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MrRissso [65]
3 years ago
7

The sum of the interior angles of a polygon is 540°. How many sides does the polygon have?

Mathematics
1 answer:
8090 [49]3 years ago
7 0
The answer is B. 5 !
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Which expression is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the thi
zaharov [31]

The expression is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power is; Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power

<h3>How to solve exponents?</h3>

We want to find the expression that is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power.

The sentence above can be expressed as;

((1.5⁵)/(0.7⁴))³

This can be broken down into;

[1.5^(5 * 3)]/(0.7^(4 * 3))

1.5¹⁵/0.7¹²

Looking at the options, the only correct one is;

Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power

Read more about Exponents at; brainly.com/question/11975096

#SPJ1

3 0
2 years ago
6. The vertices of ALMN are L(7,4), M(7,16), and
max2010maxim [7]

Answer:

(a) LM=12 units, LN=35 units, MN=37 units

(b)8 84 units

(c) 210 square units

Step-by-step explanation:

(a)

Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane

Length LM=\sqrt {(7-7)^{2}+(16-4)^{2}}=12 units

Length LN=\sqrt {(42-7)^{2}+(4-4)^{2}}=35 units

LengthMN=\sqrt {(42-7)^{2}+(4-16)^{2}}=37 units

Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where

MN=\sqrt {(LN)^{2}+(LM)^{2}}=\sqrt {(12)^{2}+(35)^{2}}=37 units

Therefore, the lengths LM=12 units, LN=35 units and MN=37 units

(b)

Perimeter is the distance all round the figure

P=LM+LN+MN=12 units+35 units+37 units=84 units

(c)

Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units

Therefore, A=0.5*12*35= 210 square units

4 0
2 years ago
What is the range of this set of data?<br> 111.97, 63, 84, 100, 119,72
Reika [66]

Answer:

56

Step-by-step explanation:

The range of a data set is the difference between the largest and the smallest values in that data set. In this case, the largest value in the data set is 119, and the smallest is 63. 119-63=56, which is the range. Hope this helps!

3 0
3 years ago
Read 2 more answers
Ann's watch runs 2 minutes per hour too slow. Beth's watch runs 1 minute per hour too fast. For example, if both watches were co
Elenna [48]

Answer:

8 am Monday

Step-by-step explanation:

The difference between the two watches is  2+1= 3 minutes.

It would take 60/3 = 20 hours to have a difference of 60 minutes.

From noon Sunday it would be more 20 hours the earliest time there would be a difference of one hour between the two watches' time.

12 noon + 20 hours=  8 am Monday

7 0
3 years ago
Simplify the expression.<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B1%5D%7B10%7D" id="TexFormula1" title="\sqrt[1]{10}" alt
Hunter-Best [27]
The answer would just be 10 :)
7 0
3 years ago
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