All categories

1 year ago

Is the following statement a good definition? Why? An obtuse angle is an angle whose measure is greater than 90°.

1 answer:

8 0

180° measures more than 90°, so according to the given statement, a plane angle is also an obtuse angle, and that is incorrect. From that, we conclude that the statement is not a good definition.

<h3>Is the following statement a good definition? </h3>

The given statement is:

"An obtuse angle is an angle whose measure is greater than 90°."

This is the common, but incorrect, definition for obtuse angles.

We know that an angle that measures 180° is called a plane angle and by definition, a plane angle is not an obtuse angle.

And the angles larger than 180° (and smaller than 360°) are the reflex angles.

Now, 180° measures more than 90°, so according to the given statement, a plane angle is also an obtuse angle, and that is incorrect. From that, we conclude that the statement is not a good definition.

If you want to learn more about obtuse angles:

brainly.com/question/5023725

#SPJ1

You might be interested in

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. Thi

Dovator [93]

Complete question:

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby this mention is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect so the probability of a girl is 0.5. Assume that the group consists of 36 couples.

A) Find the mean and standard deviation for the number of girls in groups of 36 births.

B) Use the range rule of thumb to find the values separating results that are significantly low and significantly high.

C) Is the result of 33 girls significantly high? A result of 33 girls would suggest the method is effective or is not effective?

Answer:

a) mean = 18

Standard deviation =3

b) low range = 12

High range = 24

c) The result of 33 girls is significantly high. Yes, the method is effective.

Step-by-step explanation:

Given:

p = 0.5

n = 36

a) The mean is the product of n and p

Mean u = np

u = 36 * 0.5 = 18

The standard deviation is the square root of the product of n and p&q.

S.d ó = $\sqrt{npq}$

$= \sqrt{np(1-p)}$

$= \sqrt{36(0.5)(1-0.5)} = \sqrt{9} = 3$

b) To find the range rule of thumb:

• For low range

Low range = u - 2ó

= 18 - (2 * 3)

= 12

• High range

= u + 2ó

= 18 + (2*3)

= 24

c) The result is significantly high, because 33 is greater than 24 girls.

A result of 33 girls would prove the method as effective.

8 0

2 years ago

WORTH 20

Viktor [21]

(2·3.5 + 4·3.25 + 2·1.9 + 1·1.2)·(1 - 0.05) = $23.75

5 0

2 years ago

Are the following ordered pairs in a proportional relationship? (2,3) and (10,16)

gavmur [86]

The answer A yes (2.3)

8 0

2 years ago

Read 2 more answers

Same as my other question If one kilogram is 2.2 pounds. How many kilograms is 5.5 pounds?

Dvinal [7]

Answer:

2.5 kilograms

Step-by-step explanation:

Since 2 kilograms would be 4.4 pounds, subtract 4.4 from 5.5.

Then, you'd get 1.1

So, since 1.1 is half of 2.2, you can assume that 1.1 is half of a kilogram.

Then, add half a kilogram with 2 kilograms to get 2.5 kilograms.

Hope this helps!

3 0

2 years ago

Explain how the Quotient of Powers Property was used to simplify this expression.

Strike441 [17]

Answer:

$\frac{5^{4}}{25} = 25$

Step-by-step explanation:

I'm not sure if you had a typographical error with this statement, "5 to the fourth power, over 25 = 52."

According to the <u>Quotient Rule of Exponents</u><u>:</u>

$\frac{a^{m}}{a^{n}} = a^{(m-n)}$

Method 1:

In order for you apply the Quotient Rule, the base must be the same. Since 5 is a factor of 25, then you could rewrite 25 as 5². Doing so will give you the following exponential expression:

$\frac{5^{4}}{5^{2}} = 5^{(4 - 2)} = 5^{2} = 25$

Method 2:

Even if you solve the given problem manually, you'd still get the same answer:

$\frac{5^{4}}{25} = \frac{5*5*5*5}{25} = \frac{625}{25} = 25$

Both methods produced the same result, proving that the correct answer is 25.

Please mark my answer as the Brainliest, if you find this helpful :)

3 0

2 years ago