Im autistic............................................................................................
Answer: 6-
Step-by-step explanation:
Given:
Total number of students at Colfax Middle School = 270
Ratio of boys to girls is 5:4.
Total number of students at Winthrop Middle School = 180
Ratio of boys to girls is 4:5.
The two schools hold a dance and all students from both schools attend.
To find:
The fraction of the students at the dance are girls
Solution:
There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.
![5+4=9](https://tex.z-dn.net/?f=5%2B4%3D9)
Number of boys ![=270\times \dfrac{5}{9}=150](https://tex.z-dn.net/?f=%3D270%5Ctimes%20%5Cdfrac%7B5%7D%7B9%7D%3D150)
Number of girls ![=270\times \dfrac{4}{9}=120](https://tex.z-dn.net/?f=%3D270%5Ctimes%20%5Cdfrac%7B4%7D%7B9%7D%3D120)
There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.
![4+5=9](https://tex.z-dn.net/?f=4%2B5%3D9)
Number of boys ![=180\times \dfrac{4}{9}=80](https://tex.z-dn.net/?f=%3D180%5Ctimes%20%5Cdfrac%7B4%7D%7B9%7D%3D80)
Number of girls ![=180\times \dfrac{5}{9}=100](https://tex.z-dn.net/?f=%3D180%5Ctimes%20%5Cdfrac%7B5%7D%7B9%7D%3D100)
Now,
Total number of students in both schools ![= 270+180](https://tex.z-dn.net/?f=%3D%20270%2B180)
![= 450](https://tex.z-dn.net/?f=%3D%20450)
Total number of girls in both schools ![= 120+100](https://tex.z-dn.net/?f=%3D%20120%2B100)
![= 220](https://tex.z-dn.net/?f=%3D%20220)
The fraction of the students at the dance are girls is
![\text{Required fraction}=\dfrac{\text{Total number of girls in both schools}}{\text{Total number of students in both schools}}](https://tex.z-dn.net/?f=%5Ctext%7BRequired%20fraction%7D%3D%5Cdfrac%7B%5Ctext%7BTotal%20number%20of%20girls%20in%20both%20schools%7D%7D%7B%5Ctext%7BTotal%20number%20of%20students%20in%20both%20schools%7D%7D)
![\text{Required fraction}=\dfrac{220}{450}](https://tex.z-dn.net/?f=%5Ctext%7BRequired%20fraction%7D%3D%5Cdfrac%7B220%7D%7B450%7D)
![\text{Required fraction}=\dfrac{22}{45}](https://tex.z-dn.net/?f=%5Ctext%7BRequired%20fraction%7D%3D%5Cdfrac%7B22%7D%7B45%7D)
Therefore, the required fraction is
.
Answer:
Step-by-step explanation:
For given cylinder:
Radius (r) = 4 in
Height (h) = 24 in
![V_{cylinder} =\pi {r}^{2} h \\ \\ = 3.14(4)^{2} (24) \\ \\ = 1,205.76 \\ \\ \approx 1205.8 \: {in}^{3}](https://tex.z-dn.net/?f=V_%7Bcylinder%7D%20%20%3D%5Cpi%20%7Br%7D%5E%7B2%7D%20h%20%5C%5C%20%20%5C%5C%20%20%3D%203.14%284%29%5E%7B2%7D%20%2824%29%20%5C%5C%20%20%5C%5C%20%20%3D%201%2C205.76%20%5C%5C%20%20%5C%5C%20%20%5Capprox%201205.8%20%5C%3A%20%20%7Bin%7D%5E%7B3%7D%20)
The next step she should take is to draw arcs above and or below line AB to show where the triangles sides meet.
<h3>Steps in construction of an equilateral triangle</h3>
The steps involved in the construction of an a equilateral triangle are:
- Place the compass point on A and measure the distance to point B
- Swing an arc of this size above or below of the segment.
- Do not change the span on the compass
- Then place the compass point on B and swing the same arc, intersecting with the first arc
- Label the point of intersection as the third vertex of the equilateral triangle.
Thus, the next step she should take is to draw arcs above and or below line AB to show where the triangles sides meet.
Learn more about construction of an equilateral triangle here:
brainly.com/question/11261696
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