Tomnhas read 11 pages of a 215 page book he will read 6 pages each day until he fi ishes the book which equation can be used to
1 answer:
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First I made equations for the perimeter (p) in terms of the width (w) and same for the length (l).
Then, since all the sides added together equaled the perimeter, I made the perimeter equation equal to all the sides added together, all in terms of width (no other variables than w).
Solving that algebraically, you can find w. And then plug that back into the equation for length to find length.
w=8, l=11
Then, since all the sides added together equaled the perimeter, I made the perimeter equation equal to all the sides added together, all in terms of width (no other variables than w).
Solving that algebraically, you can find w. And then plug that back into the equation for length to find length.
w=8, l=11
Explanation:
There are two different formulas that are useful with the given information:
Area = (1/2)ab·sin(C)
Area = √(s(s-a)(s-b)(s-c)) . . . where s=(a+b+c)/2
It does not matter which sides are designated a, b, and c. Angle C will be opposite side c.
The third angle can be computed based on the fact that the sum of angles in a triangle is 180°. It will be 180° -32° -28° = 120°. The least-to-greatest order of the angles is the same as the least-to-greatest order of the length of the opposite side. So, we might have ...
- a = 7, A = 28°
- b = 8, B = 32°
- c = 13, C = 120°
Utilizing the first formula, the area is ...
Area = (1/2)(7)(8)sin(120°) = 14√3 ≈ 24.249 . . . square units
Utilizing the second formula, the area is ...
s = (7+8+13)/2 = 14
Area = √(14(14-7)(14-8)(14-13)) = 14√3 ≈ 24.249 . . . square units
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For the answer to be complete, it should be noted that using either of the other two angles will give different results for the area. That is because those angles are not exact values, but are rounded to the nearest degree. Using the first formula with the different angles, we get ...
- area = (1/2)(8)(13)sin(28°) ≈ 24.413 . . . square units
- area = (1/2)(7)(13)sin(32°) ≈ 24.111 . . . square units
The first of these answers is a little high because 28° is a little more than the actual value of the angle. Likewise, the second of these answers is a little low because 32° is slightly smaller than the actual angle.
In short, the most accurate information available should be used if the answer is to be the most accurate possible. If the angles are exact, then their values should be used. If the side measures are exact, then their values should be used. In general, it will be easier to make accurate measurements of the side lengths than to make accurate angle measurements.
Answer:
300L per hour
Step-by-step explanation:
The rate of change of volume of blood pumped by the teenager's heart expresses the volume of blood pumped with respect to hour.
Rate of change of volume of blood =
=
= 300L/hour
The rate of change of volume of blood by the teenager's heart is 300 litres per hour. This implies that his/ her heart pumps 300 litres of blood every hour.