Cos( 30 ) = 19√3 / x
√3 / 2 = 19√3 / x
Simplify √3 from both sides
1 / 2 = 19 / x
Multiply both sides by x
1 /2 × x = 19 / x × x
x / 2 = 19
Multiply both sides by 2
x / 2 × 2 = 19 × 2
x = 38
_____________________________
Sin( 30 ) = y / x
1 / 2 = y / 38
Multiply both sides by 38
38 × 1 / 2 = 38 × y / 38
38 / 2 = y
19 = y
y = 19
Solve the inequality 1.6-(3-2y)<5.
1. Rewrite this inequality without brackets:
1.6-3+2y<5.
2. Separate terms with y and without y in different sides of inequality:
2y<5-1.6+3,
2y<6.4.
3. Divide this inequality by 2:
y<3.2
4. The greatest integer that satisfies this inequality is 3.
Answer: 3.
Backing out the bonus, we get 2711 - 250 = 2461, which is 161 more than his last check
<span>So 161 / 2300 = 0.07, or 7%</span>
Answer:
Any points in the shaded region including (2,-2) and (-3,-8)
Step-by-step explanation:
Convert the line into slope intercept form and graph it.
2x-y > 1 becomes -y>1-2x. Divide both sides by -1 and you get y<2x-1. Graph it with the shaded area on the right and a dashed line.
Any point which falls within the shaded red of the graph is a solution. No points on the line since it is not equal to (its dashed) are solutions. Check the location of your points to verify that they fall within this area.
(-3, -8) ---Yes
(-1, -3) ---No
(0, 5) --- No
(1, 6) --- No
(2, -2) ---Yes