Answer:
(4,-7)
Step-by-step explanation:
-w=(5,-3)
-z=(-1,-4)
so -w-z=(5-1,-3-4)
A transformation is rigid if the original shape remains the same shape and size after the transformation.
Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.
Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.
Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.
Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.
Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.
Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.
Given:
The given inverse trigonometric term is:
To find:
The value given inverse trigonometric term.
Solution:
We have,
Using the calculator, we get
The value of given term is 31.1°.
Therefore, the correct option is B.
Answer:
- 914.4 mm
- 0.0479594 km
Step-by-step explanation:
For units conversion, use a conversion factor ratio with the units you do want in the numerator and the units you don't want in the denominator. The numbers in the numerator and denominator give the ratio a value of 1: the numerator is equal to the denominator--just in different units.
__
1. For feet to mm, you need a couple of additional conversion factors besides the ones shown:
1 foot = 12 in
1 cm = 10 mm
So, the conversion is ...
__
2. The additional factor you need for this problem is ...
1 mile = 5280 feet
So, the conversion is ...
_____
<em>Additional comment</em>
You can use Google to do units conversion by typing "3 feet to mm" or "157 feet to km". However, the conversion factor for the latter will be more exact than the one given in this problem. Hence the Google answer to the second question will not be applicable here.
