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eduard
3 years ago
7

A pebble drops from a balcony that is 160 feet above the ground. The pebble lands on the top of a sign that is 16 feet high. The

function y=160-16t^2 represents the height y (in feet) of the pebble t seconds after dropping from the balcony. How many seconds does the pebble drop before hitting the sign?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0

Answer:

3 seconds

Step-by-step explanation:

16 = 160 - 16t²

16t² = 144

t² = 9

t = 3

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Answer:

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Step-by-step explanation:

Given

\frac{2}{3m^2n} * 4.5n^3

Required

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To start with; the two monomials have to be multiplied together;

\frac{2}{3m^2n} * 4.5n^3

Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}

Split the numerator and the denominator

Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}

Multiply Like terms

Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}

Divide 9 by 3 to give 3

Standard\ Form = \frac{3 * n^3}{m^2 * n}

Divide n³ by n to n²

Standard\ Form = \frac{3 * n^2}{m^2 }

Split fraction

Standard\ Form = {3 * n^2} * \frac{1}{m^2 }

From laws of indices;

\frac{1}{a^n} = a^{-n}

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Standard\ Form = {3 * n^2} * m^{-2}

Multiply all together

Standard\ Form = {3n^2} m^{-2}

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3 years ago
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3 years ago
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3 years ago
Find m Give explanation please
erik [133]

Answer: The measurement of ∠EFG is equal to 70°.

Step-by-step explanation:

Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:

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In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.

(6x - 10) + 38 = 7x + 18

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Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.

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