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Leni [432]
3 years ago
15

The steps used by Taylor to solve the equation 3(x - 2) = 6(2x + 1) + 6 are shown below:

Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0
Both A and C are used within this problem. Distributing happens in the first and second step. Also, Inverse operations are used in nearly every step that is solving. 
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What are the central angles of the sectors representing nuclear energy in both the years?( you may round the numbers before find
xeze [42]

Answer:

1995 => 22°

2005 => 36°

Step-by-step explanation:

Central angle of the sector representing nuclear energy in 1995 = percentage of nuclear energy in 1995 ÷ 100 × 360°

Nuclear energy is approximately 6% (rounded to whole number) in 1995.

Central angle = \frac{6}{100}*360 = \frac{6}{10}*36

= \frac{216}{10} = 21.6

Central angle representing nuclear energy in 1995 ≈ 22° (nearest whole number).

Central angle of the sector representing nuclear energy in 2005 = percentage of nuclear energy in 2005 ÷ 100 × 360°

Nuclear energy is approximately 10% (rounded to whole number) in 1995.

Central angle = \frac{10}{100}*360 = \frac{1}{1}*36

= \frac{36} = 36

Central angle representing nuclear energy in 2005 = 36°.

7 0
3 years ago
A patio was to be laid in a design with one tile in the
Vlada [557]

Answer:

10

Step-by-step explanation:

The number of tiles in the design is 1 + 2 + 3 + ...

We can model this as an arithmetic series, where the first term is 1 and the common difference is 1.  The sum of the first n terms of an arithmetic series is:

S = n/2 (2a₁ + d (n − 1))

Given that a₁ = 1 and d = 1:

S = n/2 (2(1) + n − 1)

S = n/2 (n + 1)

Since S ≤ 60:

n/2 (n + 1) ≤ 60

n (n + 1) ≤ 120

n must be an integer, so from trial and error:

n ≤ 10

Mr. Tong should use 10 tiles in the final row to use the most tiles possible.

7 0
3 years ago
Hello please help i’ll give brainliest
exis [7]
Geosphere and biosphere
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3 years ago
Which is the graph of a quadratic equation that has a positive discriminant?
masya89 [10]
If the discriminant is positive,that means that there are roots that are real and therefore, when y=0, the roots are there and for the quadratic to meet it has to go down (or up if in ax²+bx+c a is negative). If the discriminant is 0, that means that since the x value of the vertex is -b/2a and if you have
x=\frac{-b+-  \sqrt{b^2 -4ac} }{2a} 
 and b^2-4ac=0, we're left with 0 and we are therefore left with -b/2a as the vertex and the vertex being the x intercept. If the discriminant is negative, that means that there is no y intercept and the vertex therefore has to be over y=0
6 0
4 years ago
900 cm/h = cm/min plz helpppp
Elodia [21]
900 cm/h = 15cm/min plz helpppp
5 0
3 years ago
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