GHLJ and GSTU are both parallelograms. Why is ∠L ≅ ∠T?2

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:

With the addition of a child, both the family's income and expenses increase. Although the initial expenses might be higher, the financial benefits will manifest over time.

X - 9 + 2wx = y Add 9 to both sides of the equation to isolate terms. Next, you get x + 2wx = y + 9. After that, factor out x to obtain x (1 + 2w) = y + 9. Lastly, divide every term by (1 + 2w) yielding x = (y + 9) / (1 + 2w).

Answer:

60

Step-by-step explanation:

The function provided is:

The average rate of change of h(t) as time goes from t=a to t=b is expressed as:

This function can be reformulated as:

The rocket's peak height is 231, which occurs at t=3.75 seconds.

The initial launch happens at: t=0

and

The average rate of change from launch to max height is

Answer:

- 1675.38

Step-by-step explanation:

In 2017, the kitchen equipment's value was recorded at $14,550.

V(0)=$14550

Its following value is represented by .

We need to ascertain the rate of value change as of January 1, 2019.

As of 2019, which is 2 years later, we set t=2.

The rate of value change is

== -1675.38