Answer:
9sqrt2.
Step-by-step explanation:
sqrt8 + 3sqrt2 + sqrt32
= sqrt4 * sqrt2 + 3 sqrt2 + sqrt16 * sqrt2
= 2sqrt2 + 3sqrt2 + 4 sqrt2
= 9 sqrt2.
Answer:
B. 0.54
Step-by-step explanation:
Answer:
14. -21 over 5, 1 over 4
Step-by-step explanation:
PQ: perform the slope formula: y2-y1 divided by x2-x1
-3 - 17 divided by 1 - (-4) = -21 divided by 5
RS: 4 - 3 divided by -5 - (-9) = 1 divided by 4
Answer:
sin (x) ≥ 0, between 0° and 180° or 0 and π,
sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6
Step-by-step explanation:
This is how I would do it. Subtract sin(x) from both sides
2 - sin(x) ≥ 0 , then factor out sin(x)
sin(x) [2 sin(x) - 1] ≥0, then set each factor ≥ 0
sin(x) ≥ 0 and 2 sin(x) - 1 ≥ 0
sin (x) ≥ 0, between 0° and 180° or 0 and π
2 sin(x) ≥ 1
sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6
145 pages because 145 would round up to 150 but anything below 145 would round to 140