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maw [93]
4 years ago
5

39,40,36,37,33,34 identify, DESCRIBE, AND EXTEND PATTERN

Mathematics
2 answers:
amm18124 years ago
8 0
The pattern is add 1 subtract 4
39,40,36,37,33,34,30,31,27,28,24,25,21,22,18,19,13,14,10,11,7,8,4,5,1
icang [17]4 years ago
3 0

Answer:

<h3>The completed sequence is</h3>

39, 40, 36, 37, 33, 34, 30, 31, 27, 28, 24, 25, 21, 22, 18, 19, 15, 16, 12, 13, 9, 10, 6, 7, 3, 4, 0

Step-by-step explanation:

The given sequence is

39, 40, 36, 37, 33, 34, ...

Notice that the sequence has two operations that form the pattern. First, 1 unit is being added, then 4 units are being subtracted.

Using this pattern, we can extend the sequence

39, 40, 36, 37, 33, 34, 30, 31, 27, 28, 24, 25, 21, 22, 18, 19, 15, 16, 12, 13, 9, 10, 6, 7, 3, 4, 0

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valina [46]

To solve this problem, let us first assign variables. Let us say that:

A = runner

B = cyclist

d = distance

v = velocity

time = t

 

The time in which the cyclist overtakes the runner is the time wherein the distance of the two is the same, that is:

dA = dB

 

We know that the formula for calculating distance is:

d = v t

therefore,

vA tA = vB tB

 

Further, we know that tA = tB + 2, therefore:

vA (tB + 2) = vB tB

4 (tB + 2) = 14 tB

4 tB + 8 = 14 tB

10 tB = 8

tB = 0.8 hours = 48 min

 

Therefore the cyclist overtakes the runner after 0.8 hours or 48 minutes.

8 0
3 years ago
Find cos(2*ABC) 100POINTS
juin [17]

Answer:

-\dfrac{7}{25}

Step-by-step explanation:

<u>Trigonometric Identities</u>

\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
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  • H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

  • \cos(\angle ABC)=\dfrac{3}{5}
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Therefore, using the trig identities and ratios:

\begin{aligned}\implies \cos(2 \cdot \angle ABC) & = \cos(\angle ABC + \angle ABC)\\\\& = \cos (\angle ABC) \cos (\angle ABC) - \sin(\angle ABC) \sin (\angle ABC)\\\\& = \cos^2(\angle ABC)-\sin^2(\angle ABC)\\\\& = \left(\dfrac{3}{5}\right)^2-\left(\dfrac{4}{5}\right)^2\\\\& = \dfrac{3^2}{5^2}-\dfrac{4^2}{5^2}\\\\& = \dfrac{9}{25}-\dfrac{16}{25}\\\\& = \dfrac{9-16}{25}\\\\& = -\dfrac{7}{25} \end{aligned}

7 0
2 years ago
Read 2 more answers
Area of square tile, math question
Inessa05 [86]

Answer:

Answer: √49

___________

√49 = 7

Step-by-step explanation:

The area of a square is equal to the square of its side or the product of its side and its side.

A = s², because the sides of a square are congruent.

5 0
4 years ago
3/10 as an equivalent fraction with a denominator of 100
viktelen [127]
30/100.

To get to this, you need to change the denominator to 100. 10 x 10 = 100 so whatever you do to the denominator, you do to the numerator. 3 x 10 = 30 so your answer would be 30/100.
8 0
3 years ago
How do you simplify.the square root of 180 and how do you know that it is in simplest form ?
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13.4 and you<span> See if at least one </span>number<span> in </span>the fraction<span> is a prime </span>number<span>.</span>
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