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3 years ago

PLEASE HELP WILL GIVE 50!!! POINTSSSS!!!!

Mathematics

1 answer:

zavuch27 [327]3 years ago

4 0

Answer:

$x=12$

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles (each angle measures 60 degrees)

In this problem we have a equilateral triangle

$AB=BC=AC$

Equate AB=BC

$(4x-10)=(3x+2)$

solve for x

$(4x-3x)=(10+2)$

$x=12$

<u><em>Verify the length of each side</em></u>

$AB=4x-10=4(12)-10=38\ units$

$BC=3x+2=3(12)+2=38\ units$

$AC=5x-22=5(12)-22=38\ units$

therefore

$AB=BC=AC$ ---> is correct

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3 years ago

Mr. Schordine wants to fill up enough helium balloons to allow him to fly through the skies. He weighs 84 kilograms. He knows th

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Answer:

There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

Step-by-step explanation:

First, we need to calculate the volume of each balloon by considering the balloons as a sphere:

$V = \frac{4}{3}\pi r^{3}$

Where:

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Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:

$N = \frac{1 m^{3}}{1 kg}*84 kg*\frac{1 balloon}{0.27 m^{3}} = 311.1 \: balloon$

Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

I hope it helps you!

6 0

3 years ago

Add the two expressions. 4.6x−3 and −5.3x+9 Enter your answer, in simplified form, in the box. PLEASE ANSWER FAST THIS IS A BIG

Ivan

To add the two expressions, we can write it as:

4.6x-3 + (-5.3x+9)

We can distribute the plus sign (which means just drop the parenthesis in this case):

4.6x-3-5.3x+9

Now, we can simplify by combining like terms:

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4 0

3 years ago

Read 2 more answers

The 2nd term in a geometic sequence is 20. the fourth term in the same sequence is 45/4 or 11.25. what is the common ratio in th

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Let x be the value of the third term.
Since it's a geometric sequence, then:
Third term/Second term = Fourth term/Third term
x/20 = 11.25/x
Cross multiplication:
x^2 = 225
x = 15
So since the ratio is constant, then it is
x/20 = 15/20 = 3/4
So the common ratio is 3/4 or 0.75.

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3 years ago

I need help with this pls.

Snowcat [4.5K]

Answer:

The answer is D

Step-by-step explanation:

Plug all of the numbers in and they all work with the problem.

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3 years ago