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3 years ago

The polygon below is a regular hexagon. What is the approximate length of the apothem? Round to the nearest tenth.

Mathematics

2 answers:

grigory [225]3 years ago

3 0

Answer:

Step-by-step explanation:

Inside the figure is a right triangle with hypotenuse 18 cm. Its height is half the measure of the side length. 18.2 is 9 cm. Using 9 cm and 18 cm, substitute the values into the Pythagorean theorem.

$a^2 + b^2 = c^2\\9^2 + b^2 = 18^2\\81 + b^2 = 324\\b^2 = 243\\b = 15.6$

devlian [24]3 years ago

3 0

Answer:

Step-by-step explanation:

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Select the expressions that are polynomials.

wolverine [178]

I believe the first and last one are polynomials. Usually they start with the highest exponent first and then work their way down.

3 0

3 years ago

Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2

Vlad [161]

Answer

B) y = 3

Step-by-step explanation

Given the system of equations:

$\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}$

Isolating x from equation 1:

$\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}$

Substituting equation 3 into equation 2 and solving for y:

$\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}$

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11 months ago

A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 deg

solong [7]

Answer:

3 hours

Step-by-step explanation:

The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.

60 - 45 = 15 degrees

Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees

15 / 5 = 3 hours

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2 years ago

WORTH 100 POINTS need the answers asap

Lena [83]

Answer:

$f(x) = x^2 , x < 2$

$f(x) = 5, 2\leq x < 4$

Step-by-step explanation:

We have a parabola and a small line shown in the graph.

The parabola goes upto x = 2 but does not reach that very value. So x = 2 starts on the line above where x = 2 and ends just before x = 4.

Therefore, this function can be modeled by:

$f(x) = x^2 , x < 2$

$f(x) = 5, 2\leq x < 4$

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3 years ago

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How do you convert fractions to decimals and percents

Levart [38]

Well when you convert fractions to decimals, you simply divide the numerator by the dominator.
To convert decimals to percents, you take the fraction and divide the numerator by the dominator and times that by 100.
For example, 4/25*100=16%

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3 years ago