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
there are 5 1/5 in an hour
so multiply 1/2 by 5
1/2 = 0.5
0.5 *5 = 2.5 miles in 1 hour
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:

We can rewrite this as:

Now we can add and subtract cos^2(x)*sin^2(x) to get:

We can complete squares to get:

and we know that:
cos^2(x) + sin^2(x) = 1
then:

This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:

Then the simplification is:

No. AB is not perpendicular to AC
Answer:
Monthly
Step-by-step explanation:
APY is 0.0302 = 3.02 Percent - 3.00% - monthly