Answer:
To multiply square roots, first multiply the radicands, or the numbers underneath the radical sign. If there are any coefficients in front of the radical sign, multiply them together as well. Finally, if the new radicand can be divided out by a perfect square, factor out this perfect square and simplify it.
Step-by-step explanation:
Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation:
Answer:
adding by 5
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given that:
Batting average = 0.25 after 160 times at bat;
Batting Average = Number of hits / number of times at bat
0.25 = number of hits / 160
Number of hits = 0.25 * 160 = 40
He want batting average to improve to 0.333 ; if he makes hit the next x times at bat ; number of hits is needed to improve batting average
Hence,
New average = number of hits / number of times at bat
0.333 = (number of hits + x) / (160 + x)
0.333 = (40 + x) / (160 + x)
