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3 years ago

What is the measure of an exterior angle of a regular hexagon

Mathematics

2 answers:

vovangra [49]3 years ago

5 0

Answer:

it is 60 degrees

Step-by-step explanation:

Pepsi [2]3 years ago

3 0

You would divide 360 by 6 since there are 6 sides. Therefore each exterior angle is 60 degrees

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If f(x) = x2 + x, find f(-3). -12 3 6

ANEK [815]

Answer:

-9

Step-by-step explanation:

-3(2) + (-3)

-6 + (-3)

-9

4 0

2 years ago

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What is the perimeter of △RST?

amid [387]

Answer:

Step-by-step explanation:

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2 years ago

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murzikaleks [220]

Answer:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$\boxed{y=mx+b}$

where:

m is the slope.
b is the y-intercept (where the line crosses the y-axis).

Slope formula

$\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

Equation 1

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(-1, 6)$

$\textsf{Let }(x_2,y_2)=(0, 1)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5$

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=-5x+1$

Equation 2

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(1, 1)$

$\textsf{Let }(x_2,y_2)=(0, -4)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5$

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=5x-4$

Conclusion

Therefore, the system of linear equations shown by the graph is:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Learn more about systems of linear equations here:

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5 0

1 year ago

Read 2 more answers

Drag each symbol and number to the correct location on the inequality. Not all symbols and numbers will be used. Sam initially i

galben [10]

Answer:

$t \leq 18.67\ years$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=?\ years\\ P=\$4,500\\ A=\$7,020\\r=0.03$

The inequality that represented this situation is

$P(1+rt) \leq A$

substitute the values and solve for t

$4,500(1+0.03t) \leq 7,020$

$(0.03t) \leq (7,020/4,500)-1$

$t \leq [(7,020/4,500)-1]/0.03$

$t \leq 18.67\ years$

7 0

2 years ago

A student is considering publishing a new magazine aimed directly at owners of Japanese automobiles. He wanted to estimate the f

JulsSmile [24]

Answer:

Check Explanation

Step-by-step explanation:

a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence

0.29938661 < p(japan) < 0.46984416

mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.

b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.

c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).

0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.

Hope this Helps!!!

3 0

3 years ago