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Makovka662 [10]
3 years ago
12

These are the first six terms of a sequence with a1= - 3: - 3, 8, 19, 30, 41, 52, … Find a recursive formula for this sequence t

hat is valid for n>1. Write your answer in simplest form.
Mathematics
1 answer:
ad-work [718]3 years ago
6 0

Answer:

a(n+1)=a(n)+11

Step-by-step explanation:

The difference between two consecutive elements is 11.

8=-3+11\\19=8+11\\30=19+11\\41=30+11\\52=41+11\\

Hence a(n+1)=a(n)+11

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in a right triangle, the 58cm hypotenuse makes a 51 angle with one of the legs. rounded to two decimals places, how long is that
ser-zykov [4K]

Answer:

36.50

To two decimal places

Step-by-step explanation:

The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.

From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.

Cos 51°=x/58

Let the size of the leg be x

Making x the subject

x=58(Cos51°)

x=36.500058

Correct to two decimal place

x=36.50

3 0
3 years ago
Choose the kind(s) of symmetry: point, line, plane, or none.
svp [43]

Answer:

what am I choosing the lines of symmetry on?

7 0
4 years ago
An art teacher had 57 grams of blue clay. She combined it with 31 grams of yellow clay to make green clay. She let students use
tangare [24]

Step-by-step explanation:

Amount of green clay at the start = 57g + 31g = 88g.

Amouny of green clay used = 88g - 18g = 70g.

Hence 70g of green clay was used during the week.

8 0
3 years ago
The graph below shows the velocity f(t) of a runner during a certain time interval
Levart [38]
The last answer...
At time 0, the velocity is 6. 
When the velocity is 0, the time is 8
8 0
3 years ago
Read 2 more answers
Please show your work; only #8!
lorasvet [3.4K]

Answer:

x = 0.16

Step-by-step explanation:

Step 3:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

x = - \frac{11 - \sqrt{185} }{16}

Then, evaluate for x:

x = 0.16259190... which is about,

x = 0.16

8 0
3 years ago
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