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balandron [24]
3 years ago
14

A flower pot’s base has six sides that are all the same length. Each side measures x−6x-6 units. The base’s perimeter is 78 unit

s. What is the value of x? Enter your answer in the box.
Mathematics
2 answers:
NemiM [27]3 years ago
6 0

Answer: The answer is x = 19.

Step-by-step explanation:  Given that a flower pot has a base with six equal sides of measurement (x - 6) units. We are to find the value of the unknown quantity 'x' if the perimeter of the base is 78 units.

We know that the perimeter of a polygon is given by the sum of the lengths of all the sides of the polygon.

Since each side of the six-sided base is (x - 6) units, so its perimeter will be

6\times(x-6)~\textup{units}.

According to the question, we have

6(x-6)=78\\\\\Rightarrow x-6=13\\\\\Rightarrow x=19.

Thus, the value of 'x' is 19 units.

tino4ka555 [31]3 years ago
4 0

Answer:The correct answer is 19

Step-by-step explanation: I took the test

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Please help, I need input on if I did this correctly and you just substitute.
kow [346]

The value of h(t) when t=\frac{15}{32} is 10.02.

Solution:

Given function h(t)=-16t^2+15t+6.5

To find the value of h(t) when t=\frac{15}{32}:

h(t)=-16t^2+15t+6.5

Substitute t=\frac{15}{32} in the given function.

$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5

            $=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5

Now multiply the common terms into inside the bracket.

           $=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

          $=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5

To make the denominator same, take LCM of the denominators.

LCM of 64 and 32 = 64

        $=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}

        $=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}

        $=\frac{-225+450+416}{64}

       $=\frac{641}{64}

       = 10.02

$h\left(\frac{15}{32} \right)=10.02

Hence the value of h(t) when t=\frac{15}{32} is 10.02.

8 0
3 years ago
Solve the equation.<br><br>5/7=10/x+2​
skelet666 [1.2K]

Answer:

x=-\frac{70}{9}

Step-by-step explanation:

Isolate the variable by doing operations to both sides of the equation.  

The work is shown below:

\frac{5}{7} =\frac{10}{x} +2\\\\\frac{5}{7} - 2=\frac{10}{x} +2 - 2\\\\-\frac{9}{7} = \frac{10}{x}\\\\ -\frac{9}{7}*x = \frac{10}{x}*x\\\\ -\frac{9}{7}x = 10\\\\ -\frac{9}{7}x * (-\frac{7}{9})= 10 * (-\frac{7}{9}) \\\\x=-\frac{70}{9}

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Scilla [17]

Answer:

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Step-by-step explanation:

PT and TQ are equal, so we can set up the equation like this: PT=TQ

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Answer:

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Step-by-step explanation:

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