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givi [52]
2 years ago
13

Nth term of this sequence 1, 10, 19, 28

Mathematics
1 answer:
mestny [16]2 years ago
3 0

Answer:

The nth term of the sequence is

<h2>9n - 8</h2>

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1

d = 10 - 1 = 9 or 19 - 10 = 9 or 28 - 19 = 9

So the nth term of the sequence is

A(n) = 1 + (n - 1)9

= 1 + 9n - 9

= 9n - 8

<h3>A(n) = 9n - 8</h3>

Hope this helps you

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Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
bonufazy [111]

Answer:

The ratio of Tan B is

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}

Substituting the given values we get

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

5 0
3 years ago
Ian needs to save at least $85.00 for a new pair of basketball shoes. He has $25.00 in his piggy bank, and can save $12.00 from
sweet [91]

Answer:

x = 6; 6 weeks

Step-by-step explanation:

Hi!!

Okay, so here is the equation needed to solve:

85.00 = 25.00 + 12.00x

Subtract 25 from both sides

85 -25 = 25 - 25 + 12x

Then, you get:

55 = 12x

Divide 55 by 12

55/12 =x

so x = 6

Hope this helps!

7 0
3 years ago
You buy 3 bags of takis for $2.25 each. the sales tax is 8%. How much was the sales tax
aev [14]

Answer:

0.54 is the sales tax.

Step-by-step explanation:

2.25 x 3 = 6.75

When trying to do percentages move the decimal place to the right 2 times.

6.75 x 0.08= 0.54.

5 0
3 years ago
Can someone please help me?
mojhsa [17]
First find out the triangle (red) in the top left.
(6 \times (12 - 8)) \div 2 \\ (6 \times 3) \div 2 \\ 18 \div 2 \\ 9
The area of a triangle is found by length times width and divide it all by 2 because a triangle is half of a square. Now we multiply that by 2 for the second triangle (in green) at the bottom. We can do this because the blue does to the half way mark on the quilt so the other triangle on the bottom has to be the same.
9 \times 2 = 18
Now we find out the area of the whole SQUARE quilt. It already gave the measurement of one side so they all have to be the same.
12 \times 12 = 144
Now we only need the area of the side the blue is on. So divide by 2 and get 72.
Now subtract 18 from 72.

The answer is 54 for blue.
4 0
3 years ago
There are 95 cherry pieces in 5 bags of candy.How many pieces per bag?
Veseljchak [2.6K]

The average is (95 pieces / 5 bags) = 19 pieces/bag,
but it may not be consistent in every bag.

7 0
3 years ago
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