1318. This is represented by the equation:
9*x+7*y=1318 Equation (B)
Having both equations, you can solve the system. There are several methods to solve it, but one of the easiest and most widely used methods is substitution. This consists of isolating one of the variables from one of the equations and replacing it in the other equation.
In this case you can choose to isolate the variable x from equation B, resulting in:
Equation (C)
It is always preferable to work in fractions for convenience to solve the calculations.
Now you replace the expression obtained from x in equation A, obtaining:
Now you have an equation with a variable, "y", which can be solved, that is, you can get the value of "y". So "y"=70
Remembering that the variable "y" is the number of chairs refinished by method II, the value of "y" means that 70 chairs by that method were refinished.
To calculate the value of "x", you simply replace the value of "y" in either of the two equations (A) or (B) of the system and solve the equation. Or you can replace the value of "y" in equation (C): Either way the result must be the same: "x"=92
Remembering that the variable "x" is the number of chairs refinished by method I, the value of "x" means that 92 chairs by that method were refinished.