B. The quotient of y and the sum of z and 4
Answer:
v =7
Step-by-step explanation:
Simplifying
v + -10 = -3
Reorder the terms:
-10 + v = -3
Solving
-10 + v = -3
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + v = -3 + 10
Combine like terms: -10 + 10 = 0
0 + v = -3 + 10
v = -3 + 10
Combine like terms: -3 + 10 = 7
v = 7
Simplifying
v = 7
Answer:
Apply the sine theorem in triangle ABC:
sin C = AB/AC = 4/5
=> C = arcsin(4/5) = 53.13 deg
As shown in picture, AB//CD. Using the same side interior angles theorem:
=> angle BCD = angle ABC = 90 deg
=> angle ACD = 90 - angle ACB = 90 - C = 90 - 53.13 = 36.87 deg
Apply the cosine theorem in triangle ACD:
cos C = AC/CD
=> CD = AC/cos C = 5/cos(36.87) = 5/0.8 = 6.25
=> Option C is correct
Hope this helps!
:)
The answer to the sunset question is 16 F.
Work Example:
With the number -2, you can order the work simple like these examples over here.
18 + (-2) = 16.
The problem is usually written like this, and here is a little trick. When a positive number is added to a negative number, instead of adding itself, it subtracts the positive form of the negative number with 18, which is our positive number.
18 - 2 = 16.
If you place the -2 as the second number in the equation, the negative works nicely and looks like a minus sign. Or, you can do it in a different way.