Answer:
-86
Step-by-step explanation:
-8((-11/4)-8)
((11/4-8)
8x(-43/4)
-2×43=-86
Answer:
nth term = 1 + n(13/4)
Step-by-step explanation:
3n + n/4 + 1
n = 1, 3(1) + (1)/4 + 1 = 4 + ¼ = 17/4
n = 2, 3(2) + (2)/4 + 1 = 7 + ½ = 30/4
n = 3, 3(3) + (3)/4 + 1 = 10 + ¾ = 43/4
n = 4, 3(4) + (4)/4 + 1 = 14 = 56/4
The difference between consecutive terms is 13/4
At n = 1, 17/4 = 1 + 1(13/4)
At n = 2, 30/4 = 1 + 2(13/4)
nth term = 1 + n(13/4)
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
The perimeter is 7500 yd because u multiple 50 by 300 to get 15,000 then divide that by 2 to get 7,500
Volume of the Triangular prism = 1/2 (base*height*length)
<span>V = 1/2 (2 * 2 * 5) </span>
<span>V = 10 cubic inches. </span>
<span>For the surface area, you can divide the prism into parts: </span>
<span>It's made of three rectangles and two equal triangles. </span>
<span>For the two triangles: </span>
<span>The area of each of the triangles is 1/2(base x height) </span>
<span>Area of each triangles = 1/2 (2 * 5) </span>
<span>Area of each triangles = 5 inches^2. </span>
<span>For the three rectangles: </span>
<span>* one is equal to base x length, </span>
<span>Rectangle1 = 2 x 5 </span>
<span>Rectangle1 = 10 inches^2. </span>
<span>* another is equal to side 1 x length </span>
<span>Rectangle2 = 3 x 5 </span>
<span>Rectangle2 = 15 inches^2 </span>
<span>* and the last is equal to side 2 x length. </span>
<span>Rectangle3 = 3 x 5 </span>
<span>Rectangle3 = 15 inches^2 </span>
<span>Adding all the components up, </span>
<span>10 + 15 + 15 + 5 + 5 = 50 inches^2 </span>
<span>Therefore, the surface area of the prism is greater than volume 50 > 10
hpe this helps:)</span>