Answer: The equation is W^2 + 4W - 96= 0
{Please note that ^2 means raised to the power of 2}
Step-by-step explanation: We have been given hints as to the measurement of the length and width of the rectangle. The length is given as four more than the width. What that means is that whatever is the width, we simply add four to get the measurement of the length. Therefore if the width is W, then the length is W + 4.
That is,
L = W + 4 and
W = W
Also we have the area given as 96.
Remember that the area of a rectangle is given as
Area = L x W.
In this question, the Area is expressed as
Area = (W + 4) x W
96 = W^2 + 4W
Subtract 96 from both sides of the equation and we have
W^2 + 4W - 96 = 0.
We now have a quadratic equation from which we can determine the dimensions of the rectangle
Answer:
175<=12.5x+40
Step-by-step explanation:
She starts with 40 points already so you add in those 40 then since she gets 12.5 points per visit that is your x, so you set that as greater than or equal to 175
Answer:
16.5
Step-by-step explanation:
Given that :
Number of refuge tour guides = 2
Number of tour guides = 11 per tour guide
Duration of each tour = 45 minutes
To calculate the person hour per day for the tour :
Person hour per day = (Total minute spent per day / 60)
Total minutes spent per day= (Number of tour guides) * (Number of refuge tour guides) * (duration per tour)
Total minute spent = (2 * 11 * 45) = 990 minutes
Person hour per day = 990 / 60
= 16.5
<h3>
Answer: 320 square meters</h3>
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Explanation:
The scale factor 4 means the dimensions of the second rectangle are 4 times larger.
The width of 4 meters bumps up to 4*4 = 16 meters.
The length of 5 meters becomes 4*5 = 20 meters.
So a 4 by 5 rectangle is similar to a 16 by 20 rectangle.
The area of the second rectangle is therefore 16*20 = 320 square meters.
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As an alternative, you can compute the area of the 4 by 5 rectangle to get 4*5 = 20. Then multiply this with 4^2 = 16 to get 16*20 = 320.
The 4^2 = 16 multiplier is the result of squaring the scale factor.
So if you know the dimensions have been multiplied by 4, then the area has been multiplied by 16.
