The surface area of the triangular prism is 686.6 cm².
Step-by-step explanation:
Step 1:
The volume of a triangular prism can be determined by multiplying its area of the triangular base with the length of the prism.
The base triangle has a base length of 10 cm and assume it has a height of h m.
The volume of the prism
The height of the triangle is 8.66 cm.
Step 2:
The surface area of the triangle is obtained by adding all the areas of the shapes in the prism. There are 2 triangles and 3 rectangles in a triangular prism.
The triangles have a base length of 10 cm and a height of 8.66 cm. A triangles area is half the product of its base length and height.
The rectangles all have a length of 20 cm and a width of 10 cm. The area of a rectangle is the product of its length and width.
The area of the 2 triangles ![= 2 [\frac{1}{2} (10)(8.66)] = 86.6.](https://tex.z-dn.net/?f=%3D%202%20%5B%5Cfrac%7B1%7D%7B2%7D%20%2810%29%288.66%29%5D%20%3D%2086.6.)
The area of the 3 rectangle ![= 3[(20)(10)] = 600.](https://tex.z-dn.net/?f=%3D%203%5B%2820%29%2810%29%5D%20%3D%20600.)
Step 3:
The surface area of the triangular prism 
The surface area of the prism is 686.6 cm².
8x + 5 - (4x + 2)
= 8x - 4x + 5 - 2
= 4x + 3
2.
This is a binomial ( contains 2 terms)
Answer:
Its the bottom one x>5
Step-by-step explanation:
In order to find zeroes of a function, we will probably want to use our quadratic formula.
-b±√b^2-4(a)(c)/2a
If we know our values, we can plug it in.
Our values:
A=1 (Since there is no number in front of x, it is an assumed 1)
B=17
C=72
Now, We can plug it into our formula.
BE SURE TO PUT PARENTHESIS AROUND ALL TERMS!
-(17)±√(17)^2-4(1)(72)/2(1)
Now we can type it into a calculator!
When we plug it into the formula. It gives us two real solutions (or zeroes) which are represented as:
-8 & -9.
Answer/Step-by-step explanation:
The value of x can be solved as follows, take note of the numbers you will need to drag to complete the equations:
4x + 12x = 320 (segment addition postulate)
16x = 320 (combining like terms)
x = 20 (dividing both sides by 16)
We would end up with the value of x, which equals 20.
Numbers that we end up using are: 12, 16, 20, and 320.
