The area of the shaded region is 3x^2 + 6x
<h3>How to determine the area of the shaded region?</h3>
The given parameters are:
- Top side of the shaded rectangle = 2x + 7.
- Left side of the shaded rectangle = 2x.
- Top side of the unshaded rectangle = x + 8.
- Left side of the unshaded rectangle = x.
The area of the shaded region is calculated as:
Shaded region area = (Top side of the shaded rectangle * Left side of the shaded rectangle) - (Top side of the unshaded rectangle * Left side of the unshaded rectangle)
Substitute the known values in the above equation
Shaded region area = (2x + 7) * (2x) - (x + 8) * (x)
Evaluate the products
Shaded region area = (4x^2 + 14x) - (x^2 + 8x)
Open the bracket
Shaded region area = 4x^2 + 14x - x^2 - 8x
Collect the like terms
Shaded region area = 4x^2 - x^2 + 14x - 8x
Evaluate the like terms
Shaded region area = 3x^2 + 6x
Hence, the area of the shaded region is 3x^2 + 6x
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All multiples of 15 between 0 and 300,inclusive
How?
Hence.
<h3>Number of minutes in 3/4 of an hour is :
</h3>
<h3>n = 3/4 × 60 = 45 minutes.
</h3>
<h3>Now, If it continues to rain at that rate for 15 more minutes :
</h3><h3>
</h3><h3>So, time taken = 45 + 15 min = 1 hour.
</h3><h3>
</h3><h3>Let, rain gauge is filled x fraction in 1 hour.
</h3>
<h3>So,
</h3>
<h3>Hence, this is the required solution.</h3>
Answer: 706 grams
Step-by-step explanation:
s(m) = km
So 6000 = 8.5m
Divide both sides by 8.5 to isolate m
6000/8.5 = 8.5m/8.5
705.88 = m
m = 706 (rounding up)
Answer:
21 minutes
Step-by-step explanation:
When adding time every time you hit 60 minutes you are at the next hour so if you add 20 you end up at 8:02. Add another minute and now you are at 8:03.
