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)
3.4x3=10.2...
hope this helps!!
A solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
hope that helps
We are told that Emerson struck out 112 times in 350 at-bats. We are asked to find the percent of strike outs per at-bat.
Let us find out 112 is what percent of 350.
![\text{Percentage of strike outs per at-bat}=\frac{112}{350} \cdot 100](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%20of%20strike%20outs%20per%20at-bat%7D%3D%5Cfrac%7B112%7D%7B350%7D%20%5Ccdot%20100)
![\text{Percentage of strike outs per at-bat}=0.32 \cdot 100](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%20of%20strike%20outs%20per%20at-bat%7D%3D0.32%20%5Ccdot%20100)
![\text{Percentage of strike outs per at-bat}=32](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%20of%20strike%20outs%20per%20at-bat%7D%3D32)
Therefore, Emerson struck out 32% of the at-bats.
Answer:
45,000 is the starting salary with zero sales
.05 is the amount multiplied by the number of sales that is added to her salary
For each sale we add .05 to her salary
Step-by-step explanation:
y = 45,000 +.05x
Rewriting as
y = .05x +45,000
This is in slope intercept form ( y=mx+b) where m is the slope and b is the y intercept
.05 is the slope and 45,000 is the y intercept
45,000 is the starting salary with zero sales
.05 is the amount multiplied by the number of sales that is added to her salary
For each sale we add .05 to her salary