Since 3:00 a.m is three hours after midnight, the variable h in the function would be three.
T(h) = -15 + 3h step 1 - write the equation
T(3) = -15 + 3(3) step 2 - plug in h, which is three
T(3) = -15 + 9 step 3 - simplify the expression
T(3) = -6
This triangle is separated into two right triangles
if AB=BD(given) so the hypotenuses are congruent
one of the sides is same between the right triangles (BC)
so according to HL theorem, if the hypotenuses and one of the sides (except hypotenuse) between two or more right triangles are congruent to each other
the triangles are congruent
hope you understand it
good luck
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Since we know the length of one side, and it's a square, we simply multiply 10 by 10 to get 100. The final answer is 100 square feet.
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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