1 year ago

Solve the linear equation for x -4.8(6.3x-4.18) =-58.56 X=

Mathematics

1 answer:

lyudmila [28]1 year ago

4 0

Answer:

x= 2.6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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C

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1 year ago

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing

tester [92]

The length of pendulum is 2.485 feet

<h3>Solution:</h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

Therefore, the given formula is:

$T=2\pi \sqrt{\frac{L}{32} }$

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

$T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8$

Substitute T = 1.75 seconds and $\pi = 3.14$

$L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485$

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2 years ago

Cherries cost $5.68 a pound. Will $20 be enough to buy a 4.1-pound bag of cherries? Explain how to determine whether $20 is the

Elanso [62]

The $20 estimate is too low. $5.68 was incorrectly rounded down. It should have been rounded up to $6. The correct estimate should have been $24, so $20 will not be enough to buy 4.1 pounds of cherries

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