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)
Answer:
i am converting to meters
Step-by-step explanation:
5 yd =4.572 meters
3yd=2.7432 meters
4.8yd=2.7432 meters
28yd=25.6032 meters
8yd=7.3152 meters
Ok so right now leave the x's alone. Now add/subtract the numbers without variables which would equal to 0 since -1+4 = 3 and 3-3 =0
now 7x+x =8x so 8x is answer
Answer:C 5000 feet
Step-by-step explanation:It’s slightly less then a mile.
Answer:
Given Rate of interest is r=8%=0.08
Principal Amount is A=5,000
Time is t years
Interest is compounded yearly twice ⟹n=2
Amount =P(1+
n
r
)
nt
=5000×(1+
2
0.08
)
2t
=5,408
(1.0816)
t
=
5000
5408
⟹t=1