A = 1/2 * b * h
A = 178.5
b = h + 4
178.5 = 1/2 * (h + 4) * h
357 = h^2 + 4h
h^2 + 4h - 357 = 0
(h - 17)(h + 21) = 0
h - 17 = 0
h = 17
h + 21 = 0
h = -21 .....not this one because it is negative
b = h + 4
b = 17 + 4
b = 21
so the height is 17 inches and the base is 21 inches <==
A common denominator is when the denominators (bottom number) of two fractions are the same. Fractions must have a common denominator to be added or subtracted.
A common multiple is when two numbers can be multiplying to the same number. Ex) A common multiple of 3 & 4 is 12
A common multiple of 6 & 2 is 18
You would need to know the common multiples of numbers in order to make fractions have a common denominator.
Answer:
20) 30°; 21) 21,1; 22) 6,2
Step-by-step explanation:
For the first image, you have to do <em>csc</em><em>⁻</em><em>¹</em><em> </em><em>2</em><em> </em>[OR <em>sin</em><em>⁻</em><em>¹</em><em> </em><em>½</em>] because you are solving for an angle measure. When evaluated, you get 30°.
For the second image, you have to do <em>13sec</em><em> </em><em>52</em><em>°</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>[OR <em>13\</em><em>cos</em><em> </em><em>52</em><em>°</em><em> </em><em>= x</em>]. When evaluated, you get an approximate measure of 21,1.
For the third image, you have to do <em>6csc</em><em> </em><em>75</em><em>°</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>[OR <em>6</em><em>\</em><em>sin</em><em> </em><em>75</em><em>°</em><em> </em><em>= x</em>]. When evaluated, you get an approximate measure of 6,2.
Extended information on Trigonometric Ratios
O\H = sin θ
A\H = cos θ
O\A = tan θ
H\A = sec θ
H\O = csc θ
A\O = cot θ
I am joyous to assist you anytime.
