Well there is 24 hours in a day so 24 - 15 = 9. So he spends 9 hours awake.
You have not provided the diagram/coordinates for point Q, therefore, I cannot provide an exact answer.
However, I can help you with the concept.
When rotating a point 90° counter clock-wise, the following happens:
coordinates of the original point: (x,y)
coordinates of the image point: (-y,x)
Examples:
point (2,5) when rotated 90° counter clock-wise, the coordinates of the image would be (-5,2)
point (1,9) when rotated 90° counter clock-wise, the coordinates of the image would be (-9,1)
point (7,4) when rotated 90° counter clock-wise, the coordinates of the image would be (-4,7)
Therefore, for the given point Q, all you have to do to get the coordinates of the image is apply the transformation:
(x,y) .............> are changed into.............> (-y,x)
Hope this helps :)
The area of a 2D form is the amount of space within its perimeter. The area of the arrow is 11.25 in².
<h3>What is an area?</h3>
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
For the given problem, the image is given below.
The area of the arrow is,
Area = Area of rectangle + Area of triangle
= (1.5 in × 4.5 in) + (0.5×3×3)
= 6.75 in² + 4.5 in²
= 11.25 in²
Hence, the area of the arrow is 11.25 in².
Learn more about the Area:
brainly.com/question/1631786
#SPJ1
Answer: 0.4 pounds of the trail mix is oats.
To find the answer, you can set up a proportion. We can use the percent proportion below.
part/whole = percent/100
x/2 = 20/100
To solve this you cross multiply and divide.
100x = 40
x = 0.4
Answer:
22.36
Step-by-step explanation:
20*.86=17.2
12 *.43= 5.16