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tatyana61 [14]
3 years ago
14

Which of the follow if best describes AOR

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

C

Step-by-step explanation:

A major arc is an arc that is greater than 180 degrees.

A minor arc is an arc less than 180 degrees.

An acute angle is an angle less than 90 degrees.

A central angle is the angle created in the center of a circle with 2 sides being the radius.

<em>Thus, we can see in the figure that we are talking about the angle so we can eliminate major arc and minor arc.</em>

<em>Now, we clearly see that the angle is greater than 90 degree so it cannot be acute angle.</em>

<em />

The correct answer is central angle as it goes with the definition.

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Find the missing lengths: LK=15 and KH=9, find KI and HI.
Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

LH^2+KH^2=LK^2

(LH)^2+9^2=15^2

(LH)^2+81=225

(LH)^2=144

Taking square root on both sides.

LH=12

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

(KI)^2+15^2=(12+x)^2

(KI)^2+225=x^2+24x+144

(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

(KI)^2=x^2+9^2

(KI)^2=x^2+81...(2)

From (1) and (2) we get

x^2+81=x^2+24x-81

24x=162

x=\dfrac{162}{24}=6.75

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

(KI)^2=(6.75)^2+81

(KI)^2=126.5625

Taking square root on both sides.

KI=\sqrt{126.5625}

KI=11.25

Hence, the measure of KI is 11.25 units.

3 0
3 years ago
What is a counterexample for the statement the difference between two integers is always positive
Maru [420]

We have to give counter example for the given statement:

"The difference between two integers is always positive"

This statement is not true. As integers is the set of numbers which includes positive and as well as negative numbers including zero.

Consider any two integers say '2' and '-8'. Now, let us consider the difference between these two integers.

So, 2 - 8

= -6 which is not positive.

Therefore, it is not necessary that the difference of two integers is only positive. The difference of two integers can be positive, negative or zero.

3 0
3 years ago
How do you find the least common for 3 and 8?
sesenic [268]

The least common multiple of 3 and 8 is 24.

The least common multiple of two numbers is the lowest value number that is a multiple of both the numbers. To find the least common multiple of 3 and 8, you first list their multiples:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56...

When you compare the two lists of multiples, you can see that the number 24 is the lowest number that is a multiple of both 3 and 8, so it is their LCM, or least common multiple.


<em>HOPE THAT HELPS!!!!</em>

8 0
3 years ago
a box of national brand cornflakes is $2.09 for 12 ounces in a box of store label cornflakes is $3.09 with 20 ounces find the un
hichkok12 [17]
2.09/12 = 0.174...rounds to 17 cents per oz
3.09/20 = 0.154..rounds to 15 cents per oz
8 0
3 years ago
100 POINTS!!!
Y_Kistochka [10]

Answer:

<h2><u><em>D. 12/4 and 3/1</em></u></h2>

Step-by-step explanation:

What two ratios can be written for the following illustration comparing oranges to bunches of bananas? (image of 12 oranges and 4 bananas) A. 12/4 and 1/3 B. 4/12 and 3/1 C. 3/3 and 1/1 D. 12/4 and 3/1

12 oranges and 4 bananas is

12/4

semplify

3/1

7 0
2 years ago
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