Learning of Galileo’s imprisonment. You can also look this up on Brainly and Google
Answer:
1. The scale factor here is 1.5
2. The scale factor here is 2/3
Step-by-step explanation:
Here, we shall be dealing with scales of triangles.
we have two triangles;
ABC and DEF
longest sides are in the ratio;
12 : 8
1. What scale factor translates DEF to ABC?
The ratio of the length can be beaten down to 3:2
So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC
So the scale factor here is 1.5
2. This is like the other way round of what we have above.
By multiplying the sides of ABC by 2/3, we shall have the sides of DEF
This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.
For the resulting sum we can use the Law of Cosines or just add up the components. Let's try it both ways.
Components first. In the east direction we have
300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour
In the north direction we have
0 + 100 sin 30° = 100 (1/2) = 50 miles per hour
So a total speed of
sqrt{386.6^2 + 50^2} = 389.82 miles per hour
Answer: 389.82
--------
OK let's try the Law of Cosines. We have sides 300 and 100 and included angle 150°.
Answer:
Omas can buy 1 pound of walnuts.
Step-by-step explanation:
From the information given, you can say that the total cost would be equal to the result of multiplying the price per pound of granola for the number of pounds of granola plus the result of multiplying the price per pound of walnuts for the number of pounds of walnuts, which would be:
Total cost=2x+6y, where
x is the number of pounds of granola
y is the number of pounds of walnuts
Now, you can replace the values on the formula and solve for y:
12=(2*3)+6y
12=6+6y
6=6y
y=1
According to this, the answer is that Omas can buy 1 pound of walnuts.
Answer:
y=(5/2)x+14
Use the slope formula and slope-intercept form y=mx+b to find the equation
