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SVETLANKA909090 [29]

2 years ago

9

Jace is a high school basketball player. In a particular game, he made some free

2 answers:

Tanya [424]2 years ago

5 0

Answer:

3 Point shots and 6 Free throws i believe

Step-by-step explanation:

Svetradugi [14.3K]2 years ago

4 0

Jace made 3 three pointers and 6 free throws.

3(3) + 6(1) = 15

Free throws = f
Three pointers = t

t(2) = f
t + f = 15

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Triangle ABC has side lengths a= 24, b= 40, and c= 55. What is the measure of angle C? 83.6° 116.2° 23.0° 40.7°

Harlamova29_29 [7]

<h3>Answer: 116.2°</h3>

Work Shown:

$c^2 = a^2 + b^2 - 2ab\cos(C)\\\\55^2 = 24^2 + 40^2 - 2*24*40\cos(C)\\\\3025 = 576 + 1600 - 1920\cos(C)\\\\3025 = 2176 - 1920\cos(C)\\\\3025 - 2176 = -1920\cos(C)\\\\849 = -1920\cos(C)\\\\-1920\cos(C) = 849\\\\\cos(C) = (849)/(-1920)\\\\\cos(C) \approx -0.4421875\\\\C \approx \cos^{-1}(-0.4421875)\\\\C \approx 116.243535748231^{\circ}\\\\C \approx 116.2^{\circ}\\\\$

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nexus9112 [7]

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Step-by-step explanation:

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3 years ago

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Sphinxa [80]

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Find the arc length of AB. Round your answer to the nearest hundredth.

Fantom [35]

The arc length of AB is 8 m (app.)

Explanation:

Given that the radius of the circle is 8 m.

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We need to determine the arc length of AB

The arc length of AB can be determined using the formula,

$arc \ length=\frac{central \ angle}{360^{\circ}} \times circumference$

Substituting central angle = 60° and circumference = 2πr in the above formula, we get,

$arc \ length=\frac{60^{\circ}}{360^{\circ}} \times 2 \pi(8)$

Simplifying the terms, we get,

$arc \ length=\frac{8 \pi }{3}$

Dividing, we get,

$arc \ length=8.37758041$

$arc \ length=8(app.)$

Hence, the arc length is approximately equal to 8.

Therefore, the arc length of AB is 8 m

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3 years ago