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3 years ago

What is the sum of interior angels of an octagonal box?

Mathematics

2 answers:

Gala2k [10]3 years ago

8 0

8-2=6
180×6=1080 degrees
sum of interior angle of an octagonal box = 1080 degrees

Elodia [21]3 years ago

7 0

Just like any regular polygon, to find the interior angle we use the formula 180(n–2) For an octagon, <span>n=8. (n=the number of sides of the polygon; a polygon is a shape with 3 or more sides) T</span><span>he sum of interior angles of an octagon=(n-2)*180 degrees </span><span>=(8-2)*180 degrees </span><span>= 6*180 degrees </span><span>=1080 degrees.

Hope this helps xox :)</span>

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A red die is tossed and then a green dieis tossed. What is the probability thatthe red die shows a six or the green dieshows a s

mr_godi [17]

Let's call the event of the red die to show a six as event A, and the event of the green die to show a six as event B.

The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes. On both dices, we have 6 possible outcomes(the numbers from 1 to 6), with one favourable outcome(the number 6), therefore, the probabilities of those events are:

$P(A)=P(B)=\frac{1}{6}$

Each roll is independent from each other, then, the probability of both events happening simultaneously is given by their product:

$P(A\:and\:B)=P(A)P(B)$

Using the additive rule of probability, we have the following equation for our problem:

$\begin{gathered} P(A\:or\:B)=P(A)+P(B)-P(A\:and\:B) \\ =P(A)+P(B)-P(A)P(B) \\ =\frac{1}{6}+\frac{1}{6}-\frac{1}{6^2} \\ =\frac{2}{6}-\frac{1}{36} \\ =\frac{12}{36}-\frac{1}{36} \\ =\frac{12-1}{36} \\ =\frac{11}{36} \end{gathered}$

the probability that the red die shows a six or the green die shows a six is 11/36.

7 0

1 year ago

Please understand the explanation

aivan3 [116]

<em> $answer = 12.56 \: square \: km\\ radius = 4km \\ area \: of \: quarter \: circle = \frac{\pi {r}^{2} }{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3.14 \times {4}^{2} }{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3.14 \times 16}{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 12.56 \: square \: km \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment$ </em>

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3 years ago

Point Q' is the image of Q(-4, 7) under a translation by 4 units to the right and 2 units down.

Reil [10]

Answer:

Q' ( 0,5)

Step-by-step explanation:

Q(-4, 7)

To shift to the right, add the amount to x

x+4

To shift down, subtract from y

y -2

Q' ( -4+4, 7-2)

Q' ( 0,5)

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2 years ago

In the right ΔABC, AN is the altitude to the hypotenuse. Find BN, AN, and AC, if AB=2√5 in and NC= 1 in.

kipiarov [429]

Answer:

$BN=4\ \text{in}$

$AN=2\ \text{in}$

$AC=\sqrt{5}\ \text{in}$

Step-by-step explanation:

Let $BN=x$

$BC=c$

$NC=y=1\ \text{in}$

$AB=a=2\sqrt{5}\ \text{in}$

$AC=b$

We have the relation

$\dfrac{BC}{AB}=\dfrac{AB}{BN}\\\Rightarrow \dfrac{c}{a}=\dfrac{a}{x}\\\Rightarrow c=\dfrac{a^2}{x}\\\Rightarrow x+1=\dfrac{a^2}{x}\\\Rightarrow x^2+x=20\\\Rightarrow x^2+x-20=0\\\Rightarrow x=\frac{-1\pm \sqrt{1^2-4\times 1\times \left(-20\right)}}{2\times 1}\\\Rightarrow x=4,-5$

$\boldsymbol{BN=4\ \text{in}}$

$h=\sqrt{a^2-x^2}\\\Rightarrow h=\sqrt{(2\sqrt{5})^2-4^2}\\\Rightarrow h=2\ \text{in}$

$\boldsymbol{AN=2\ \text{in}}$

$b=\sqrt{h^2+y^2}\\\Rightarrow b=\sqrt{2^2+1^2}\\\Rightarrow b=\sqrt{5}\ \text{in}$

$\boldsymbol{AC=\sqrt{5}\ \text{in}}$

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2 years ago

A city water company charges homeowners based on how much water they use in thousands of gallons. The company progressively char

Dima020 [189]

Answer:

1700: $50
2000: $60
7000: $90

Step-by-step explanation:

You can read the answers from the graph. Find the usage on the horizontal scale, and look at the vertical scale to find the corresponding charge.

<h3>1700 gallons</h3>

The value 1700 is between 1000 and 2000, so will be between 1 and 2 on the horizontal scale. The graph is flat in that region. The charge is $50.

<h3>2000 gallons</h3>

The graph has a jump at 2 on the horizontal scale. The solid dot tells you that the charge is $60.

<h3>7000 gallons</h3>

At 7 on the horizontal scale, the graph is increasing from 80 to 100. At 7000 gallons, the line passes through the grid intersection indicating the charge is $90.

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2 years ago