Answer:
B. 73°
Step-by-step explanation:
<em>m</em><em>L</em><em> </em>HLK = ½ × <em>mL</em><em> </em>HJK = ½×146=73°
Answer:
Scale factor = ½
Step-by-step explanation:
The original image is the preimage = ∆ACB
The new image is the image = ∆DFE
The scale of factor of dilation = image/preimage = DF/AC
DF = 6 cm (given)
AC = 12 cm (given)
Plug in the values into the equation to find the scale factor of dilation:
Scale factor = 6/12
Scale factor = ½
C. 1/root2
Based on the information, the hypotenuse will be 6root2 because it is a 45, 45, 90 triangle. The two legs will be 6. Using SOH CAH TOA, we know that for cosine, it will be adjacent/hypotenuse. The adjacent side is 6 and the hypotenuse is 6root2. The result will be (6)/(6root2). After simplifying, we get
1/root2.
Step 1:
Let x equal the repeating decimal you are trying to convert to a fraction
Step 2:
Examine the repeating decimal to find the repeating digit(s)
Step 3:
Place the repeating digit(s) to the left of the decimal point
Step 4:
Place the repeating digit(s) to the right of the decimal point
5) Subtract the left sides of the two equations.Then, subtract the right sides of the two equations<span>
</span>
Answer:
P( top two horses are predicted incorrectly in incorrect order)
= 
Step-by-step explanation:
In the horse race the outcome can be predicted in 5! = 120 ways.
Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the top horse can be predicted incorrectly in 4 ways.
Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5
so the second horse can be predicted to be in place from 1 to (k - 1)
So, the top two horses can be predicted incorrectly in incorrect order
in 
= 10 ways
and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.
Hence ,
P( top two horses are predicted incorrectly in incorrect order)
= 
=
