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3 years ago

11

Which of the following numbers is a COUNTEREXAMPLE to the statement "All odd numbers greater than 2 are prime numbers" ? 2 3 5 7

9

1 answer:

GuDViN [60]3 years ago

5 0

9 would be ur answer....because 9 is an odd number greater then 2, but it is not a prime number

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An expression containing a square or higher root is called

Lady bird [3.3K]

Answer:

radical expression

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

34. A vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder The diameter

Nostrana [21]

Answer:

$V=20.85\ m^3$

Step-by-step explanation:

Given that,

The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.

The diameter of the sphere is 3.5 m.

The height of the cylinder is 2 m

Height of the cylinder = Height of bowl− Radius of hemisphere

= 2 - (3.5/2)

= 0.25 m

The volume of the vessel is given by :

V = volume of hemispherical bowl + volume of cylinder

So,

$V=\dfrac{2}{3}\pi r^3+\pi r^2 h\\\\V=\dfrac{2}{3}\times \dfrac{22}{7}\times (\dfrac{3.5}{2})^3+\dfrac{22}{7}\times (3.5)^2\times 0.25\\\\V=20.85\ m^3$

So, the volume of the vessel is $20.85\ m^3$ .

5 0

2 years ago

You join an Internet service. You get the first 5 hours for free, and then you pay $2 per hour. How many hours of Internet use,

Vika [28.1K]

Answer:

27

Step-by-step explanation:

firstly we know we get 5 hour free so we know that when we add our total it will go up by 5. an easy way to do the equation is to take 45 and divide by two because we are essentially paying two of our 45 dollars every hour. this means that we will get half the amount we pay in hours. 45/2 =22.5 (do not round up because you will only get what you pay for and if you cant pay for a full hour you just do not get it) 22+5=27. so you get 27 hours of internet.

5 0

2 years ago

A circle has a diameter of 25cm. How far from the centre of this circle is a chord 16cm long? Draw a picture before you start.

yan [13]

Answer:

The cord is 9.6 cm away from the centre of the circle.

Step-by-step explanation:

<u>See The Image First</u>

The image below shows a picture of everything that’s given, labeled, and drawn in the circle.

<u>Description of the Picture:</u>

You can use the Pythagorean to find the what the distance (the length <em>b</em>) the cord is from the center. You can use the radius as the hypotenuse. The radius is half of the diameter, and the diameter is 25. So the radius is 12.5, which means that 12.5 is the hypotenuse of the triangle (also known as side <em>c</em>). The whole length of the cord is 16cm long, and we can use half of the cord, which is 8cm, for the triangle. So we know two sides already: the hypotenuse (the radius) and the length <em>a</em> of the triangle (half of the length of the cord).

<u>To Solve (variables </u><em><u>a</u></em><u>, </u><em><u>b</u></em><u>, and</u><em><u> c</u></em><u>, are in italics so you don’t get confused):</u>

⇒ Use the formula of the Pythagorean Theorem ( $a^{2}+b^{2}=c^{2}$ ), where <em>b </em>is the length of the distance from the cord to the centre of the circle (what we need to find out), <em>a </em>is the length of the side of the triangle (half of the cord size – 8cm), and <em>c </em>is the hypotenuse (the radius – 12.5cm). So plug the given values of <em>b</em> and <em>c</em> into the formula:

$a^{2}+8^{2}=12.5^{2}$

⇒ Solve for <em>a </em>by simplify:

$a^{2}+64=156.25$

⇒ Subtract 64 from both sides:

$a^{2}=92.25$

⇒ Find the square root of both sides to get<em> a</em> by itself:

$\sqrt{a^{2}}=\sqrt{92.25}$

⇒ Simplify to get:

$a=\sqrt{92.25}$ which convert’s to $a=9.60468635...$ round the answer to the nearest tenth is $a=9.6$

<u />

<u>Answer:</u> The cord is 9.6 cm away from the centre of the circle.

I hope you understand and that this helps with your question! :)

8 0

2 years ago

He probability that a randomly selected person refused to answer is 0.162. (do not round until the final answer. then round to

4vir4ik [10]

No.

This rate of refusals seems quite low, actually. Some polls are lucky to get a 50% answer rate.

3 0

3 years ago