K=4 would be the answer you’re looking for
Each train carried 64141 kg of flour and each truck carried 9163 kg of flour.
Step-by-step explanation:
Let the no. of kg of flour carried by each train be 'a'
Let the no. of kg of flour carried by each truck be 'b'
Total flour = 403172 kg
No. Of trains = 5
No. of trucks = 9
a = 7(b)
5a + 9b = 403172
5(7b) + 9b = 403172
35b + 9b = 403172
44b = 403172
b = 403172/44
b = 9163
Each truck carried 9163 kg of flour.
a = 7b
a = 7(9163)
a = 64141
Each train carried 64141 kg of flour.
Answer:
cos(x) = square root 2 over 2; tan(x) = 1
Step-by-step explanation:

was, before it was rationalized,

Therefore,

The side opposite the reference angle measures 1, the hypotenuse measures square root 2. That makes the reference angle a 45 degree angle. From there we can determine that the side adjacent to the reference angle also has a measure of 1. Therefore,
and
since tangent is side opposite (1) over side adjacent (1),
tan(x) = 1
This is a positive statement
Answer: OPTION A.
Step-by-step explanation:
By definition, a dilation can be an enlargement or a reduction of the shape.
An enlargement is when dilation creates a larger image and a reduction is when dilation creates a smaller image.
When, the scale factor is greater than 1, the image is an enlargement and when the scale factor is between 0 and 1, the image is a reduction.
It is important to know that with a negative scale factor the enlargement will will be inverted and it will also be on the other side of the center of dilation.
Knowing this, we can say that the scale factor that will result in an enlargement is:
