Answer:
The length of the window is 35 inches.
Step-by-step explanation:
Perimeter of an object can be found using the general formula: P = 2W + 2L, where P = perimeter, W = width and L= length. Since both the width and perimeter of the window are given, we can plug these values into the formula to solve for the missing variable 'L': 112 = 2(21) + 2L, or 112 = 42 + 2L. We can then use inverse (opposite) operations to isolate the variable and solve. Whatever we do to one side of the equation, we do to the other. We will start by subtracting 42 from each side: 112 - 42 = 42 - 42 + 2L or 70 = 2L. Next, we divide both sides by 2 to solve for L: 70/2 = 2L/2 or L = 35. So, the final length of the window is 35 inches.
Answer:
5.8
Step-by-step explanation:
Y e s .
Using the Distance formula and all.
Answer:
m(∠C) = 18°
Step-by-step explanation:
From the picture attached,
m(arc BD) = 20°
m(arc DE) = 104°
Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.
m(∠C) = ![\frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%5Ctext%7Barc%28EA%29%7D-%5Ctext%7Barc%28BD%29%7D%5D)
Since, AB is a diameter,
m(arc BD) + m(arc DE) + m(arc EA) = 180°
20° + 104° + m(arc EA) = 180°
124° + m(arc EA) = 180°
m(arc EA) = 56°
Therefore, m(∠C) = 
m(∠C) = 18°
<h3>Y
ou have the correct answer</h3><h3>Interest rate = 21.5%</h3>
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Work Shown:
i = P*r*t .... simple interest formula
i = simple interest
i = 2075-1000 = 1075
P = 1000 = amount borrowed (principal)
r = unknown interest rate
t = 5 = time in years
So,
i = P*r*t
1075 = 1000*r*5
1075 = 5000r
5000r = 1075
r = 1075/5000
r = 0.215
r = 21.5%
<span>D. r + (-r) = 0
</span>
The additive inverse<span> of a number a is the number that, when added to a, yields zero. This number is also known as the opposite.</span>
