Answer: Option d.
Step-by-step explanation:
The trigonometric identity needed is:

Knowing that
:
Substitute it into
:

Simplify the expression:

Solve for
. Apply square root at both sides of the expression:


Answer:
Jessiah has 14 pencils
Miles has 28 pencils
Grace has 8 pencils
Step-by-step explanation:
I'm going to assume that you mean Jessaih instead of Jessia because otherwise it would be impossible to solve
Let the # of Jessaih's pencils equal j, # of Grace's pencils equal g, # of Miles' pencils equal m,
j=g+6
m=2j
So m=2(g+6) or 2g+12
Therefore, g+g+6+2g+12, or 4g+18=50, so g = 8
j=8+6, which is 14
m = 2(14), which is 28
Answer:
See below in bold.
Step-by-step explanation:
You work in fractions of the city streets done per hour:
1/200 + 1/400 = 1 /x where x is the number of hours taken by 2 teams.
Multiply through by the LCM 400x:
2x + x = 400
3x = 400
x = 133.33 hours.
As there are 168 hours in a week they will have enough time.
Answer:
Step-by-step explanation:
Answer:
2x + 1y =< 300
x + y =>150 units
y <= 2x
Step-by-step explanation:
Let x and y be the numbers of corndogs and shakes that will be sold.
<u>1.</u> The total cost of making these items is given by the sum of:
(x)(RM2) + (y)(RM1)
A total of RM300 is allocated for the cost of these items, so:
2x + 1y =< 300 [Units are RM)
<u>2.</u> Sales are expected to exceed 150 units, in total. This means:
x + y =>150 units
<u>3.</u> Sales for the shakes is less than 2 times that of the corndogs:
y <= 2x