Two student are reading a book. Keith reads 6 pages a day.tameka read 5 pages a day but he start sooner and has already read 15

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

Result:

20.19°

Detailed explanation:

Refer to the attached diagram related to the question. We need to determine <CAB

Utilizing the sine rule on triangle ABC:

cross-multiply

Thus, the angle <CAB measures 20.19°

Answer:

To find the number of genuine solutions for a system of equations consisting of a linear equation and a quadratic equation

1) With two variables, say x and y, rearrange the linear equation to express y, then substitute this y in the quadratic equation

After that, simplify the resulting equation and determine the number of real roots utilizing the quadratic formula, for equations of the type 0 = a·x² - b·x + c.

When b² exceeds 4·a·c, two real solutions emerge; if b² equals 4·a·c, there will be a single solution.

Step-by-step explanation:

Answer:

An eight-digit grid coordinate allows for precision within 10 meters.

Step-by-step explanation:

Grid coordinates are designed to direct accurately to a specific location by using a map that includes equally spaced vertical and horizontal lines, each assigned numbers to outline a place. The intersection of these vertical and horizontal lines has unique identifiers and creates small sections called grid squares.

The precision increases with the number of digits in the coordinate; an eight-digit designation gives accuracy to the nearest 10 meters.

Answer: (3y - 5) • (2y - 3)

Step-by-step explanation: 6y2 - 10y - 9y - 15

2.1 Factoring 6y2-19y+15

The leading term is 6y2, with a coefficient of 6.

The middle term is -19y, having a coefficient of -19.

The last term is the constant, which is +15.