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Zielflug [23.3K]
3 years ago
8

Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)

Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

Step-by-step explanation:

Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)

a)quotient property

b)power property

c)change of base rule

d)product property

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What type(s) of symmetry does the figure have? (Check all that apply.)
monitta

2 Answers:  A) line symmetry and B) rotational symmetry

=====================================================

Explanation:

We have line symmetry because we can draw a vertical line down the center, and this is a mirror line. One half folds over the vertical line to match up with the other half. There are other lines of symmetry as well.

We also have rotational symmetry because we can rotate the figure some amount of degrees and have it line up with its original image. The before and after will be identical. This applies to any regular polygon.

8 0
3 years ago
If the perimeter of an equilateral triangle is 30cm, find its area. ​
lora16 [44]

Answer:

A ≈ 43.3 cm²

Step-by-step explanation:

the area (A) of an equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ( s is a side of the triangle )

given perimeter = 30 cm , then

s = 30 cm ÷ 3 = 10 cm

then

A = \frac{10^2\sqrt{3} }{4} = \frac{100\sqrt{3} }{4} = 25\sqrt{3} ≈ 43.3 cm² ( to the nearest tenth )

7 0
2 years ago
Which graph has a slope of 4/5 ?
svlad2 [7]

Answer:

its B

Step-by-step explanation:

Its B

5 0
3 years ago
OperumONS UNTUI a) Find the greatest number that divides 36, 45 and 63 without leaving a remainder. b) c) Find the greatest numb
larisa86 [58]

Answer:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder is 9

b) The greatest number which exactly divides 90, 120, and 150 is 30

c) The greatest capacity of the bucket is 10 liters

d) The greatest number of people to whom the items can be distributed equally is 40 people

ii) 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) The greatest number of children to whom the 48 orange, 80 bananas, and 144 apples can be distributed equally is 16

ii) 3 oranges, 5 bananas and 9 apples each

f) 5 mangoes at a time from the basket containing 120 mangoes

7 mangoes at a time from the basket containing 168 mangoes

g) The greatest length of each squared marble is 2 m

Step-by-step explanation:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63, which is given as follows;

36 = 9 × 4

45 = 9 × 5

63 = 9 × 7

Therefore, The greatest number that divides 36, 45, and 63 without leaving a remainder  = The highest common factor of 36, 45, and 63 = 9

b) 90 = 30 × 3

120 = 30 × 4

150 = 30 × 5

The greatest number which exactly divides 90, 120, and 150 is 30

c) The factors of the volumes are;

50 l = 10 × 5 l

60 l = 10 × 6 l

70 l = 10 × 7 l

Therefore, the greatest capacity of the bucket = 10 liters

d) The masses of the items are

The factors of 80 = 40 × 2

120 = 40 × 3

160 = 40 × 4

Therefore the items can be distributed equally to 40 people

ii) Each person gets 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) 48 = 16 × 3

80 = 16 × 5

144 = 16 × 9

Therefore, the greatest number of children = 16

ii) Each child gets 3 oranges, 5 bananas and 9 apples

f) The factors of 120 = 24 × 5

168 = 24 × 7

Therefore;

The greatest number of mangoes which is to be taken out of the basket with 120 mangoes = 5 mangoes each (24 times)

The greatest number of mangoes which is to be taken out of the basket with 168 mangoes = 7 mangoes each (24 times)

g) The area of the floor = 12 m × 10 m = 120 m²

The factor of 120 m² which is a perfect square is 4 therefore, we have;

The side length of each squared marble, s = √4 = 2

The side length of each squared marble, s = 2 m

7 0
3 years ago
What is the total cost in dollars of 15 cheeseburgers ?<br><img src="https://tex.z-dn.net/?f=x%20%3D%204y" id="TexFormula1" titl
DedPeter [7]
60 because If you replace y with 15 you will multiply and then get 60
6 0
3 years ago
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