9514 1404 393
Answer:
h = 2V/(ab)
Step-by-step explanation:
Divide both sides of the equation by the coefficient of h.
V = (abh)/2
h = 2V/(ab)
Answer:90 1/2
Step-by-step explanation:
She sold 362 tickets
She gets prize point for every 4 tickets
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 4 numbers to the right of the decimal point, place the decimal number over <span>104</span> (10000). Next, add the whole number to the left of the decimal.<span>4375\10000</span>Cancel the common factor of 625 in <span>437510000</span> since <span><span>4375\10000</span>=<span><span>7⋅625</span><span>16⋅625</span></span></span>.<span><span>74375</span><span>1610000</span></span>Reduce the expression <span>4375\10000</span> by removing a factor of 625 from the numerator and denominator.<span><span>7\16</span></span>
Answer:
R = 118
Step-by-step explanation:
Given
Represent the polynomial with P and the divisor with D
![P = 19x^2 + 15x + 12](https://tex.z-dn.net/?f=P%20%3D%2019x%5E2%20%2B%2015x%20%2B%2012)
![D = x -2](https://tex.z-dn.net/?f=D%20%3D%20x%20-2)
Required
Determine the remainder
We start by equating the divisor to 0
i.e.
![D = 0](https://tex.z-dn.net/?f=D%20%3D%200)
![x - 2 = 0](https://tex.z-dn.net/?f=x%20-%202%20%3D%200)
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
Substitute 2 for x in the polynomial.
This gives remainder (R)
![R = 19*2^2 + 15*2 + 12](https://tex.z-dn.net/?f=R%20%3D%2019%2A2%5E2%20%2B%2015%2A2%20%2B%2012)
![R = 19*4 + 15*2 + 12](https://tex.z-dn.net/?f=R%20%3D%2019%2A4%20%2B%2015%2A2%20%2B%2012)
![R = 76 + 30 + 12](https://tex.z-dn.net/?f=R%20%3D%2076%20%2B%2030%20%2B%2012)
![R = 118](https://tex.z-dn.net/?f=R%20%3D%20118)
<em>Hence, the remainder is 118</em>
X = 8.5 because 8.5 x 2 = 17 and 17 + 1 = 18