Ok, so you eat 1/3 of the pizza the first night. That would leave 2/3 of the pizza uneaten. 2/3 is equal to about 0.67.
You're now going to eat a quarter of what's left of the pizza. A quarter of 2/3 is 2/12 which is 1/6. Subtract 1/6 from 2/3... 4/6 - 1/6 = 3/6 = 1/2. The pizza is already half gone.
At the rate you've decided to eat the pizza, it's going to be half gone after 2 nights.
Answer:
Hey buddy, which pic are you saying following? You have forgot to upload pic .
Answer:
EC = 28'
Step-by-step explanation:
Since ∆KAR ~ ∆ENC, therefore, their corresponding side lengths will be proportional to each other.
By implication, we have:
EN/KA = EC/KR
EN = 96'
KA = 24'
EC = ?
KR = 7'
Thus:
96/24 = EC/7
Cross multiply
EC*24 = 7*96
EC*24 = 672
Divide both sides by 24
EC = 672/24
EC = 28'
Answer:
2
Step-by-step explanation:
only 4/5 and -4/5 are 4/5 away from 0
RO divides the rectangle into two congruent right triangles.
The area of the one triangle is equal half area of the rectangle.
Calculate the area of rectangle:
![A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60](https://tex.z-dn.net/?f=A_R%3Dlw%5C%5Cl%3D12%2C%5C%20w%3D5%5C%5C%5C%5CA_R%3D12%5Ccdot5%3D60)
The area of right triangle:
![A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30](https://tex.z-dn.net/?f=A_T%3D%5Cdfrac%7B1%7D%7B2%7DA_R%5Cto%20A_T%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot60%3D30)
Use the Pythagorean theorem to calculate the length of RO:
![|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13](https://tex.z-dn.net/?f=%7CRO%7C%5E2%3D5%5E2%2B12%5E2%5C%5C%5C%5C%7CRO%7C%5E2%3D25%2B144%5C%5C%5C%5C%7CRO%7C%5E2%3D169%5Cto%7CRO%7C%3D%5Csqrt%7B169%7D%5Cto%7CRO%7C%3D13)
The formula of an area of this right triangle is:
![A_T=\dfrac{1}{2}|RO||PA|](https://tex.z-dn.net/?f=A_T%3D%5Cdfrac%7B1%7D%7B2%7D%7CRO%7C%7CPA%7C)
Therefore we have the equation:
![\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%2813%29%7CPA%7C%3D30%5Cqquad%7C%5Ccdot2%5C%5C%5C%5C13%7CPA%7C%3D60%5Cquad%7C%3A13%5C%5C%5C%5C%7CPA%7C%3D%5Cdfrac%7B60%7D%7B13%7D%5C%5C%5C%5C%7CPA%7C%5Capprox4.62)