5. Molly subscribed to a new streaming service. The monthly cost includes a $9 base fee plus $0.50 for each
1 answer:
Answer:
a.
b. She'll pay $11.5
Step-by-step explanation:
Given
Base Fee = $9
Additional Fee = $0.50 per show
Solving (a): Find the relationship between c and w
c = Monthly cost
w = Number of shows
c = Base Fee + Additional Fee * Number of Shows
Solving (b): Find c if w = 5
Substitute 5 for w
<em>Hence, She'll pay $11.5</em>
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The length and width of the rectangle are 18 in and 1 in, respectively.
<h3>Quadrilaterals</h3>There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
The area of a rectangle can be found for the formula : b*h, where b = base and h =height.
For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus, from the value of area given, you can find the values of the length and width of the rectangle.
A=b*h
18=(W+17)*W
18=W²+17W
W²+17W-18=0
Solving this quadratic equation, you have:
w1=1 and w2= -18
For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.
As, the area (l*w) is 18 in², see.
18=l*w
18=l*1
l=18 in
Read more about the area of rectangle here:
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Using the law of sines, we have
And we know that
So, the equation becomes