Part A : y=$0.75m+$4.50
Part B : $8.25
Let one angle be x.
Other angle = x + 30°
Given, angles are complementary;
x + x + 30 = 90
2x = 60
x = 30°
Hence, the angles are 30° and 60°.
Answer:
The solution of the equation is 
.
Step-by-step explanation:
The previous equations is for the Ohm's Law, which states that current (
), measured in amperes, is directly proportional to the voltage (
), measured in volts:
The complete formula is:
(1)
Where 
is the electric resistance, measured in ohms.
Solving for means that we need to clear within the formula, a process that will be presented step-by-step:
1) 
Given
2) 
Compatibility with multiplication.
3) 
Commutative and associative properties.
4) 
Existence of multiplicative inverse.
5) 
Modulative property.
6) Definition of division/Symmetric property/Result
The solution of the equation is .
Answer:
<em>The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>
Step-by-step explanation:
We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;
This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;
5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,
25 + 25 = x^2,
x^2 = 50,
x = √50
Now the same procedure can be applied to this other quadrilateral;
3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,
9 + 49 = x^2,
x^2 = 58,
x = √58
<em>Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>
Answer:209ft
Step-by-step explanation:
We let y be the unknown value, which is length of conduit.
200^2 + 60^2=y^2
40000 + 3600=y^2
43600=y^2
Square both side
y= sqrt(43600)
y= 208.8061 ft
y=209 ft
