Perimeter of square : p = 4a.....
p = 4(x + 2)
p = 4x + 8
perimeter of rectangle : p = 2(L + W)
p = 2(3x + 2 + x - 1)
p = 2(4x + 1)
p = 8x + 2
so if the perimeters are te same, lets set them equal to each other and solve for x
4x + 8 = 8x + 2
8 - 2 = 8x - 4x
6 = 4x
6/4 = x
1.5 = x
the square : p = 4x + 8.....p = 4(1.5) + 8.....p = 14 meters
the rectangle : p = 8x + 2....p = 8(1.5) + 2.....p = 14 meters
so she bought 14 meters of fencing <==
Answer:
0.22 hour, or 13.33 minutes
Step-by-step explanation:
2/9 hour is roughly equivalent to 0.22 hour, or 13.33 minutes.
<span>The sine, cosine, and tangent of 60 deg. is the same as 120, 240, and 300. 30 deg, 45 deg, and 60 deg. can each be matched to other counter parts across the quadrants. The only ones that have their own sin, cos, and tan are 90, 180, 270, and 360. The pi over 4 is a radian and can be found using an equation=
π/4*180/π
The two πs will cancel out and you are left with
180/4 which will give you the degrees. You would do the same equation for the π/6. This can also be used in reverse and you can find the radian using the degrees. Just multiply the degrees by pi/180 and then find a common multiple to reduce the fraction/radian down. pi will stay in your answe</span>
Answer:
amount of pepper required= 7.5 tsp
amount of garlic powder required = 30 tsp
Step-by-step explanation:
Given,
amount of salt used for small batch of the recipe = 2 tsp
amount of pepper used for small batch of the recipe = 1 tsp
amount of garlic powder used for small batch of the recipe = 4 tsp
amount of salt used for the larger batch = 15 tsp
= 2 x 7.5 tsp
= amount of salt used for small batch the recipe x 7.5
So,
the amount of pepper needed for the larger batch= 7.5 x amount of pepper used for the small batch of recipe
= 7.5 x 1 tsp
= 7.5 tsp
the amount of garlic powder needed for the larger batch= 7.5 x amount of garlic powder used for the small batch of recipe
= 7.5 x 4 tsp
= 30 tsp
Let x represent the number of type A table and y represent the number of type B tables.
Minimize: C = 265x + 100y
Subject to: x + y ≤ 40
25x + 13y ≥ 760
x ≥ 1, y ≥ 1
From, the graph the corner points are (20, 20), (39, 1), (30, 1)
For (20, 20): C = 265(20) + 100(20) = $7,300
For (39, 1): C = 265(39) + 100 = $10,435
For (30, 1): C = 265(30) + 100 = $8,050
Therefore, for minimum cost, 20 of type A and 20 of type B should be ordered.
