By subtracting the two equations
3y = 18
y = 6
-6x + 3(6) = -12
-6x = -30
x = 5
<h3>
Answer: 1.79 square meters</h3>
Work Shown:
A = area of the triangular front face
A = base*height/2
A = 0.8*0.1/2
A = 0.04
L = lateral surface area
L = combined area of all the rectangular faces
L = (perimeter of the triangular face)*(depth of the prism)
L = (0.1+0.8+0.81)*(1)
L = 1.71
SA = total surface area of the triangular prism
SA = 2*A+L
SA = 2*0.04+1.71
SA = 1.79 square meters
Answer:
A
Step-by-step explanation:
The two lines cross the others path to form a right angle.
The answer is <span>Sum of Cubes.
Since there is sign +, we expect it to be the sum. Among all choices, only the last one includes summation, and that is sum of cubes.
Let's check it out.
Sum of cubes can be expresses as:
a</span>³ + b³ = (a + b)(a² - ab + b²)
Let's see what are cube roots of 125 and 8:
∛125 = ∛5·5·5 = ∛5³ = 5 ⇒ a = 5
∛8 = ∛2·2·2 = ∛2³ = 2 ⇒ b = 2
Now, let's implement that in the equation of sum of cubes:
5³ + 2³ = (5 + 2)(5² - 5·2 + 2²)
125 + 8 = 7 · (25 - 10 + 4)
133 = 7 · 19
133 = 133
Therefore, sum of cubes is the right answer.
221 is rational since 221 = 221/1
So is 331 because 331 = 331/1
The product of any two rational numbers is also rational
--------------------------
Proof:
Let x = p/q and y = r/s be two rational numbers. The q and s values are nonzero.
Their product is
x*y = (p/q)*(r/s)
x*y = (p*q)/(r*s)
which is a ratio of two integers pq and rs, so (p*q)/(r*s) is rational
