Stackable polystyrene cups have a height h1=12.5 cm. Two stacked cups have a height of h2=14 cm. Three stacked cups have a heigh

Answer:

$24166.67

Step-by-step explanation:

Norma Jean earns $25 hourly and works 35 hours per week.

Her earnings without commission total 35 * 25 = $875

Total commission earned by Norma = 4500 - 875 = $3625

Let the total sales made by Norma be x

15% can be expressed as 15/100

Thus, (15/100) * x = 3625 Multiplying both sides by 100

15x = 362500 Rearranging for x

x = 362500/15

x = 24 166.67

Norma should achieve total sales amounting to $24166.67

Answer:

x=2c/3+1

Step-by-step explanation:

First, subtract 2c from both sides.

−3x=−3−2c

The equation has been transformed into standard form.

−3x=−2c−3

Next, divide both sides by −3.

-3x/-3=-2c-3/-3

Dividing by −3 negates the multiplication by −3.

x=-2c-3/-3

Finally, divide −3−2c by −3.

x=2c/3+1

We can summarize that

By applying the law of cosines: 

c² = a² + b² - 2abcos(C) 

where: 

a,b, and c represent the triangle's sides and C denotes the angle opposing side c.

Let us assign:

a=170 miles

b=200 miles

c=160 miles

Thus, we establish: 

160² = 170² + 200² - 2(170)(200)cos(C).

We now aim to solve for C.

25,600 = 28,900 + 40,000 - 68,000cos(C).

25,600 - 28,900 - 40,000 = -68,000cos(C).

-43,300=-68,000cos(C).

Thus, cos(C)=0.6367.

C=arc cos(0.6367)--------> C=50.45°.

Consequently, the captain should adjust toward island B by

180 - 50.45 = 129.55 degrees.

The final answer is

129.55 degrees

Answer:

5 miles in total

Step-by-step explanation:

Given:

Time spent driving = 10 min = 10 / 60 = 1/6 hour

Duration of stop = 5 min

Driving speed = 30 miles per hour

Find:

Complete distance

Computation:

Distance traveled = Speed × time

Distance = 30 × (1/6)

Total distance = 5 miles