I think I got it. Correct me if I am wrong.

Parallelogram diagram I believe down below. We must find the height and then the area using Pythagorean theorem. Since the green shaded part is a 30-60-90 triangle, the base is 1/2 the hypotenuse, therefore it is 3. Now we calculate the height with it.

A^2 + B^2 = C^2
A^2 + 3^2 = 6^2
A^2 + 9 = 36
A^2 = 27
A = 3√3

Therefore the height is 3√3

Now calculate the area using A = bh

A = bh
= (12)(3√3)
= 36√3

So the area is 36√3 square units.

I cannot be sure of this answer because you did not provide a diagram.

4 0

3 years ago

Simplify the expression (⎯+.)+(+.).

Korolek [52]

(-)(+)+(+)
=(-)(+)
=(-)

4 0

3 years ago

Read 2 more answers

The sum of four consecutive integers is 390. Find the integers (Please show your work)

AysviL [449]

Step-by-step explanation:

The sum of three consecutive even integers is 390. What are the integers?

In order to ensure the numbers are even I generally call the first

integer 2n because 2 multiplied by any number will always be even.

Our consecutive even integers are: 2n, 2n+2, 2n+4

2n + 2n+2 + 2n+4 = 390

6n + 6 = 390

6n = 384

n = 64

Our 1st integer is 2n = 2(64) = 128

Our integers are 128, 130, 132

Check: 128+130+132 = 390 which is correct.

2) The sum of three consecutive odd integers is 99. What are the integers?

Same logic applies: An odd integer will always result from 2n+1

So we will call our 3 consecutive odd integers 2n+1, 2n+3, 2n+5

2n+1 + 2n+3 + 2n+5 = 99

6n+9 = 99

6n = 90

n = 15

Our first odd integer is 2n+1 = 2(15) + 1 = 31

Our 3 consecutive odd integers are 31, 33, 35

Check: 31 +33+45 = 99 Yes

3)Which equation defines three consecutive odd integers that add up to 81?

A) n(n+1)(n+2)=81

B) n(n+2)(n+4)=81

C) n+(n+1)+(n+3)=81

D) n+(n+1)+(n+2)=81

E) n+(n+2)+(n+4)=81

We can immediately discard answers A, B because they are multiplying

instead of adding.

That leaves C, D, E

This question does not follow the logic I utilized in question 1 and 2.

Assuming the first number is indeed odd and is called n

The next odd number is n+2 followed by n+4

Thus we must have: n + (n+2) + (n+4) = 81

The answer is E

By the way: The numbers are 25, 27, 29

5 0

3 years ago

Read 2 more answers

What are the solutions of the quadratic equation?<br> 5x^2+51x+54 = 0

pentagon [3]

X = - 6/5 or x=-9 !!!!!!!!!!!!!

7 0

3 years ago