3(r-6)+2=4(r+2)-21
3r-18+2=4r+8-21
3r-16=4r-13
-3=r
r=-3
Answer:
Step-by-step explanation:
r = 8.35 ft
area of circle = πr² = 69.7225π ft²
θ = 5π/9 radians
area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²
shaded region = 69.7225π - 26.51 ≅ 192.53 ft²
Answer:
D'(-6,-4)
Step-by-step explanation:
When making this non rigid transformation about a point, keep in mind that a dilation by a certain scale factor can be represented by:
so if 5.5 is in meter let change it to cm because the question want us to give the answer in cm.
now we multiply 5.5 times 100 which is equal to 550.
next we subtract 550 - 220= 330.
finally, the difference between a teacher and student is 330cm .meaning the teacher's desk is 330 cm longer or taller than the student.
Answer:
552
Step-by-step explanation:
This is a problem of permutation which can be solved by rule of fundamental counting principle.
This principle states that if there "m" ways of doing one thing and "n" ways of doing other. Then no. of ways in which both the things can be done together is "m*n". This can be extended for m, n, p,r, s things and so on.
example: if there are 5 shirts and 3 trousers then number of ways in which the shirts and trousers can be worn is 5*3 = 15 ways.
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The given problem is on similar concepts.
here 6 short stories, 4 novels, and 23 poems have to be assigned to his class.
Thus it can be done in 6*4*23 = 552 ways.
