Answer:
The distance between the zoo and the library is 400ft
Step-by-step explanation:
Let x be the distance between point G and the zoo
Let y be the distance between the zoo and the library
To solve this problem quickly, we use trigonometric relations
tan(angle) = opposite cathetus / adjacent cathetus
In this case
tan(30) = (200√3) / (x+y)
(x+y) = (200√3)/ tan(30)
(x+y) = 600 ft
For the other angle
tan(60) = (200√3) / (x)
(x) = (200√3)/ tan(60)
x = 200 ft
y = 600 ft - 200 ft = 400 ft
The distance between the zoo and the library is 400ft
The members of a book club spend $0.4 for each Bagel as refreshment.
Let x represent the cost of each bagel.
At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:
Cost = 6x + 9
At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:
Cost = 8x + 8.20
Since the same money is spent on each meeting, hence:
6x + 9 = 8x + 8.2
2x = 0.8
x = $0.4
Therefore the cost of each bagel is $0.4
Find out more at: brainly.com/question/13911928
4.626,5.63,4811,9320.........
Answer:
Step-by-step explanation:
4.
a)
P = 2width + 2length
8x = 2x + 2 length; 8x-2x = 2 length; 6x=2 length
length = 3x
b)
sides= 1/4 of 3x = 3x/4
perimeter of square = 4* side = 4*3x/4 = 3x
c)
x= 4
P rectangle =8x= 8*4= 32
P square = 3x = 3*4 = 12
32-12 = 20 cm greater is the P rectangle than P of square
d)
A rectangle = 2x*x = 2*4*4 = 32
A square =(3x/4)² = (3*4/4)² = 9
32-9 = 23 cm² greater is the A rectangle than A of square
5.
4Comic+1 Nonfiction
4comic = 8y so 1 comic = 2y
1 nonfiction = (3+7y)+ 2y
a)
1 nonfiction = 7y+2y+3 = 9y+3
b)
total= 8y+9y+3 = 17y+3
if y=4
total = 17*4 +3 = $71
