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4 years ago

Write the first five terms of a numerical pattern that begins with 5 and then adds 6

1 answer:

7 0

This pattern forms an arithmetic sequence with the first term $a_1=5$ . The difference between two consecutive terms of this sequence is 6. The rule to calculate the other term of the sequence is is to add 6 to the previous term. This can be archived as shown in the calculations below,

$a_2=a_0+6=5+6=11\\\\a_3=a_2+6=11+6=17\\\\a_4=a_3+6=17+6=23\\\\a_5=a_4+6=23+6=29$

The first terms of this sequence are 5, 11, 17, 23,29.

You might be interested in

Is 7/12 greater than less than or equial to 1/5

Mrrafil [7]

You need to multiple both fractions so that they share a common denominator. In this case, it's 60.

7/12= 35/60

1/5= 12/60

You can see that they are not equal, and that 7/12 is greater than 1/5 :)

8 0

3 years ago

If VW is 10 cm, find the length of VR⌢. Round to the nearest hundredth (two decimal places).

Assoli18 [71]

Given:

Given that the length of VW is 10 cm.

The central angle is 127°

We need to determine the arc length of VR.

Arc length of VR:

The arc length of VR can be determined using the formula,

$Arc \ length = \frac{\theta}{360}\times 2 \pi r$

Substituting $\theta=127$ and r = 10, we get;

$Arc \ length = \frac{127}{360}\times 2 (3.14)(10)$

Simplifying the terms, we get;

$Arc \ length = \frac{7975.6}{360}$

$Arc \ length = 22.154$

Rounding off to the nearest hundredth, we get;

$Arc \ length = 22.15$

Thus, the arc length of VR is 22.15 cm

3 0

3 years ago

If AB = 9 units, QS = 6 units, and AR = QR = RS, what is the area of the heart shape?

RUDIKE [14]

Answer:

Step-by-step explanation:

AR = QR = RS = (1/2) QS = 3

So ....by the Pythagorean Theorem, AS = AQ =

√ [3^2 + 3^2] = √[9 + 9 ] = √18

And the area of the two semi-circles= the area of a circle with a radius of AS/2 =

pi [AS/2]^2 =

pi [√18/2]^2 = 18pi/4 = (9/2)pi units^2

And the area of the rest of the figure is just that of a rhombus =

The product of the diagonals / 2 =

AB*QS/2 = 9 * 6 / 2 = 27 units^2

So....the total area =

[(9/2) pi + 27] units^2 = about = 41.1 units^2 [rounded]

4 0

4 years ago

Please help me with my math

gulaghasi [49]

Answer: The probability of choosing a green marble is $\frac{1}{3}$ .

Step-by-step explanation:

4 + 5 + 3 = 12 marbles total.
Since there are 4 green marbles, the probability of choosing one is $\frac{4}{12}$ .
$\frac{4}{12}$ simplified is $\frac{1}{3}$ .

7 0

3 years ago

Read 2 more answers

When 8 is added to a certain number and the sum is multiplied by 3, the result is 57. Find the number.

ivann1987 [24]

Answer:

The number is 11.

Step-by-step explanation:

$3(8+x)=57\\24+3x=57\\3x=33\\x=11$

3 0

3 years ago