Answer:
15°
Step-by-step explanation:
AB is parallel to DC and AD is parallel to BC
Therefore, if you put Angle D and Angle C together it must form 180°
If Angle C = 120°, that means Angle D = 60°
Now you subtract 45 from 60 and that gives you 15.
The question is asking us to determine the number of rows in which Sam can arrange his 12 black and white and 18 color photos. Sam wants to put them in the equal rows so that each row has either black and white photos only or color photos only. We have to find the GCF ( the Greatest Common Factor ) of 18 and 12. GCF ( 18, 12 ) = 6. So there should be 6 photos in each row if they have to be equal ( the equal number of photos in every row ). 18 = 6 * 3 and 12 = 6 * 2. Therefore the number of the rows is : 3 + 2 = 5. Answer: Sam can arrange his photos in 5 rows<span>. </span>
Answer:
Step-by-step explanation:
Since it is a square, all four sides are equal and its perimeter is just
P=4s, so if P=8 then
4s=8, dividing each side by 4 we get
s=2
So each side of the plastic square is 2 centimeters.
So his lawn can be divided into 4 shapes: 1 rectangle, 2 triangles, and an irregular shape. So you get the area of the rectangle which is 48*120=5,760.
For the part above the rectangle, you can see that the 2 triangles and the irregular shape make one large triangle so take the area of that. (I’m going to refer to this as the BIG triangle).
.5*40*120=2,400
The base of the triangle is equal to the base of the rectangle. The height of the triangle you get by subtracting the height of the WHOLE lawn by the height of the rectangle. (88-48=40).
Inside that large triangle made up of three shapes, you can see another triangle that’s made up of one triangle and the irregular shape. I’ll refer to this triangle as triangle 1.
Take the area of that triangle.
.5*25*75=937.5
The base of the triangle you get by adding the base of the smaller triangle and the irregular shape. (51+24=75)
Inside the triangle you just took the area of (triangle 1) is another triangle (which I’ll refer to as triangle 2). Take the area of triangle 2.
.5*51*17=433.5
Subtract the area of triangle 1 by the area of triangle 2 and that’ll give you the area of the irregular shape.
937.5-433.5=504
So now you add the areas of the BIG triangle and the rectangle.
5760+2,400=8160
Make sure you subtract the irregular shape since it isn’t part of the lawn’s area.
8160-504=7656
So the lawn is 7656 square feet. Multiply it by .005. That equals 38.28. That’s how much fertilizer he needs to use.
Multiply 1.25 to 38.28 to get the amount of money he needs to spend.
47.85 dollars
I might’ve made a few mistakes but I hope my reasoning was at least understandable
1. B because the -5 is the most separated from 0
2. C
3. B
