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Delvig [45]
3 years ago
7

This sequence represents the diameters of circles used to create an art project: 2.5 cm, 3.1 cm, 3.7 cm, 4.3 cm Let f(n) represe

nt diameter in centimeters and n the term number in the sequence. Which equation represents the sequence of diameters?
Mathematics
2 answers:
vlabodo [156]3 years ago
3 0
The diameters of the circles given are listed as: 2.5 cm, 3.1 cm, 3.7 cm, and 4.3 cm. It can be observed that there is a common difference between the terms of the progression such that the difference between the first two terms is 0.6 cm. The difference between the third and the second is also 0.6, and so on. Thus, the equation that will be able to represent the given is,
                                   <em> f(n) = 2.5 + 0.6(n - 1)</em>
erastovalidia [21]3 years ago
3 0

Answer:

The answer is f(n) = 0.6n + 1.9.

Hope this helps!!! :)

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8. Let ABCD be a parallelogram with A on top left, B on top right, D on bottom left and C on the bottom right. Prove that opposi
AVprozaik [17]

Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

    <ABD = <BDC (alternate angle property)

    <BAC = <ACD (alternate angle property)

Also, diagonals;

      /AC/ = /BD/ (reflexive property)

Then;

      ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

     /AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

    /BC/ ≅ /AD/  (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.

7 0
3 years ago
You are heating liquid in a chemistry lab. Four minutes ago, the temperature of the liquid was -4 degrees Celsius. Since then, i
Marina CMI [18]
The rate of temperature rise is 2 degrees/minute.

The relation between temperature and time is of the form
y = 2x + b
where
x = time, minutes,
y = temperature, Celsius

When x = -4 min, y = - 4°C because the temperature was - 4°C 4 minutes ago. Currently, x = 0.
Therefore
-4 = 2(-4) + b
-4 = - 8 + b
4 = b

Part A
The relation is y = 2x + 4

Part B
When x = 15 (15 minutes from now), the temperature will be
y = 2(15) + 4 = 34°C

Answer: 34°C
6 0
4 years ago
What is the length of AB?
avanturin [10]

Answer:

10

Step-by-step explanation:

AB²=8²+6²

=64+36

=100

AB=10

4 0
3 years ago
Read 2 more answers
What is the answer to half of 27
DochEvi [55]
Half, meaning cut it by 1/2 of it's original value.
To cut it in half, we need to divide 27 by 2 to get the answer 13.5.

This makes sense because 14 + 14 = 28, and 13.5 + 13.5 = 27.
8 0
4 years ago
Tile 6a7-2a7 simplified
suter [353]
<span>6a^7-2a^7
=5a^7 ................combine like terms</span>
6 0
4 years ago
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