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4 years ago

Locate 1+√9.5 in the number line

1 answer:

4 0

We can easily know that √9 = 3, so √9.5 is just slightly bigger than 3 (~3.08__), so 1 + √9.5 should be slightly bigger than 4. If you want to point that number on the number line by hand, then you should just point it on number 4.

Hope you enjoyed it.

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Whats on top the food chain in the whole world

katen-ka-za [31]

Answer: Orcas, Polar Bears, Humans, it complicated

Step-by-step explanation:

It's a hard question to answer because there is going to be all sorts of technicalities, like whales or sharks, and many other species in the ocean or in Antartica. But since humans are one of the smartest living things in the world, along with again more technicalities, it just is theoretical that humans are on the top of the food chain. Because we still are discovering new species and things all over the world.

3 0

3 years ago

Read 2 more answers

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:

See The Image First

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

Description of the Picture:

You can use the Pythagorean to find the what the distance (the length b) 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 c). 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 a of the triangle (half of the length of the cord).

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

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

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

⇒ Solve for a 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 a 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 $a=9.6$

Answer: 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

3 years ago

Solve f - 6 = 3f + 1

LUCKY_DIMON [66]

Simplifying f + -6 = 3f + 1 Reorder the terms: -6 + f = 3f + 1 Reorder the terms: -6 + f = 1 + 3f Solving -6 + f = 1 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -6 + f + -3f = 1 + 3f + -3f Combine like terms: f + -3f = -2f -6 + -2f = 1 + 3f + -3f Combine like terms: 3f + -3f = 0 -6 + -2f = 1 + 0 -6 + -2f = 1 Add '6' to each side of the equation. -6 + 6 + -2f = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -2f = 1 + 6 -2f = 1 + 6 Combine like terms: 1 + 6 = 7 -2f = 7 Divide each side by '-2'. f = -3.5 Simplifying f = -3.5

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4 years ago

Read 2 more answers

Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 106 ft from camera 2, which was 133

Harrizon [31]

Correct Answer:
Option C. Camera 2

The greatest angle is always opposite to the side measure greater in length. So first we find the greatest side.

The distance between cameras is:

Camera 1 and Camera 2 : 106 feet
Camera 2 and Camera 3 : 133 feet
Camera 1 and Camera 3 : 151 feet

So the largest side of the triangle is the side between camera 1 and camera 3. So the camera opposite to this side will have to cover to greatest angle. The camera opposite to this side is Camera 2. This scenario is also shown in figure below.

Therefore, Camera 2 had to cover the greatest angle.

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3 years ago

Explain how your model for 3/5 minus 1/2 is different from your model for 3/5 minus 3/10

TEA [102]

It is different because to find out the answer, change all denominators to 10, since the LCD is 10. 6/10-5/10=1/10 6/10-6/10=0/10 1/10 is not equal to 0/10

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4 years ago

Locate 1+√9.5 in the number line​

Locate 1+√9.5 in the number line