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choli [55]
3 years ago
14

Can a triangle be formed with side lengths 15, 20, and 24? Explain.

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

According to triangle inequality, the sum of any two side must be greater than the third side. So we take the two smallest side and find the sum

15 + 20 > 24

YES it can

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Y = 5 and x = -1<br> Is it parallel,perpendicular or neither
Sauron [17]

Answer: Perpendicular

y = 5 is a horizontal line through 5 on the y axis

x = -1 is a vertical line through -1 on the x axis

4 0
2 years ago
A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. Th
sweet-ann [11.9K]

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

s = \dfrac{60}{12}

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours

To minutes;

= 3 \times \dfrac{60}{10} \ minutes

= 18 minutes

3 0
3 years ago
Sara goes on a slingshot ride in an amusement park. She is trapped into a spherical ball that has a radius of 3•100 centimeters.
tankabanditka [31]

Answer: <em>1.1 × 10⁸ cm³</em>


Explanation:


1) Since the ball is spherical, you use the volume formula for a sphere, which is:


Volume = [4/3] π r³


2) r is the radius, which is given and is equal to 3×100cm = 300cm


3) Pluging in the value of r, you get:


Volume = [4/3] π (300 cm)³ = 113,097,335.53 cm³


4) Since, r = 3×100 cm has two significant figures, the result must show only two significant figures.


So, using scientific notation, the right answer must be reported as:<em> 1.1 × 10⁸ cm³</em>

4 0
4 years ago
Hey I’m struggling with number 13 so please show your work. Thx
Dafna11 [192]

Answer:

\frac{5}{12}

Step-by-step explanation:

Because \frac{3}{5} is being multiplied by S, we can divide \frac{3}{5} from both sides of the equation. This will give us:

\frac{1}{4}÷\frac{3}{5}

But, that looks a bit hectic. Instead of dividing, you can multiply by the reciprocal (which is essentially how to divide fractions). So, instead of \frac{1}{4}÷\frac{3}{5}, you get:

\frac{1}{4}×\frac{5}{3}

When multiplying fractions, remember you can just multiply straight across-- numerator x numerator, then denominator x denominator.

By doing that, you get the fraction \frac{5}{12}

\frac{5}{12} cannot be simplified any more, so S=\frac{5}{12} is your answer :)

I hope this helps

6 0
4 years ago
Aiko jumped rope for an amazing 20 minutes. She stoped at 8:05. When did she start jumping?
marissa [1.9K]
If she stopped at 8;05, and she started 20 minutes earlier, just imaging a clock at 8:05 and turn back time 20 minutes.

Five minutes would be 8:00, ten minutes is 7:55, fifteen minutes is 7:50, and twenty minutes is 7:45. This, she started at 7:45
4 0
3 years ago
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