Area of a triangle = (height * base ) / 2
height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
Answer: 85
Step-by-step explanation: 15 × 6= 90 - 5= 85
Answer:
k =4/5
Step-by-step explanation:
![k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}](https://tex.z-dn.net/?f=k%20-%204.8%3D0.32%20-%205.4k%5C%5C%5Cmathrm%7BMultiply%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D100%5C%5Ck%5Ctimes%5C%3A100-4.8%5Ctimes%5C%3A100%3D0.32%5Ctimes%5C%3A100-5.4k%5Ctimes%5C%3A100%5C%5C%5C%5CRefine%5C%5C100k-480%3D32-540k%5C%5C%5C%5CAdd%5C%3A%20480%5Cmathrm%7B%5C%3Ato%5C%3Aboth%5C%3Asides%7D%5C%5C100k-480%2B480%3D32-540k%2B480%5C%5C%5C%5CSimplify%5C%5C100k%3D-540k%2B512%5C%5C%5C%5C%5Cmathrm%7BAdd%5C%3A%7D540k%5Cmathrm%7B%5C%3Ato%5C%3Aboth%5C%3Asides%7D%5C%5C100k%2B540k%3D-540k%2B512%2B540k%5C%5C%5C%5CSimplify%5C%5C640k%3D512%5C%5C%5C%5C%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D640%5C%5C%5Cfrac%7B640k%7D%7B640%7D%3D%5Cfrac%7B512%7D%7B640%7D%5C%5C%5C%5Ck%3D%5Cfrac%7B4%7D%7B5%7D)
![\huge{\boxed{\frac{1}{2}}}](https://tex.z-dn.net/?f=%5Chuge%7B%5Cboxed%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D)
To divide by a fraction, you multiply by its reciprocal, which you find by flipping the numerator and the denominator. ![\frac{1}{3} \div \frac{6}{9} = \frac{1}{3} * \frac{9}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cdiv%20%5Cfrac%7B6%7D%7B9%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2A%20%5Cfrac%7B9%7D%7B6%7D)
Multiply the numerators and the denominators separately. ![\frac{1}{3} * \frac{9}{6} = \frac{1*9}{3*6} = \frac{9}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%2A%20%5Cfrac%7B9%7D%7B6%7D%20%3D%20%5Cfrac%7B1%2A9%7D%7B3%2A6%7D%20%3D%20%5Cfrac%7B9%7D%7B18%7D)
Simplify by dividing both sides of the equation by
. ![\frac{9 \div 9}{18 \div 9} = \boxed{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B9%20%5Cdiv%209%7D%7B18%20%5Cdiv%209%7D%20%3D%20%5Cboxed%7B%5Cfrac%7B1%7D%7B2%7D%7D)
Answer:
z = -1
Step-by-step explanation:
add like terms: 13z = -13
divide both sides by 13: z = -1