Determine whether each triangle should be solved by beginning with the law of sines or the law of cosines. then solve each triangle. round measures of sides and angles to the nearest tenth after calculating. a = 8, b = 7, c = 4 question 3 options: law of cosines; a ≈ 89°, b ≈ 61°, c ≈ 30° law of sines; a ≈ 89°, b ≈ 61°, c ≈ 30° law of sines; a ≈ 30°, b ≈ 61°, c ≈ 89° law of cosines; a ≈ 61°, b ≈ 89°, c ≈ 30°

Law of Cosines; A ≈ 61°, B ≈ 89°, C ≈ 30°

Step-by-step explanation:

In this problem the given values are the length sides of the triangle, therefore, the triangle should be solved by beginning with the Law of Cosines

step 1

Applying the law of cosines find the value of angle C

we know that

we have

substitute the values and solve for cos(C)

step 2

Applying the law of cosines find the value of angle B

we know that

we have

substitute the values and solve for cos(B)

step 3

Find the measure of angle A

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

we have

substitute and solve for A

answer: ouch. thats difficult

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is