Answer:
24yards
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) Percentage of blue = ![\frac{6}{36} *100\\=16.67%\\=17%](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B36%7D%20%2A100%5C%5C%3D16.67%25%5C%5C%3D17%25)
True
2) Organe has the least number and hence true
3) Yes. 36 students represent 100% of the data set
4) violet has 12 i.e. 12/36 =1/3 of the total. Hence true.
5) There are 7 colours and hence 7 segments. Hence false.
The volume is 378 ft³. Hope this helps! Good luck.
Answer:
True
m∠T = 40.4°
Step-by-step explanation:
We know all the sides of the triangle but we do not know any of its angles.
To find out if the angle T = 40.4 ° we use the cosine theorem.
According to the cosine theorem:
![c^2=a^2 +b^2-2abcos(\alpha)](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%20%2Bb%5E2-2abcos%28%5Calpha%29)
Where
is the angle between a and b.
In this case:
![\alpha = T\\\\a= 11\\\\b=13\\\\c= 8.5](https://tex.z-dn.net/?f=%5Calpha%20%3D%20T%5C%5C%5C%5Ca%3D%2011%5C%5C%5C%5Cb%3D13%5C%5C%5C%5Cc%3D%208.5)
Then we clear α from the formula and verify that it is equal to 40.4 °
![8.5^2 =11^2 + 13^2 -2(11)(13)cos(\alpha)\\\\8.5^2 -11^2 - 13^2= -2(11)(13)cos(\alpha)\\\\-8.5^2 +11^2 + 13^2= 2(11)(13)cos(\alpha)\\\\\frac{-8.5^2 +11^2 + 13^2}{2(11)(13)}=cos(\alpha)\\\\\alpha=arcos(\frac{-8.5^2 +11^2 + 13^2}{2(11)(13)})\\\\\alpha = 40.4\° =T](https://tex.z-dn.net/?f=8.5%5E2%20%3D11%5E2%20%2B%2013%5E2%20-2%2811%29%2813%29cos%28%5Calpha%29%5C%5C%5C%5C8.5%5E2%20-11%5E2%20-%2013%5E2%3D%20-2%2811%29%2813%29cos%28%5Calpha%29%5C%5C%5C%5C-8.5%5E2%20%2B11%5E2%20%2B%2013%5E2%3D%202%2811%29%2813%29cos%28%5Calpha%29%5C%5C%5C%5C%5Cfrac%7B-8.5%5E2%20%2B11%5E2%20%2B%2013%5E2%7D%7B2%2811%29%2813%29%7D%3Dcos%28%5Calpha%29%5C%5C%5C%5C%5Calpha%3Darcos%28%5Cfrac%7B-8.5%5E2%20%2B11%5E2%20%2B%2013%5E2%7D%7B2%2811%29%2813%29%7D%29%5C%5C%5C%5C%5Calpha%20%3D%2040.4%5C%C2%B0%20%3DT)