Answer:
Since it is an equilateral triangle, all sides are 10cm
Step-by-step explanation:
Answer:
When heated calcium carbonate forms calcium oxide and carbon dioxide.
The answer is C, mWXY + mYXZ = 180 degrees. This is true because if you look at the diagram, angle WXY and angle YXZ are supplementary angles, meaning that they equal 180 degrees.
Answer:
<h2>1. {x | 1 < x < 3}</h2>
Step-by-step explanation:
x + 2 < 5 <em>subtract 2 from both sides</em>
x + 2 - 2 < 5 - 2
x < 3
x - 7 > -6 <em>add 7 to both sides</em>
x > 1
From x < 3 and x > 1 we have 1 < x < 3
The angles and lengths of each of the given triangles are;
5) m∠B = 57.52°
6) B = 70.81°
7) AB = 55.43 Km
8) AC = 39.06 ft
<h3>How to use cosine rule?</h3>
The cosine rule is expressed as;
c = √[a² + b² - 2ab(cos C)]
5) Using cosine rule;
BC = √[21² + 13² - 2(21*13)(cos 91)]
BC = 24.89
Using sine rule, we can find angle B as;
21/sin m∠B = 24.89/sin 91
sin m∠B = (21 * sin 91)/24.89
sin m∠B = 0.8436
m∠B = sin⁻¹0.8436
m∠B = 57.52°
6) Using cosine rule;
14² = 11² + 13² - 2(11*13)(cos B)]
196 = 121 + 169 - 286(cos B)
cos B = (121 + 169 - 196)/286
cos B = 0.3287
B = cos⁻¹0.3287
B = 70.81°
7) Using cosine rule;
AB = √[24² + 36² - 2(24*36)(cos 134)]
AB = 55.43 Km
8) Using cosine rule;
AC = √[21² + 26² - 2(21*26)(cos 112)]
AC = 39.06 ft
Read more about cosine rule at; brainly.com/question/4372174
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