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3 years ago

1 of 5What is the nth term rule of the linear sequence below?2,5, 8, 11, 14, ...wTn

Mathematics

1 answer:

Alika [10]3 years ago

6 0

Answer: 3n-1

The difference between each of the numbers is 3. This means that we have 3n.

If we assume that for the first number n=1, then 3*1=3, but the value we have is 2. This means that we must subtract 1 to get from 3 to 2.

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Express each of the following in standard form 0.0 0 0 0 0 0 0 0 0 2 2 1

Anastasy [175]

answer= 2.21 x 10^-10

3 0

3 years ago

Changle. Show all work. Round each length to the nearest tenth and each angle to the

Sedaia [141]

Answer:

Part 1) $BC=12.2\ units$

Part 2) $m\angle A=55^o$

Part 3) $m\angle C=35^o$

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=7^2+10^2$

$AC^2=149\\AC=12.2\ units$

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

$tan(A)=\frac{BC}{AB}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{10}{7}$

using a calculator

$m\angle A=tan^{-1}(\frac{10}{7})=55^o$

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

$m\angle A+m\angle C=90^o$ ----> by complementary angles

substitute the given value

$55^o+m\angle C=90^o$

$m\angle C=90^o-55^o=35^o$

8 0

3 years ago

A rectangle has vertices at these coordinates. (−6, 3), (−6, 5), (2, 3) What are the coordinates of the fourth vertex of the rec

Anna35 [415]

Answer:

(2, 5).

Step-by-step explanation:

The length of the line joining the first 2 points = (5 - 3) = 2 units. This is a vertical line because the 2 x coordinates ( -6 and - 6) are equal.

The line joining ( -6 , 3) and (2 , 3) is horizontal and is 2 - -6 = 8 units long.

Because we have a rectangle the point we need to find must have x coordinate of 2 and the y coordinate will be 2 more than the y coordinate 3.

.So it is (2, 5),

7 0

3 years ago

Someone please help

AleksandrR [38]

Replace y with 31:

31 = 7x -4

Add 4 to both sides:

35 = 7x

Divide both sides by 7:

x = 5

Input x = 5

6 0

2 years ago

PLEASE HURRY ASAP!

cestrela7 [59]

Using conversions of mixed numbers, the numbers that are equivalent to 2 and 7/9 are given by:

25/9 and 2.777.

<h3>What are the conversions of the mixed number 2 and 7/9?</h3>

To convert to decimal, we just add the integer part with the fractional part converted to decimal(dividing the numerator by the denominator), hence:

2 and 7/9 = 2 + 7/9 = 2.7777.

To convert to fraction, the procedure is similar, we just apply the least common multiple to add the fraction, as follows:

$2 + \frac{7}{9} = \frac{2 \times 9 + 7}{9} = \frac{25}{9}$

Hence the numbers that are equivalent to 2 and 7/9 are given by:

25/9 and 2.777.

More can be learned about conversions of mixed numbers at brainly.com/question/21610929

#SPJ1

4 0

1 year ago

1 of 5What is the nth term rule of the linear sequence below?2,5, 8, 11, 14, ...wTn​

1 of 5What is the nth term rule of the linear sequence below?2,5, 8, 11, 14, ...wTn