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umka2103 [35]
2 years ago
12

Geometry math question please help

Mathematics
1 answer:
stiks02 [169]2 years ago
5 0

You need this key result: in any polygon, the sum of the interior angles is

(n-2)\times 180

where n is the number of sides of the polygon.

Your polygon has seven sides, and the measures of all angles are given. So, we can write

2x+4x+4x+4x+4x+2x+10x = (7-2)\times 180

Again, we've simply written that the sum of all interior angles is the number of sides, minus two, times 180.

We can simplify both sides: we sum like terms on the left hand side, and we easily compute the right hand side:

30x = 5\times 180 = 900

and we can solve this equation for x by dividing both sides by 30:

x = \cfrac{900}{30} = 30

Finally, the required angles is 2x = 2\times 30 = 60

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Find the volume of the cylinder. Use 3.14 for Pi. Round your answer to the nearest hundredth.the height is 13 and the radius is
NikAS [45]

Answer:

The volume of the cylinder is 2002 square units.

Step-by-step explanation:

It is given that,

Height of the cylinder, h = 13 units

Radius of the cylinder, r = 7 units

We need to find the volume of the cylinder. The formula of the volume of cylinder is given by :

V=\pi r^2 h\\\\V=\dfrac{22}{7}\times 7^2 \times 13\\\\V=2002\ \text{unit}^2

So, the volume of the cylinder is 2002 square units.

4 0
3 years ago
What’s the ratio for 40 and 64
NARA [144]

Answer:

5/8, 5:8, or 5 to 8

Step-by-step explanation:

you have to simplify the ratio so you have to figure out what 40 and 64 have in common. tho right away you can assume that they both have 2 in common bcz they are both even so you can divide them both by two and get 20/32, and then you can do it again bcz they are both even again and get 10/16, and then you can do it again bcz they are also both even and get 5/8. now 5 is a prime number so you cant divide it any further so you stop it there. and i put three answers bcz there are three ways to write a ratio

6 0
3 years ago
The probability that a rental car will be stolen is. 4. if 3500 cars are rented, what is the approximate poisson probability tha
kozerog [31]

Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

The parameters are:

  • x is the number of successes
  • e = 2.71828 is the Euler number
  • \mu is the mean in the given interval.

The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:

\mu = 3500 \times 0.0004 = 1.4

The probability that 2 or fewer cars will be stolen is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466

P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452

P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417

Then:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335

0.8335 = 83.35% probability that 2 or fewer will be stolen.

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

4 0
1 year ago
Evaluate the expression for s = -2.<br> -15s2 - 9-5 + s) =
Fudgin [204]

Answer:

123

Step-by-step explanation:

s=-2

-15s^2-9(-5+s)

=-15s^2+45-9s

=-15s^2-9s+45

=15(-2)^2-9×(-2)+45

=15×4+18+45

=60+18+45

=123

6 0
2 years ago
PLEASE HELP ITS AN EMERGENCY
kirill [66]

Answer:

the answer is d

Step-by-step explanation:

3 0
2 years ago
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