Answer:
AB = 34 and AC = 16
BC^2 = 34^2 - 16^2
BC^2 = 1,156 - 256
BC^2 = 900
BC = 30
Step-by-step explanation:
C² = a² + b² - (2ab * cosC)
<span>c² = 10² + 23² - (2 * 10 * 23 * cos95) </span>
<span>c² = 100 + 529 - (460 * -.08715) </span>
<span>c² = 629 - (-40.1) </span>
<span>c² = 669.1 </span>
<span>c = 25.87 </span>
<span>(Sin C) / C = (Sin A) / A </span>
<span>(Sin 95) / 25.87 = SinA / 10, Remember 0 < A < 85 </span>
<span>(10 * Sin95) / 25.87 = Sin A </span>
<span>A = arcsin ((10 * sin95) / 25.87) </span>
<span>A = 22.65º </span>
<span>B = 180 - A - C </span>
<span>B = 180 - 95 - 22.65 </span>
<span>B = 62.35º </span>
<span>I hope this helps. Have a good day.</span>
Answer:
25 times
Explanation:
Blue Marvels: 3
Red Marvels: 5
Total Marvels: 5 + 3 = 8 marvels
Probability: favorable outcomes/total outcomes
Probability - red marble = 5/8
After Doing 40 times:
= 5/8 × 40
= 25
Answer:
x = 3
Step-by-step explanation:
8x -6 = 18
Add 6 to both sides.
8x = 24
Divide both sides by 8 to isolate x.
x = 3
