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snow_lady [41]
3 years ago
11

A stop sign is in the shape of a regular octagon. Each side measures 12.4 inches and the apothem of the octagon measures 15 inch

es. What is the area of the stop sign?
Mathematics
2 answers:
saul85 [17]3 years ago
7 0
744 square inches octagon area
Nikolay [14]3 years ago
6 0
The 8 sides of the regular octagon are all the same length, so the perimeter of it is 8*(12.4 in) = 99.2 in.

The area of a regular polygon is half the product of the perimeter and the apothem.
  area = (1/2)(99.2 in)(15 in) = 744 in²

The area of the stop sign is 744 in².
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State what additional information is required in order to know that the triangles are congruent
Sindrei [870]

Answe no no no the first one

Step-by-step explanation: I didn't see the last part it's the first one

8 0
3 years ago
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to
Stolb23 [73]

Answer:

Step-by-step explanation:

To define the perpendicular line we need to first know the slope of the reference line graphed.

m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)

m=(1-5)/(2-0)

m=-4/2

m=-2

For lines to be perpendicular their slopes must satisfy

m1m2=-1, we have a line with a slope of -2 so

-2m=-1

m=1/2, so our perpendicular line is so far

y=x/2+b, it must have point (3,2) so we can solve for b

2=3/2+b

b=1/2, so the swimmer will travel along the line

y=x/2+1/2

6 0
3 years ago
Which of the relations below is not a function?
Ilia_Sergeevich [38]

Answer:

Relations B and E do not represent the function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

If we closely observe relation B, and E i.e.

  • B) {(3,4), (4,5), (3,6). (6,7)}
  • E) {(3,4), (4,5), (4,6)}

Relation 'B' IS NOT A FUNCTION

Relation B has duplicated or repeated inputs i.e. x = 3 appears twice times. we can not have duplicated inputs as there should be only 1 output for each input.

Thus, relation B is NOT a function.

Relation 'E' IS NOT A FUNCTION

Relation E has duplicated or repeated inputs i.e. x = 4 appears twice times. we can not have duplicated inputs as there should be only 1 output for each input.

Thus, relation B is NOT a function.

Therefore, relations B and E do not represent the function.

7 0
3 years ago
Can you please help thanks
katrin2010 [14]

Answer:5/2a + 10/3b

Step-by-step explanation:

(1/6)(15a+20b)

=(1/6)(15a)+(1/6)(20b)

6 0
3 years ago
What is the equation of the line x–3y=18 in slope-intercept form?
Minchanka [31]

Answer:

Simple...

you have: x-3y=18

You want to convert it into slope-intercept form or y=mx+b form-->>>

x-3y=18

Isolate the variable-->>

x-3y=18

-x      -x

-3y=-x+18

Now simply divide...

-3y/-3  = -x+18/-3

y=1/3x=6

Thus, your answer.

3 0
3 years ago
Read 2 more answers
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