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: 37) 170
Step-by-step explanation:
85 - (-85) = 85 + 85 = 170

Answer:
Step-by-step explanation:
Formula for the volume of a sphere is V = (4/3) (π) r³
3V 4²
and so the cube of the radius, "r," is r³ = ------------- * -----
4 4²
Taking the cube root of both sides, we get
∛[3V / 4²] 3V
and so the radius, "r," is r = ------------------ = ∛ ( --------- ) = (1/4)*∛(3*v)
∛[4³] 4³
Then
r = (1/4)*∛(3*V), after substituting 500/(3π) for V, becomes:
r = (1/4)*∛[ 3*500/3π ] = (1/4)*∛[ 500/π ]
Answer:
Getting a multiple of 5 is the least likely outcome.
Step-by-step explanation:
We spin a spinner that has 8 equal-sized sections numbered 1 - 8.
We have to find which is the least likely to occur.
The number is even when outcomes are 2,4,6 or 8.
Number of outcomes = 4
If the number is less than 3, the number of possible outcomes are 2 that is 1 and 2.
If the number is greater than 3 , number of possible outcomes is 5 which are 4,5,6,7 and 8.
If the number is a multiple of 5, only 1 outcome is there which is 5 itself.
Hence getting a multiple of 5 is the least likely outcome.
Answer:

Step-by-step explanation:
