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:
Part 1: 30.42
Part 2: 33.598 (33.6)
Step-by-step explanation:
Part 1:
First you're going to start by subtracting 142 from 360 to get 218
Then you're going to divide 218 by 360 to get a rounded .61
Then you're going to multiply that by pi (3.14)
.61 x 3.14 = 1.9
Then you're going to square 4
4 x 4 = 16
Then multiply 1.9 x 16
Your answer should be 30.42
<u>Part 2: </u>
<u>Since it gives you the measurment you need, you're going to skip the subtracting and just divide 107 by 360</u>
<u>This gives you .3 (rounded)</u>
<u>Multiply by pi</u>
<u>.3 x 3.14 = .94</u>
<u>multiply by square of 6 (36)</u>
<u>.94 x 36 = 33.84</u>
<u>if you shove it all into a calculator without rounding inbetween at all you get 33.59</u>
Answer:
<h2>Leah is actually wrong, because those rectangles are similar.</h2>
Step-by-step explanation:
Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.
In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.


As you can observe, both ratios are equal.
Therefore, those rectangles are congruent.
Answer:
17.03 units
Step-by-step explanation:
The distance formula for the distance between two points (x1, y1) and (x2, y2) is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
For the given points, the distance is ...
d = √((8-(-3))^2 +(-6-7)^2) = √(11^2 +(-13)^2)
d = √(121 +169) = √290
d ≈ 17.03
The distance between the points is about 17.03 units.