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lord [1]
3 years ago
8

4:3 and 25:45 are equal ratios. True or false ?

Mathematics
1 answer:
gregori [183]3 years ago
6 0
False. When simplified, 25:45 is equal to 5:9. Therefore, the two ratios are not equal
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How to simplify an expression with a negative exponent
svetlana [45]

Answer:

Step-by-step explanation:

An negative exponent seems hard, but it really isn't!

Let's say you have 2^{-3}

All you do is inverse the expression, or find the reciprocal. When you do this the exponent changes to positive .  

\frac{1}{2^{3} }

2^{3} simplifies into 8. So, the result is

\frac{1}{8}

Hope this helps! Please mark as brainliest, thanks!

4 0
3 years ago
#7-9 please help with an explanation,, will mark brainliest
Mandarinka [93]

Answers:

<h2>7. 12</h2><h2>8. -√18</h2><h2>9. √220</h2>

Step-by-step explanation:

To find out which is greater, we must eliminate the radical symbol.

#7

\sqrt{88} = 9.38083151965

9.4 < 12

#8

-\sqrt{18} = -4.24264068712

-4.2 > -6

#9

\sqrt{220} = 14.8323969742

14.5 < 14.8

I'm always happy to help :)

8 0
3 years ago
The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid
Xelga [282]

Answer:

6 x^2*\sqrt{3}

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: \frac{base*height}{2} = \frac{2x*height}{2}

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures x\sqrt{3}, so replacing this value in the formula above for the area of one of the triangles:

\frac{2x*height}{2}= \frac{2x*x\sqrt{3} }{2}=x^2\sqrt{3}

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):

Area of hexagon = 6x^2\sqrt{3}

which is the last option given in the list.

5 0
3 years ago
Read 2 more answers
What is the volume of a cylinder with a radius of 4cm and a height of 8cm
MissTica

Answer: V=πr^2h=π·4^2·8≈402.12386cm^2

6 0
3 years ago
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I don't really understand slope. I mean I sorta do and I sorta don't. I don't know how to determine the rate of change, unless i
ira [324]
<span>The slope of a line tells us how something changes over time. If we find the slope we can find the </span>rate of change<span> over that period </span>of change means.  
A great website that could help you understand this is http://www.algebra-class.com/rate-of-change.html. But I can help you with this.
3 0
3 years ago
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