Answer:
A = 6
Step-by-step explanation:
4(3A - 4) = 56 (Distribute/multiply the 4 to everything inside the parentheses)
12A - 16 = 56 (Add 16 to both sides to get A on one side)
12A = 72 (Divide both sides by 12 to get A by itself)
A = 6
Answer:
26%
Step-by-step explanation:
Answer: 1.3 seconds
Step-by-step explanation:
Given: Distance of the moon to the Earth = 384,400 km = 384400 x 1000 meters = 384400000 meters. [1 km = 1000 m]
Speed of light = m/s = 299800000 m/s
Formula:
Let <em>t</em> be the time taken by the light to travel from the moon to the Earth.
Hence, it will take approximately 1.3 seconds for the light to travel from the moon to the Earth.
Answer:
21/3-(-101/6)
Final result :
143
——— = 23.83333
6
Step by step solution :
Step 1 :
101
Simplify ———
6
Equation at the end of step 1 :
21 101
—— - (0 - ———)
3 6
Step 2 :
7
Simplify —
1
Equation at the end of step 2 :
-101
7 - ————
6
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 6 as the denominator :
7 7 • 6
7 = — = —————
1 6
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7 • 6 - (-101) 143
—————————————— = ———
6
6 6
Final result :
143
——— = 23.83333
6
9514 1404 393
Answer:
B. The lengths of two of the triangle's sides and the measure of the angle between them
Step-by-step explanation:
The usual formulation of the law of cosines is something like this:
c² = a² +b² -2ab·cos(C)
where 'c' is the side opposite angle C, and 'a' and 'b' are the other two sides. That is, to use this formula directly, one needs two side lengths and the measure of the included angle.
_____
<em>Additional comment</em>
One can use the law of cosines to solve a triangle when any two sides and one angle are known. The use of the formula will give a quadratic in the unknown side length, if it is not the side opposite the known angle. As with the law of sines, if the angle is opposite the shorter of the two given sides, there may be two solutions for the length of the third side.