Answer:
156
Step-by-step explanation:
s8 = n/2 [2t + (n-1)(d)]
= 8/2 [2(2) + (8-1)(5)]
= 4 [4 + (7)(5)]
= 4 (4 + 35)
= 4 (39)
= 156
Answer:
Step-by-step explanation:
5x+y-7=0 isolate y
y=-5x+7 (m=-5,b=7)
9x+7y-14=0
7y=14-9x ( divide both sides by 7)
y=-9x/7 +14/7
y=-9/7 + 2 (m=-9/7, b=2)
x+y=1000
4x+3y=3600 ( multiply the first equation by 3 to eliminate y)
3x+3y=3000
4x+3y=3600 ( subtract the two equations)
3x+3y-(4x+3y)=3000-3600
3x+3y-4x-3y=-600
-x=-600
x=600 ( substitute x in the equation)
x+y=1000
600+y=1000
y=1000-600=400
check : x+y=1000 , (600+400)=1000
check : 4x+3y=3600 = (4(600)+3(400))=2400+1200=3600
how many tickets are sold :
adults x=600/4=150
kids (y)=400/3=133 tickets+1 dollars left
unless( x represent kids then x=200, y represent adult = 100)
The Area of rectangle = 80 unit².
<h3>What is Area of rectangle?</h3>
The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You can use the formula of the area of a rectangle to find the space occupied by these objects. For example, let us consider a rectangle of length 4 inches and width 3 inches.
from figure (a)
DE= 40/8 = 5
BC= 100/5 = 20
Now,
AC= AB + BC= 8+ 20 = 28
CE= CD + DE = 10+5= 15
So, area of rectangle
= AC* CE
= 28* 15
= 420
Now, from figure (b)
CD= 24/12= 2
DE= 12/4 = 3
AC= AB+ BC= 14+ 4= 16
CE= CD + DE= 2+3 = 5
So, Area of rectangle= 16*5 = 80 unit²
Learn more about area of rectangle here:
brainly.com/question/237997
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Answer:
the larger cyclinder has a surface area which is 9 times the surface area of the smaller cyclinder.
Step-by-step explanation:
Surface area of larger cyclinder
Radius = 6cm
Height = 18cm
A = 2πrh + 2πr^2
= 2*3.14*6*18 + 2*3.14*6^2
= 678.24 + 226.08
= 904.32 cm
Smaller cyclinder (1/3 of the larger cyclinder)
Radius = 2cm
Height = 6cm
A = 2πrh + 2πr^2
= 2*3.14*2*6 + 2*3.14*2^2
= 75.36 + 25.12
= 100.48 cm
Comparing the surface area of the larger cyclinder and the smaller cyclinder
= 904.32 cm / 100.48 cm
= 9
This means, the larger cyclinder has a surface area which is 9 times the surface area of the smaller cyclinder.
Answer:
356/1000
Step-by-step explanation:
