NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹
Answer:
Negative
Step-by-step explanation:
It would be -1.3. Because you know? You add?
<u>Answer</u>
-5/3, -1, 0.7, √2, √5
<u>Explanation</u>
√5 = 2.236
-1 ⇒ this is less than 1.
-5/3 = -1.666667 this is less than 1. -5/3 < -1
0.7 > -1
√2 = 1.414 ⇒ √5 > √2
Arranging them from the least to the greatest;
-5/3, -1, 0.7, √2, √5
Answer:
0.
Step-by-step explanation:
Using the laws of logarithms:
log81/8 + 2log2/3 - 3log 3/2 + log 3/4
= log 81/8 + log (2/3)^2 - log (3/2)^3 + log 3/4
= log 81/8 + log 4/9 - log 27/8 + log 3/4
= log 81/8 + log 4/9 - (log 27/8 - log 3/4)
= log (81/8 * 4/9) - log (27/8 * 4/3)
= log 9/2 - log 9/2
= 0.
Answer:
Sticks of butter : 2
Number of cookies : 40
Step-by-step explanation:
<em>Given that :You need 3 sticks of butter for every 24 giant cookies you bake.</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Sticks of butter Number of cookies</em>
<em> 3 24</em>
<em> x 16</em>
<em>5 y</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Let the unknown be x and y..</em>
<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>
<em>Then 24/3 = 8</em>
<em>Since the number of cookies is 16 then 16/8 = 2</em>
<em>Thus x = 2</em>
<em>Next for y.</em>
<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>
<em>Then 5 * 8 = 40</em>
<em>Thus, y = 40</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Completed table below:</em>
<em>Sticks of butter Number of cookies</em>
<em> 3 24</em>
2 <em> 16</em>
<em>5 </em><em>40</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<u><em>~lenvy~</em></u>
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