Answer:
C
Step-by-step explanation:
To make it easy let's start by organizing our information :
- AC=12 AND BD=8
- ABCD is a rhombus
- K and L are the midpoints of sides AD and CD
- we notice that the rhombus ABCD is divided into four right triangles
What do you think of when you hear a right triangle ?
- The pythagorian theorem !
AC and BD are khown so let's focus on them .
If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?
Simply because they are the diagonals of a rhombus .
ow let's apply the pythagorian theorem :
- (AC/2)² + (BD/2)² = BC²
- 6²+4²=52
- BC²= 52⇒
=BC
Now we khow that : AB=BC=CD=AD=
This isn't enough . Let's try to figure out a way to calculate the length of KL wich is the base of the triangle
- KL is parallel to AC
- k is the midpoint of AD and L of DC
I smell something . yes! Thales theorem
- KL/AC=DL/DC=DK/AD WE4LL TAKE OLY ONE
- KL/12=/2*
- KL/12=1/2⇒ KL=6
Now we have the length of the base kl
Now the big boss the height :
- notice that you khow the length of KL
- BD crosses kl from its midpoint and DL = /2
What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D
- DL²=(KL/2)²+D²
- 52/4= 9+ D²
- D² = 52/4-9 +4 SO D=2
now the height of the trigle is H= BD-D= 8-2=6
NOw the area of the triangle is :
- A=(KL*H)/2 ⇒ A= (6*6)/2=18
THE ANSWER IS 18 SQ.UN
Answer:
34 Braids
Step-by-step explanation:
.85 per braid means 1 is 85 cents, 2 is $1.70 and so on. So normally you would just divide the total amount of money, so for instance if you had $2.55 you would be able to afford 3 braids, since 3 braids cost $2.55. in fact $2.56, $2.57 aaaaaaaaaaall the way up to $3.39 would be 3 braids, then $3.40 would be 4 braids.
Here though you first pay 3 dollars. so you need 3 first, then an extra 85 cents to get 1 braid. 2 braids is 3 dollars plus 1.70, 3 braids is 3 + 2.55 4 braids is 3 + 3.40 and so on.
So what you want to do is first take away that 3 dollars you need before the braids, then divide by .85. for instance $6.40 would get you 4 braids as I showed bcause 3 + 3.40 = 6.40. now 6.40 - 3 = 3.40 then 3.40 divided by .85 = 4
The problem says we start with$32, so lets do those steps. first 32 - 3 = 29. then 29 divided by .85 = 34.11. well it's not whole number so lets try something. 34 braids would be 3 + .85*34 = 31.90 and 35 braids would be 32.75 So 31.90, 31.91 aaaaaaaaall the way up to 32.74 would be 34 braids then 32.75 would be 35 braids. well, $32 is in that in between space, so it is 34 braids.
When I did 32 - 3 = 29. then 29 divided by .85 = 34.11 that 34.11 does actually tell us we wouldn't get to 35, I just wanted to make it very clear. so the answer is 34 braids.
Answer: 1/2
Step-by-step explanation:
1) Put the equation into y=kx form
- add 4x to both sides
- divide by 8 on both sides to get y=1/2x
2) k is the constant of proportionality
Answer:
2000000
Step-by-step explanation:
:)
