<span> By definition, the volume of a cone is given by:
</span>
<span> Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
</span>
<span> Where,
d: diameter of the circular base.
Substituting values we have:
</span>
<span>
Then, the volume will be:
</span>
<span>
Answer:
The volume of the cone is given by:
</span>
<span>
</span>
Using the law of cosines and sines, the measure of angle B is: 38.4°.
<h3>What is the Law of Cosines and Sines?</h3>
Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]
Law of sines is: sin A/a = sin B/b = sin C/c
Use the law of cosines to find c:
c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]
c ≈ 25.8
Use the law of sines to find angle B:
sin B/b = sin C/c
sin B/18 = sin 117/25.8
sin B = (sin 117 × 18)/25.8
sin B = 0.6216
B = sin^(-1)(0.6216)
B = 38.4°
Learn more about the law of cosines on:
brainly.com/question/23720007
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The answer is C. Once you add the like terms x^2 and 4x^2 you get your answer.
Answer:
840 soles
Step-by-step explanation:
Sea la cantidad de dinero que Mateo tenía al principio = x
Mateo compró un artefacto gastando 3/7 de su dinero, dejándole 360 soles,
Por eso,
3/7 × x = 360 soles
3x / 7 = 360 soles
Multiplicar cruzada
3x = 7 × 360 soles
x = 7 × 360 soles / 3
x = 840 soles
Por tanto, el dinero que tenía Mateo al principio es de 840 soles
Folded mountain with waves, twists, and turns. I believe because the article stated it was gradual and various patterns were formed.
