Consider this option:
1. formula of perimeter is: P=2(a+b), where a & b - the sides of rectangle.
2. according to the condition 2(x+(x+4))<120; ⇒ x<28
answer: D. x<28
Answer:
The solution to the given system of equations is (-2,
)
Therefore the values of x and y are x=-2 and 
Step-by-step explanation:
Given equations can be written as

Solving equation(2) we get
x=-2
Substitute x=-2 in equation (1) we get




Therefore the values of x and y are x=-2 and 
The solution to the given system of equations is (-2,
)
Answer:
Step-by-step explanation:
a-number of advance tickets
s-number of same day tickets
a*40+s*25=2400
a +s =75
I solve with the substitution method
s=75-a
40a+25*(75-a)=2400
40a+1875-25a=2400
15a=2400-1875
15a=525
a=525/15
a=35
so s=75-35
s=40
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³