All categories

4 years ago

If the perimeter of an isosceles triangle with integral sides is 2017, how many different lengths are possible for the legs

1 answer:

7 0

Because the perimeter is 2017, the side lengths must add to 2017;
a+b+c=2017
An isosceles triangle has two sides of the same length, so b=a. These two sides of the same length are the "legs".
a+a+c=2017
2a+c=2017
Integral means integer (assuming this is not a calculus problem). So, the smallest possible length for side c is 1.
2a+1=2017
2a=2016
a=1008
The legs can be up to 1008 units long apiece. Because the legs must be integer values, 1008 different lengths are possible for the legs.

You might be interested in

Write the polynomial in standard form. 4g – g3 + 6g2 – 9

Brrunno [24]

Write it in descending order of degree
that is

-g^3 + 6g^2 + 4g - 9

8 0

3 years ago

Identify two angles that are marked

Natalka [10]

Answer:

Angles G and H are congruent.

Step-by-step explanation:

5 0

2 years ago

A city that had 7500 thousand people at the beginning of the year 2000 has been decreasing by 3.6% per year. a. What is the 1-ye

storchak [24]

Answer:

Step-by-step explanation:

a) if the population at the beginning of the year 2000 was 7500 people,

The 1-year percent change in the city's population would be

3.6/100 × 7500 = 270

b) The population after 1 year is

7500 - 270 = 7230

The percentage of the previous value of the population to its new value for each year is

7230/7500 × 100 = 96.4%

c) the 1-year growth factor for the population of the city would be

(1 - 0.036)^1 = 0.964

d) the function, g that determines the population of the city (in thousands of people) in terms of the number of years t since the beginning of 2000 would be

g = 7500(1 - 0.036)^t

g = 7500(0.964)^t

5 0

3 years ago

Which of the following in equalities matches the graph?

Natalka [10]

I believe it is D)3x+2y<7
Hope I helped

7 0

3 years ago

Read 2 more answers

What is a necessary step for constructing perpendicular lines through a point on a line?

maxonik [38]

Answer:

Edit: This is incorrect, it might actually be the 3rd answer, draw arcs on either side of a given point on the line?

Draw arcs on either side of a given point off of the line I believe.

Step-by-step explanation:

Bisect a Segment:

Step 1 - open up your compass so that it is slightly larger than the segment. Put the compass on point A on the given segment and swing an arc above and below the lines. Do the same on point B. Create the points where the circle intersects.

Step 2 - Draw a line going through the points. That’s the bisector.

6 0

3 years ago

Read 2 more answers