Answer:
1042
Step-by-step explanation:
-38,-8,22,52
The common difference is 52 - 22 = 30
a_1 = -38
a_2 = -38 + 30
a_3 = -38 + 2 * 30
a_4 = -38 + 3 * 30 (notice that the common difference is multiplied by 1 less than the term number)
a_n = -38 + (n - 1)30 (since the term number is n, we multiply the common difference by n - 1)
a_n = -38 + 30(n - 1)
a_37 = -38 + 30(37 - 1)
a_37 = 1042
The surface area of any object is the sum of the areas of all the faces. In this case, we have a rectangular prism with dimensions 8x4x3 and a trianglar prism with a 8x4 rectangular base and height of 6.
Let's start with the rectangular prism. We have the bottom which is 8x4, two sides that are 3x4, and two sides that are 8x3.
8*4 + 2*3*4 + 2*8*3 = 104 in^2
Now that's find the surface area of the trianglar prism. We have the rectangular side on top which is 10x4, the rectangular side on the right which is 6x4, and two triangles that are 8 long and 6 high.
10*4 + 6*4 + 2*0.5*8*6 = 112 in^2
The total surface area is 104 + 112 = 216 in^2
Answer:
The answer is D
Step-by-step explanation:
For number one, the answer will be C because the ratio between the side and the perimeter of the Pentagon will be 1/5 or 2/10 or 3/15. For number 2, we know that the Pentagon had 5 sides, and the side of it is 8, so the perimeter of this Pentagon will be 8+8+8+8+8 or 40 inches, which is C. Hope it help!
Hello there! We are looking for the amount of total sales. To find the amount of total sales, we can write and solve a proportion. Set it up like this:
180/x = 3/100
We do this, because 180 is part of the whole, 3% is a part of 100%. This proportion will help us get to the correct answer. Let's cross multiply. 180 * 100 is 18,000. 3 * x is 3x. that makes 18,000 = 3x. Now, divide each side by 3 to isolate the x. 3x/3 cancels out. 18,000/3 is 6,000. Let's check this. 6,000 * 3% (0.030 is 180. 180 = 180. There. x = 6,000. The amount of sales is $6,000.
