Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:

Now let us solve for x.


Now let us substitute
in 7x (amount of money that Egil gets).

Upon cancelling out 7 from numerator and denominator we will get,
Therefore, Egil will get $80.
Answer:
Find the answers below
Step-by-step explanation:
Using m<X as the reference angle
Opposite YZ = 7
Adjacent XY = 10
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinX = opp/hyp
sinX =YZ/XZ
sinX = 7/√149
For cos X
cos X = adj/hyp
cos X =10/√149
Using m<Z as reference angle;
Opposite XY = 10
Adjacent YZ = 7
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinZ = opp/hyp
sinZ =10/√149
sinZ = 7/√149
For cos Z
cosZ = 7/√149
Angle MON is a straight angle and OP -> bisects <MOQ
What is the measure of <MOP?
it would be 61 degrees
I hope this helps.
Answer:
The letter "i" is used to signify that a number is an imaginary number.
Step-by-step explanation:
An imaginary number is one that gives a negative result when squared. This differs from when you square real numbers where you always get a positive result. For example:
i = √-1
Imaginary numbers can be especially useful when trying to find the square root of a real negative number such as -16. Normally we cannot find the square root of -16 but through the use of imaginary numbers we can:
√-16 = 4i
~Hope this helps!~
Answer:
c. 20
Step-by-step explanation:
Calculation to determine Which of the following is the resulting MAD value that can be computed from this data
Using this formula
MAD= [ABS( Year 1 actual unit demand - Forecast) + ABS (Year 2 actual unit demand - Forecast) + ABS (Year 3 actual unit demand - Forecast) + ABS (Year 4 actual unit demand - Forecast)]/ Number of years
Let plug in the formula
MAD = [ABS(100 - 120) + ABS (105 - 120) + ABS (135 - 120) + ABS (150 - 120)]/4
MAD =(ABS 20) + (ABS 15) + (ABS 15) + (ABS 30)/4
MAD= 80/4
MAD=20
Therefore the resulting MAD value that can be computed from this data is 20