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3 years ago

| 2 | = and if you can, please explain it too

Mathematics

2 answers:

Sedbober [7]3 years ago

8 0

I think it means it’s stands on its own and it’s positive

siniylev [52]3 years ago

3 0

Answer:

The answer is 2

Step-by-step explanation:

| 2 | = 2 because whenever you have | 2 | or even | -2 | it always equals the postive number.

Ex:

| -3 | = 3

| 8 | = 8

<em>hope this helps! :)</em>

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How I get x for number 7

lakkis [162]

Answer:

x = 50

Step-by-step explanation:

Angles of a triangle add up to 180°. So the third angle of the triangle on the right is:

180° − 43° − 57° = 80°

Vertical angles are congruent, so the angle on the other side is also 80°. Therefore:

x° + x° + 80° = 180°

2x° = 100°

x = 50

6 0

4 years ago

Find the indicated nth partial sum of the arithmetic sequence.<br> −7, −3, 1, 5, . . ., n = 30

TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

$-7, -3, 1, 5, . . .$

An arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n$

$-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4$

$\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$d=4$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=-7$

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=4\left(n-1\right)-7$ ∵ $d=4$

$\mathrm{Arithmetic\:sequence\:sum\:formula:}$

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

$\mathrm{Plug\:in\:the\:values:}$

$n=30,\:\space a_1=-7,\:\spaced=4$

$=30\left(-7+\frac{4\left(30-1\right)}{2}\right)$

$=30\left(58-7\right)$ ∵ $\frac{4\left(30-1\right)}{2}=58$

$=30\cdot \:51$

$=1530$ ∵ $\mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530$

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

$a_n=4\left(n-1\right)-7$

n = 30

$\sum _{n=1}^{30}\:4\left(n-1\right)-7$

$=\sum _{n=1}^{30}4n-11$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n$

$=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11$

$\sum _{n=1}^{30}4n=1860$

and

$\sum _{n=1}^{30}11=330$

$=1860-330$

$=1530$

7 0

4 years ago

Araceli uses 8.5 pints of blue paint and white paint to paint her bedroom walls. 4/5 of this amount is blue paint, and the rest

astraxan [27]

Answer:

2.125

Step-by-step explanation:

multiply 8.5 x 5/4 which gives you 10.625 and then 10.625 - 8.5 is 2.125

6 0

4 years ago

A 12-foot ladder is placed 4 feet away from a house as shown.

elena-s [515]

Answer:

Answer: x = 71 degrees. Yes, the ladder meets safety standards

Discussion:

The problem describes a right triangle with hypotenuse 12, the side against the ground is 4, and the angle between those two sides is "x". For this triangle,

cosx = (side adjacent to angle) / hypotenuse

= 4 / 12

= 1/3

To find "x" take the inverse cosine of each side to find that :

x is approximately 70.52 degrees. That's 71 degrees rounded to the nearest degree.

Step-by-step explanation:

HOPE THIS HELPED!

6 0

3 years ago

Read 2 more answers

How much money is 15% of $14.90<br> SHOW YOUR WORK

Amiraneli [1.4K]

Answer:

The final price will be $12.67

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 14.9 × 15/100

Discount = 14.9 x 0.15

You save = $2.24

Final Price = Original Price - Discount

Final Price = 14.9 - 2.235

Final Price = $12.67

hope this helps and is right. p.s. i really need brainliest :)

4 0

3 years ago