Answer:
11. Volume = 2181.2mm^3
12. Surface Area = 1204.49mm^2
Step-by-step explanation:
We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:
a^2+b^2 = c^2
13.3^2+20.5^2 = c^2
176.89+420.25 = c^2
597.14 = c^2
24.44 = c
Now we can find the volume using the formula:
V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
V = 2181.2mm^3
To find the surface area using the surface area formula:
A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt
13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
A = 1204.49mm^2
Answer:
34 ft
Step-by-step explanation:
Total fencing is the total boundary.
Which is equal to the Perimeter
2[6 + 11]
2(17)
34
Ok so here u go
<span>Simplifying
6(2x + -11) + 15 = 21 Reorder the terms:
6(-11 + 2x) + 15 = 21
(-11 * 6 + 2x * 6) + 15 = 21
(-66 + 12x) + 15 = 21 Reorder the terms:
-66 + 15 + 12x = 21 Combine like terms: -66 + 15 = -51
-51 + 12x = 21 Solving
-51 + 12x = 21
Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right.
Add '51' to each side of the equation.
-51 + 51 + 12x = 21 + 51
Combine like terms: -51 + 51 = 0
0 + 12x = 21 + 51
12x = 21 + 51 Combine like terms: 21 + 51 = 72
12x = 72
Divide each side by '12'.
x = 6
Simplifying
x = 6</span>
The answer is D because both of those answer choices can be proved by looking at the triangle
The final step in solving the inequality=
-6<-2x
-2x>-6
x<3
