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MariettaO [177]
2 years ago
14

53х - 1015. х - 3x —10x-(3x -3​

Mathematics
1 answer:
Levart [38]2 years ago
6 0

Answer:

3 - 151 x

Step-by-step explanation:

d/dx(5×3 x - 10×15 x - 3 x - 10 x - (3 x - 3)) = -151

Indefinite integral:

integral(3 - 151 x) dx = 3 x - 75.5 x^2 + constant

Definite integral after subtraction of diverging parts:

integral_0^∞ ((3 - 151 x) - (3 - 151 x)) dx = 0

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The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is 25 yards, which measurement is close
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Answer:

Width of the pool = 15 yards

Step-by-step explanation:

Given that:

Length of diagonal of swimming pool = 29 yards

Length of the pool = 25 yards

Let,

w be the width.

This will form a right angled triangle where the diagonal will be hypotenuse.

Using Pythagorean theorem;

(25)^2+(w)^2 = (29)^2\\625+w^2=841\\w^2= 841 - 625\\w^2 = 216

Taking square root on both sides

\sqrt{w^2}=\sqrt{216}\\w=14.70

Rounding off to nearest whole number

w = 15 yards

Hence,

Width of the pool = 15 yards

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