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4 years ago

Find the measure of each interior angle of a regular octagon.

Mathematics

1 answer:

notka56 [123]4 years ago

8 0

ok, here the formula measure of each interior angle of regular n-gon

${180}^{0} - \frac{ {360}^{0} }{n}$

octagon ~ 8-gon, so

180° - 360°/8 = 135° (A)

for the sum, we just need multiply the formula above with n

nonagon ~ 9-gon

sum = 9(180° - 360°/9)

= 9(140°) = 1260 (C)

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The simple interest I ( in dollars) for a savings account is jointly proportional to the product of the time t (in years) and th

In-s [12.5K]

Answer:

Part a) The constant of variation is $r=0.0567$ or $r=5.67\%$

Part b) $I=\$662.03$

Step-by-step explanation:

Part a) Find the constant of variation.

we know that

The simple interest formula is equal to

$I=P(rt)$

In this linear direct variation the constant r represent the constant of proportionality

where

I is the Interest 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

$t=5/12\ years\\ P=\$3,892\\ I=\$92\\r=?$

substitute the values and solve for r

$92=3,892(r(5/12))$

$r=(92*12)/(3,892*5)$

$r=0.0567$

Part b) what will the interest be after 3 years

in this part we have

$t=3\ years\\ P=\$3,892\\ I=?\\r=0.0567$

substitute the values

$I=3,892(0.0567*3)=\$662.03$

5 0

3 years ago

Write the standard form equation of the line through the given points. through (0.-4) and (-3,-2)

Alexxx [7]

Answer:

The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is $\frac{2}{3}x+y=-4$

Step-by-step explanation:

The standard form of equation is $Ax+By=C$

Finding slope

Using the given points (0,-4) and (-3,-2) we can find slope using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

$Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}$

Finding y-intercept

Using point (0,4) and Slope=-2/3 we can find y-intercept

$y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4$

The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:

$y=mx+b\\y=-\frac{2}{3}x-4$

Now, standard form of equation will be: $\frac{2}{3}x+y=-4$

So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is $\frac{2}{3}x+y=-4$

4 0

3 years ago

The moon takes 28 days to orbit around the earth going at a distance of 2,413,000. How many kilometers does it take for the moon

Mazyrski [523]

Answer:

As per the statement;

The moon takes 28 days to orbit around the earth going at a distance of 2,413,000 km

From the above information,

The ratio between Distance and Days is; $\frac{2413000}{28}$

then,

the distance it takes for the moon to travel one day of its orbit around the earth we have;

$\frac{2413000}{28} \times 1 = \frac{2413000}{28}=86178.57$ km.

Therefore, the distance in kilometer does the moon cover in 1 day is 86178.57 km

8 0

3 years ago

Read 2 more answers

A scuba diver is swimming at a depth of -8

ICE Princess25 [194]

Answer:

-24 feet.

Step-by-step explanation:

To find this, we need to multiply -8 and 3. This gets us -24. That means the coral reef is -24 feet. I hope this helps!

3 0

3 years ago

Can somebody help me out with this please?

Yuki888 [10]

7 I hope this helps!

7 0

4 years ago