Using proportions, it is found that the correct time when it reads 10:30pm is of 9:40 pm.
<h3>What is a proportion?</h3>
A proportion is a fraction of total amount, and the measures are related using a rule of three.
In this problem, when 56 minutes have passed, the clock indicates that 60 minutes have passed. Hence, what is the time passed when the clock indicates that 12 hours and 30 minutes, that is, 60 x 12 + 30 = 750 minutes have passed?
Hence, the <em>rule of three</em> is:
56 minutes - 60 minutes
x minutes - 750 minutes
Applying cross multiplication:
700 minutes is 660/60 = 11 hours + 40 minutes after 10:00 am, hence the correct time is of 9:40 pm.
You can learn more about proportions at brainly.com/question/24372153
Answer:
p(x)= (x+1)(x+2)(x-3)(x-1)
then,multiplying two two terms
(x^2 +2x+x+2)(x^2-x-3x+3)
(x^2+3x+2)(x^2-4x+3)
x^4- 4x^3+3x^2 +3x^3-12x^2+9x+2x^2-8x+6)
x^4-x^3-7x^2+x+6
Answer:
- Exact Area = 210.25pi - 210
- Approximate Area = 450.185
The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14
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Explanation:
Use the pythagorean theorem to find the length of the hypotenuse
a^2 + b^2 = c^2
20^2 + 21^2 = c^2
400 + 441 = c^2
c^2 = 841
c = sqrt(841)
c = 29
The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.
The area of the circle is...
A = pi*r^2
A = pi*(14.5)^2
A = pi*210.25
A = 210.25pi
Which is exact in terms of pi
We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.
So the shaded region is therefore 210.25pi - 210 square inches
This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.
All are relations except for relation 3
Answer:
1.) x=3 2.)n= -1/4 3.) h=7
Step-by-step explanation:
