1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Y_Kistochka [10]
3 years ago
6

The length of a triangle are consecutive odd integers. The perimeter is 87cm. What is the length of the longest side

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0
The integers  will be 2n + 1, 2n + 3 and 2n + 5  where n >= 0 , so

2n + 2n + 2n + 1 + 3 + 5  = 87

6n = 78

n = 13

so the 3 lengths are  27, 29 and 31

So length of the longest side = 31 cms  answer
You might be interested in
What does -6x-6 equal to??
polet [3.4K]

-6x-6

you can write it as

-6(x+1)

8 0
3 years ago
Read 2 more answers
The expression (1/50)(sqrt(1/50)+sqrt(2/50)+sqrt(3/50)+...+sqrt(50/50) is a Riemann Sum approximation for
alexira [117]
\dfrac1{50}\left(\sqrt{\dfrac1{50}}+\sqrt{\dfrac2{50}}+\cdots+\sqrt{\dfrac{50}{50}}\right)=\displaystyle\sum_{n=1}^{50}\sqrt{\dfrac n{50}}\frac1{50}

describes a sum of the areas of 50 rectangles, each of width \dfrac1{50}, and the nth rectangle has height \sqrt{\dfrac n{50}}.

\sqrt{\dfrac n{50}} ranges from a small positive number to 1, which means the integration interval must be [0,1]. The sum is then the right-endpoint Riemann sum of \sqrt x over the interval with 50 equally spaced subintervals, so

\displaystyle\sum_{n=1}^{50}\sqrt{\dfrac n{50}}\frac1{50}\approx\int_0^1\sqrt x\,\mathrm dx

The sum itself evaluates to roughly 0.676, while the exact value of the integral is \dfrac23\approx0.667.
3 0
3 years ago
write the equation of the line in standard form that passes through the origin and is parallel to x + y equals 6​
horsena [70]

Answer: x+y=0

Step-by-step explanation:

The equation of the line slope-intercept form is:

y=mx+b

Where m is the slope and b is the y-interecept.

The standard form is:

Ax+By=C

You know that must be parallel to x+y=6, therefore both have the same slope. So you must solve for y:

y=-x+6

Substitute the slope m=-1. Since the line passes through the origin b=0:

 y=-x

Then in standar form is:

x+y=0

5 0
4 years ago
Read 2 more answers
The ratio of the base edges of two similar pyramids is 3:4. The volume of the larger pyramid is 320 in3. What is the volume of t
Andre45 [30]
Use similar volume to calculate
which is the (ratio of edges)^3 = (ration of volume)
so just put the numbers in, let the volume of smaller pyramid be y.
(3/4)^3 = y/320
27/64 = y/320
y=135in3
7 0
3 years ago
Read 2 more answers
Determine the intercepts of the line. y=−2x−21
yuradex [85]
Hi there!

Let's first determine the x-intercept. When dealing with an x-intercept we must realise the y-coordinates equal 0.

y = - 2x - 21 \\ y = 0 \\ \\ - 2x - 21 = 0
Add 21 to both sides.

- 2x = 21
Divide both sides by -2.

x = \frac{21}{2} = 10 \frac{1}{2}
Therefore, the x-intercept is the point (10 1/2; 0).

--------------------------------------
Now let's continue with the y-intercept, which is easier. When dealing with an y-intercept we must realise the x-coordinates equal 0.

y = - 2x - 21 \\ x = 0 \\ \\ y = - 2 \times 0 - 21 = - 21
Therefore, the y-intercept is the point (0; -21).
4 0
3 years ago
Read 2 more answers
Other questions:
  • The equations = p - 0.15p represents the sale price a of an item with an original price p, after a 15% discount. Make a table to
    6·1 answer
  • Carrie wins 1282 tickets at an arcade for each group of 65 tickets Sheba will receive a prize carry solves the problem 1282÷65 i
    10·1 answer
  • A student draws two parabolas both parabolas cross the x axis at (-4,0) and (6,0) the y intercept of the first parabolas is (0,-
    7·2 answers
  • Which decimal is equivalent to 5/6
    5·2 answers
  • What are the values of x in the equation x2 – 6x + 9 = 25?
    15·1 answer
  • Please help me thank you
    7·1 answer
  • Given<br> f(x) = -4(x+5),<br> what is the value of<br> f(-3)?<br> 
    6·1 answer
  • Which shows the mixed number rounded to the nearest whole number? 11 8/12 :10 11 12 13
    12·1 answer
  • Which is it ppl?i need this
    12·2 answers
  • Yoo if you passed algebra one help me with these questions please should be pretty easy u dont have to explain or anything.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!