Answer:
a
Step-by-step explanation:
6ft = 72 inches
72 + 10 = 82 inches
The ratio is that of one term to the one before:
... 12/6 = 2
It is "common" because it applies to every pair of adjacent terms:
... 24/12 = 48/24 = 96/48 = 2
The appropriate choice is ...
... B 2
Answer:
D.) 38.6 m
Step-by-step explanation:
Use the cosine ratio:
Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:
Now isolate the variable. Multiply both sides by x:
The x's on the right side cancel each other out. Simplify:
Now divide both sides by cos75°:
The cos75° on the left side cancels each other. Simplify:
Insert this value into a calculator to simplify the value of x:
The hypotenuse is 38.6 m.
:Done
Answer:
Jake is 9, and Jake's dad is 43.
Step-by-step explanation:
Ok, let's start off by putting a variable for Jack's age, A.
We know that Jack's father is 2 less than 5 times, so we can write his as 5x -2.
Now let's make an equation:
52 = x + 5x - 2
We need to isolate the x-values so we need to add 2 on both sides:
54= x + 5x
No we need to add the like terms:
54 = 6x
Finally, we just divide by 6 on each side.
Now we know X = 9 but we're not done yet :)
So because Jake's dad is almost 5 times as much, we first multiply Jack's age by 5. We get 45 but we need to subtract 2 which leaves us with 43.
Supposing the sides with 6 and 8 is a right angle, you can create a new line from C and P, and find the length using the equation of a²+b²=c² or 6²+8²=c², with c equaling the radius of the circle.
After finding c, you will have to find the length from C to the midpoint of AC, using the same equation a²+b²=c². If both the lengths of C to the midpoint of AC, and A to the midpoint of AC are equal, you can do b+b to find the length of AC.
Using the same approach, you can find AB. Hope this makes sense, if not, I can clarify more.
