2/3 divided by 4= 2/3x1/4 (flip 4 around). 2x1=2 & 3x4=12. 2/12 or 1/6
Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
The amount I would receive for the bond when I sell it at the yield to maturity is $810.41.
<h3>How much would I receive for the bond?</h3>
In order to determine the amount I would receive for the bond, the present value of the bond has to be determined. Present value is the discounted cash flow.
Present value = $10000 / (1.0619)^3.5 = $810.41
To learn more about present value, please check: brainly.com/question/26537392
Answer:
480 feet.
Step-by-step explanation:
We are told that the function
models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.
To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.
Upon substituting t=0 in our function we will get,



Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.
Answer:Let's solve your equation step-by-step.
1
4
(2x+8)=−16
Step 1: Simplify both sides of the equation.
1
4
(2x+8)=−16
(
1
4
)(2x)+(
1
4
)(8)=−16(Distribute)
1
2
x+2=−16
Step 2: Subtract 2 from both sides.
1
2
x+2−2=−16−2
1
2
x=−18
Step 3: Multiply both sides by 2.
2*(
1
2
x)=(2)*(−18)
x=−36