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Snowcat [4.5K]
3 years ago
14

Ariel weighed an object on her balance and recorded a mass of 23.9 grams. Her teacher told her that there was obviously somethin

g wrong with her balance because it was giving her a reading which was 30.4% too high. What was the actual mass of the object?
Mathematics
1 answer:
kondaur [170]3 years ago
7 0

Answer:

<u>Rounded:</u> 16.34

Step-by-step explanation:

The OG(original) mass is 23.9 grams.

30.4% is too high of the actual mass.

Find out 69.6% of 23.9.

Set up problem.

    x            69.6%                  

______ = ______

 23.9          100%

Find x.

69.6 x 23.9 = 1,663.44

1,663.44/100 = 16.344

= 16.344

Not sure if this is correct but I tried my best. :)

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Please help!!! I would like an explanation along with your answer. Thanks
Tpy6a [65]

Answer:

11.2 feet

Step-by-step explanation:

The two furthest corners of the bed are at (8, 6) and (5, 10).  To determine which is the furthest from the origin, use the distance formula.

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((8 − 0)² + (6 − 0)²)

d = 10

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((5 − 0)² + (10 − 0)²)

d = 5√5

d ≈ 11.2

Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.

8 0
3 years ago
I need help with this please the answers I can choose from are
STatiana [176]

Sum of interior angles of a △ = 180°

∴ ∠T + ∠V + ∠U = 180°

⇒ 37° + 63° + X° = 180°

⇒ X° + 100 = 180°

⇒ X° = 180° - 100°

⇒ X° = 80° (D).

5 0
3 years ago
The best answer gets brainliest
faltersainse [42]

Answer:

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Step-by-step explanation:

Sure friend what do you need help with? I will help you

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Answer:

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Step-by-step explanation:

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2 years ago
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What is the square root of 95.54
vladimir2022 [97]
Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...

They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..

A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:

x-(f(x)/(df/dx))

In a square root problem you wish to know:

x=√n  where x is the root and n is the number

x^2=n

x^2-n=0

So f(x)=x^2-n and df/dx=2x so using the definition of the newton approximation you have:

x-((x^2-n)/(2x)) which simplifies further to:

(2x^2-x^2+n)/(2x)

(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)

In this case the number, n=95.54, so a decent starting value for x would be 10.

Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.

10, 9.777, 9.774457, 9.7744565, 9.7744565066299210578124802523397

The calculator result for my calc is: 9.7744565066299210578124802523381

So you see how accurate the newton method is in just a few iterations. :P


5 0
3 years ago
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