The prism has 6 faces: 2(length·width), 2(length·heighth), & 2(width·heighth)
2(length · width) = 2(9.8 · 20) = 2(196) = 392 in²
2(length · heighth) = 2(9.8 · 5) = 2(49) = 98 in²
2(width · heighth) = 2(20 · 5) = 2(100) = 200 in²
The sum of the faces is the surface area (S.A.)
392 in² + 98 in² + 200 in² = 690 in²
Answer:
Step-by-step explanation:
AR⊥RS (tangent line is ⊥ to radius of the circle)
BS ⊥ RS (tangent line is ⊥ to radius of the circle.)
∴ AR and BS ⊥ to same line RS.
Hence either AR and BS are in same line or parallel.
But they are radii of different circles.
∴ AR ║BS
Our system of equations is:
y = -3x + 9
y = -x - 5
To solve this system of equations, we are going to use substitution. This means that we are going to substitute the second equation into the first equation since both are already solved for y in terms of x.
y = -3x + 9
-x - 5 = -3x + 9
Now, we must simplify by moving all of the constant terms to one side of the equation and all of the variable terms to the other side.
-x - 5 = -3x + 9
2x - 5 = 9
2x = 14
Finally, to undo the multiplication between the coefficient 2 and the variable x, we must divide both sides by 2 to get the variable x alone.
x = 7
Next, we must substitute in this value we have solved for x into one of the original equations to solve for the other variable, y.
y = -3x + 9
y = -3(7) + 9
To simplify, we must multiply through the parentheses and combine like terms by addition.
y = -21 + 9
y = -12
Therefore, your final answer is x = 7 and y = -12, or as an ordered pair (7, -12).
Hope this helps!
Answer:
m = 1/2
Step-by-step explanation:
Answer:
Your answer should be A) 0.34.
Step-by-step explanation:
Look at the other 3 triangle above and compare it to the below triangle that only has 70°.
One of the triangles is similar to the triangle below that has 70°.
Using the Side Length value we get 3.4/10 = 0.34.
