Answer:
Where is the question?
Step-by-step explanation:
Step-by-step explanation:
the answer is 3/2
always remember when multiplying numbers of the same base the exponents will always be added and when dividing numbers of the same base the exponents will be minused.
Perimeter = 27 + 9*sqrt(3), Approximately 42.58845727
Area = 40.5*sqrt(3). Approximately 70.14805771
Since all triangles have a total of 180 degrees and we've been given 2 of those angles, the remaining angle is 180 - 90 - 60 = 30 degrees. So we have a 30,60,90 degree right triangle. Drawing the triangle and assigning the proper angle to each vertex shows that AK is the short leg of the triangle. And since it's a 30,60,90 triangle, the hypotenuse is AL and it will be twice the length of AK, so it's 18. And finally, we can use the Pythagorean theorem to calculate the length of KL. So
KL = sqrt(18^2 - 9^2) = sqrt(324 - 81) = sqrt(243) = sqrt(81*3) = 9*sqrt(3)
So the perimeter is
P = 9 + 18 + 9*sqrt(3) = 27 + 9*sqrt(3). Which is approximately 42.58845727
The area is base times height divided by 2. And we have a base of 9 and a height of 9*sqrt(3). So
A = 9 * 9*sqrt(3)/2 = 81*sqrt(3)/2 = 40.5*sqrt(3). Which is approximately 70.14805771
let the weight of the second alloy be y
convert the percentage to fraction, that is 10/100=0.1, 18/100=0.18, 13/100=0.13
Total weight if the mixture is 0.1 x 25+0.18y=0.13(25+y)
2.5+0.18y=3.25+0.13y
like terms together
0.18y +0.13y = 3.25-2.5
0.05y=0.75
divide both side by 0.05
Y is therefore 15 pound of 18% copper is needed
Answer:
He is reasonable to an extent, but he is not. He can saw 8 posts with the given materials.
Step-by-step explanation:
To make 9 posts. He would need 108 inches of material. He can only make 8 posts with the materials he has. With the remainder of the material he could possibly make 6/10ths of a post.
