–4.5t49.5t = 40 Please help
1 answer:
Answer:
t= -0.18
Step-by-step explanation:
Isolate t to get the unknown number:
(-4.5t)(49.5t) = 40
Multiply (-4.5t)(49.5t):
(-4.5t)(49.5t) = -222.75t
Now, write full equation:
-222.75t = 40
Isolate t by dividing -222.75 on both sides:
Cancel out left hand side:
Simplify your answer:
Approximate to 2 decimals:
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Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.
If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).
Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.
c^2 = a^2 + b^2
where c is the total displacement from the starting point to the end point
a is the distance he walks up north
b is the distance he walks to the west
c^2 = 100^2 + 100^2
c^2 = 10,000 + 10,000
c^2 = 20,000
c = 141.42 meters
Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.
100 meters + 100 meters - 141.42 meters = 53.58 meters
Learn more about Pythagorean Theorem here: brainly.com/question/343682
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Answer:
The scale factor is 1.
Step-by-step explanation:
Let k be the scale factor of a dilation of triangle ABC to form the image triangle A'B'C'.
The dilation is a magnification if
In this case, the preimage will be similar to the image triangle.
If
the dilation is a reduction. The image and pre-image will still be similar.
But if
the image is the same as the preimage.
We say the pre-image is congruent to the image triangle.