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
valentinak56 [21]
3 years ago
13

What is the area of the trapezoid shown? Express your answer in simplest exact form.

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

Answer:

3√3

Step-by-step explanation:

The area of a trapezoid is calculated by multiplying the sum of bases by 2 and that divided by 2

(2 + 4) ÷ 2 × √3 = 3√3

You might be interested in
Please help with the following
Neporo4naja [7]

Answer:

a: start at n=1 end at infinity equation = 4^n

b: start at n=3 end at 5 equation = n/(n+1)

c: start at n=1 end at 100 equation = (-1)^n*(1/n)

d: start at n=1 end at n=9 equation = -2

e: starts at n = 0, ends at infinity equation = 5 + 2n

f: starts at n = 0 ends at 4 equation = (7+n)*m^(6+n)

Let me know if you don't see how this works.  

Step-by-step explanation:

So sigma notation has three parts, the start, the end and the equation, the start is below the sigma, the end is above and the equation of course is to the side.  i will tell you the parts, but let me know if you need further explanation

4 + 16 + 64 + 256

I always start with checking if it is arithmetic which would mean something is added  Well, you add 12 to 4 to get 16 and way more than 12 to get to 64, so that's not right.

Next I check geometric.  4*4 = 16 then 16*64, so we're good there.  Geometric sequences have the form ab^x where a is the starting number and b is the number that is multiplied by.  well both are 4 so we can just use 4^x, though with sigma notation n s usually used instead of x.

so, the equation is 4^n, the starting point is n=1 becaus the starting number is 4 and for 4^n to be 4 n has to be 1.  Now, where does it end?  Well it doesn't have one, which is shown by the ... at the end. so you should put infinity.

b. 3/4 + 4/5 + 5/6

Not arithmetic or geometric, you can't add anything to each or multiply anything 3/4 gets .05 added to it but 4/5 doesn't and 3/4 is mltiplied by 16/15 but 4/5 is not.  So now we look for more special sequences..

Well for 3/4 4 is one more than 3, and the same in 4/5 and 5/6.  Also, 4 is the denominator in the first then the numerator in the second, so we have a pattern.  the equation is n/(n+1) then it starts at 3 and ends at 5 since there is no ...

c. -1 + 1/2 - 1/3 + 1/4 - ... + 1/100

Again, not arithmetic of geometric.  First thing to notice is that it alternates from - to +, now how can a number do that?  well what is a negative number to different exponents?  let's take (-1)^1, (-1)^2, (-1)^3 and so on.  ou'll notice this alternates between -1 and 1, so let's use that.  also note the first number is negative, so we want to make sure that's the case for us.

Now for the numbers themselves.  I think the pattern is pretty obvious 1/1, 1/2, 1/3 and so on, so the equation is 1/n up to 100.  So this one does have an end, even though there's that ..., there is also a number after that though.  So let's set this up with a start at 1 and end at 100

(-1)^n*(1/n) and it keeps the negative as the first number too

d.  -2 - 2 - 2 - 2 - 2 - 2 - 2 - 2

This one's pretty easy, there are eight 2s.  since the 2s have nothng to do with any variable the equation is just 2, and we can start at any n as long as we end at an n 8 away.  let's do it normally  and start at n=1 so we end at n=9

e.  5 + 10 + 17 + 26 + ...

... means no end again.  No obvious pattern so let's check arithmetic and geometric.  Well we add 5 to 5, 7 to 10 then 9.  Now, those aren't the same numbers, but they are increasing 5 has 2 added to it to get to 7, then 7 gets 2 added to get to 9. so the equation is 5 + (2n) as long as it starts at n=0.  So all together that's starts at n = 0, ends at infinity equation = 5 + 2n

f.  49m^6 + 64m^7 + 81m^8 + 100m^9 + 121m^10

Little bit tricky, hope you know your square numbers.  more obviously though the exponents are increasing y 1, so we have that.  m^(6+n) where n starts at 0 and then ends at 4 to get to m^(6+4) at the end.  The numbers of the terms meanwhile are increasing as well.  Hopefully you can tell they are square numbers.  49 = 7^2 64 = 8^2 and so on.  so it starts at 7^2so now we know the equation is (7+n)m^(6+n).  You could also play with the start and ending points to make it look simpler, but I would just go with that.  

5 0
3 years ago
1,1,4,3,9,6,16,10,25,15,
Butoxors [25]

what are we suppose to do in this?

6 0
2 years ago
I need help w the summer packet pls
Sergio039 [100]

Answer:

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A dinner at a restaurant was advertised at $60 plus 18% tax. The TOTAL bill for this dinner was??​
Arlecino [84]

Answer: $70.80

Step-by-step explanation:

60*0.18

10.8

60+10.8

$70.80

7 0
3 years ago
Read 2 more answers
What is bigger 0.16 or 1/10
Lera25 [3.4K]

Answer:

.16

Step-by-step explanation:

.16 X 100 equal to 16/100

6 0
2 years ago
Read 2 more answers
Other questions:
  • Help ASAP
    13·1 answer
  • A Family has five children . The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 3 bo
    6·1 answer
  • What equals 7 in multiplication
    13·1 answer
  • The figure is a parallelogram.<br> Solve for x.
    7·1 answer
  • What is -3/5 as a decimal​
    9·2 answers
  • How do I complete the square for 4x^2+ 8x-5= 0?
    15·2 answers
  • Sort the words into a category based on whether they indicate a positive number or a negative number
    6·1 answer
  • The conditional relative frequency table was generated using data that compared a student’s grade level and whether or not they
    10·1 answer
  • The diameter of a circle is 34 kilometers. What is the circle's circumference?
    8·1 answer
  • Which equation is a direct variation function? y=x y=1/4x+2 y=x2 y=4​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!