Answer:
The number is 7
Step-by-step explanation:
let the said number be x
Nineteeen less than 6 times a number;
6x - 19
equals; 16 more than the number; this is 16 + x
Thus;
6x - 19 = 16 + x
6x-x = 16 + 19
5x = 35
x = 35/5
x = 7
I think its a. Good luck!
Answer:
24 feet
Step-by-step explanation:
We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.
We have to find the dimensions of the sheet metal
Let x feet be the side of square metal sheet
Length of box=x-12 feet (because 6 feet removed from each corner)
Width of box=x-12 feet
Height of box=6 feet
Volume of box=864 cubic feet
We know that volume of cuboid=
Box is in cuboid shaped
Therefore, volume of box=
Then ,
x=0 is not possible because side of square metal sheet can not be zero
Therefore, x=24
All sides of square metal sheet are equal.
Hence, side of square metal sheet =24 feet
Answer:
x = 8.69
Step-by-step explanation:
we know that the perimeter of the dodecagon is 54, so each edge will be 54/12
54/12 = 4.5 cm
if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.
we know that the angle of each vertex is 150 ° because it is a dodecagon
if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know
a would be our x
b = 4.5
c = 4.5
A = 150°
a^2 = b^2 + c^2 - 2bc * cos (A)
x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)
x^2 = 20.25 + 20.25 - 40.50 * -0.866
x^2 = 40.50 + 35.07
x = √ 75.57
x = 8.69
Multiplying by 1 keeps it the same. A number greater than 1 would be an increase and a number below 1 would be a decrease.
The decrease is 2.7% which is written as 0.027 as a decimal.
Subtract that from 1:
1 - 0.027 = 0.973
The multiplier would be 0.973
