Answer:
1/6
Step-by-step explanation:
Perpendicular lines have slopes whose product is -1. That is ...
-6m = -1
m = 1/6 . . . . . divide by -6
After 2.0 years, the 4.0 mg sample decays to 2.0 mg.
After another 2.0 years (total 4.0 years), the 2.0 mg sample decays to 1.0 mg.
And after another 2.0 years (total 6.0 years), the 1.0 mg sample decays to 0.50 mg.
So it takes 6.0 years for 4.0 mg to decay to 0.50 mg.
Marie has a small copy of Rene margrittes famous painting. The Schoolmasters. Her copy has dimensions of 2 inches by 1.5 inches. The scale of her copy is 1 inch:40 cm What is the dimensions of the original painting?
Every 1 inch on her copy is the same as 40 cm on the original.
You just have to multiply by 40 and convert to centimetres.
2 x 40 = 80
1.5 x 40 = 60
So the original painting is:
80cm by 60cm
Answer:
8 = 8
Step-by-step explanation:
If the numbers are the same, they are equal ( = )
Answer:
x=75
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
42 50
------ = ----------
42+63 50+x
42 50
------ = ----------
105 50+x
Using cross products
42(50+x) = 50*(105)
2100+42x = 5250
Subtract 2100 from each side
2100-2100+42x = 5250-2100
42x =3150
Divide by 42
42x/42 = 3150/42
x = 75
