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3 years ago

A state seal, which is round, hangs in the capitol building. It has a diameter of 4 meters. What is the seal's radius?

1 answer:

3 0

Hi!

The diameter is the length across the perimeter of the circle, while the radius is the length from the perimeter to the center. This makes it so the radius is always half of the diameter.

So to figure out the answer to this, you just have to split 4 in half.

4 ÷ 2 = 2

Answer: The radius is 2 meters

Hope this helps :)

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John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper

Setler79 [48]

Answer:

$f(x)=\dfrac{9}{5}x+32$ converts Celsius to Fahrenheit.

$g(x)=\dfrac{5(x-32)}{9}$ converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

$\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}$

Let the expression for the function be

$f(x)=ax+b$

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

$68=20a+b\\ \\86=30a+b$

Subtract these two equations:

$86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}$

Substitute it into the first equation:

$68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32$

So,

$f(x)=\dfrac{9}{5}x+32$

This is the function which converts Celsius to Fahrenheit.

And function

$g(x)=\dfrac{5(x-32)}{9}$ converts Fahrenheit to Celsius.

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3 years ago

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If a triangle has the same base and height will it have the same area

emmasim [6.3K]

Answer:

Yes

Step-by-step explanation:

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A group of 85 people were asked whether or not they prefer a bagel or a muffin for breakfast and whether or not they prefer milk

gladu [14]

Answer:

The answer(s) would be WY/WZ, or WYZ (If this is multiple choice)

Step-by-step explanation:

The reasoning is that in the "IRL Equation" the polls showed that orange juice was prefered over milk, and didn't matter whether they wanted a bagel or muffin. All that matters in this equation is that it is one sided (For the 1st poll that is) and now you are able to narrow down the possibilities of the answer(s).

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3 years ago

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fenix001 [56]

Answer:

$3 {x}^{2} - 16x + 16 \\ 3 {x}^{2} - 12x - 4x + 16 \\ 3x(x - 4) - 4(x - 4) \\ (3x - 4)(x - 4)$