Answer:
Step-by-step explanation:
Area for triangle A is 12 Triangle B is 12 triangle C is 12
The area is related to the base and it's corresponding height because they all equal each other. The triangle has added on parts and it shows they are all equal but are in a different direction.
The area of the shaded triangle is 18 because the base is 6 and the height is 6.
A, B, E
I hope this helps.
Answer:
Step-by-step explanation:
Use the half angle identity for cosine:
cos(x/2)=+ or - sqrt(1+cos(x))/sqrt(2)
I'm going to figure out the sign part first for cos(x/2)...
so x is in third quadrant which puts x between 180 and 270
if we half x, x/2 this puts us between 90 and 135 (that's the second quadrant)
cosine is negative in the second quadrant
so we know that
cos(x/2)=-sqrt(1+cos(x))/sqrt(2)
Now we need cos(x)... since we are in the third quadrant cos(x) is negative...
If you draw a reference triangle sin(x)=3/5 you should see that cos(x)=4/5 ... but again cos(x)=-4/5 since we are in the third quadrant.
So let's plug it in:
cos(x/2)=-sqrt(1+4/5)/sqrt(2)
No one likes compound fractions (mini-fractions inside bigger fractions)
Multiply top and bottom inside the square roots by 5.
cos(x/2)=-sqrt(5+4)/sqrt(10)
cos(x/2)=-sqrt(9)/sqrt(10)
cos(x/2)=-3/sqrt(10)
Rationalize the denominator
cos(x/2)=-3sqrt(10)/10
Answer: 5.0
Step-by-step explanation:
Answer:
Add a photo
Step-by-step explanation:
Answer:
b) ? = 0
c) ? = 10
Step-by-step explanation:
By observing the equations, we notice a pattern. The resulting number is always equal to one number doubled added to the other number. Therefore, set up two equations as follows:
2(7)+y=14
2x+3=23
Assume that the provided number is the doubled number if it is a perfect factor, with 2, and assume the provided number is not the provided number if the difference between the answer and it is an even number.
Solve:
14+y=14
y=0
2x+3=23
2x=20
x=10
