Answer:

Step-by-step explanation:
To evaluate
from the following expression:

Taking 


∴ 
Answer: we can get the sequence of reasons with help of below explanation.
Step-by-step explanation:
Here It is given that, line segment BD is the perpendicular bisector of line segment AC. ( shown in below diagram)
By joining points B with A and B with C ( Construction)
We get two triangles ABD and CBD.
We have to prove that : Δ ABD ≅ Δ CBD
Statement Reason
1. AD ≅ DC 1. By the property of segment bisector
2. ∠BDA ≅ ∠ BDC 2. Right angles
3. BD ≅ BD 3. Reflexive
4. Δ ABD ≅ Δ CBD 4. By SAS postulate of congruence
Answer:
answer is : Cos(13pi/8) = 0.3826
Step-by-step explanation:
We have, Cos (13pi/8)
Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi
Hence 13pi/8 lies on fourth quadrant.
In fourth quadrant cosine will be positive.
Cos (13pi/8) = cos(3pi/2 + pi/8)
applying formula cos(A+B) = cos A cosB - sinAsinB
i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)
∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1
Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)
Cos(3pi/2 + pi/8) = 0 + 0.3826
Cos(3pi/2 + pi/8) = 0.3826
Hence we got Cos(13pi/8) = 0.3826
Answer:
1/24 chance
Step-by-step explanation:
To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.
After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.
Answer:
-17
Step-by-step explanation:
- 5 * (6 + 4) ÷ 2
Following PEMDAS, we must focus on the parenthesis first.
- 5 * (6 + 4) ÷ 2
- 5 * (10) ÷ 2
Now we will focus on the exponent:
- 5 * 10 ÷ 2
8 - 5 * 10 ÷ 2
Now Multiplication/Division.
This is where you must follow the order in the equation where you see the multiplication sign first, so you multiply first.
8 - 5 * 10 ÷ 2
8 - 50 ÷ 2
Next, Divide:
8 - 50 ÷ 2
8 - 25
Subtract:
8 - 25
-17
- 5 * (6 + 4) ÷ 2 = -17.