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3 years ago

What is the fourth number in this pattern, and what is the rule?

Mathematics

2 answers:

mash [69]3 years ago

5 0

To find the common difference (rate or slope) we can divide the 2nd term to the 1st term.

54.2 / 5.42 = 10 (rule)

Since the common difference is the same throughout the sequence, we can name this as a "arithmetic sequence".

We can multiply 10 to 542 to find the 4th term: 542 * 10 = 5,420

______

Best regards,

Wolfyy :)

Ainat [17]3 years ago

3 0

Answer: Multiplied by 10

Step-by-step explanation:

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What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

Find the length of the segment AB

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

Find the cosine of the angle BAD

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

Find the length of the segment AC

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

Find the length of the segment DC

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

Find the length of the segment BC

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

the answer is

$BC=31.2\ units$

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Pls help I can't do anything I will give the brain thingy

Sidana [21]

Step-by-step explanation:

Blank C :

Given total = 68

No. of TV news = 13

Therefore, in Internet it would be = Total - TV news

= 68 - 13 = 55 (ans)

Blank D :

No. of Internet news in 7th grade = 55

No. of Internet news in 8th grade = 64

Hence, total Internet base news = 64 + 55 = 119 (ans)

Blank B :

All total = 138

Internet news total = 119

Hence, TV news total = All total - Internet news

= 138 - 119 = 19 (ans)

Blank A :

No. of TV news in 7th grade = 13

Total news in TV = 19

Therefore, no. of TV news in 8th grade = 19 - 13 = 6(ans)

Blank E :

All total = 138

Total of 7th grade news = 68

Hence, total of 8th grade news = 138 - 68

= 70 (ans)

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Nine less than a number algebraic expression

nalin [4]

Nine less than a number

is

n - 9

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Pablo runs 1.5 miles on his first day of training for a road race the next day he increases his distance run by 0.5 miles the da

Sati [7]

So, he runs 1.5 then adds 0.5 every day,
1.5
(1.5+0.5)+1.5=x
(2.0+0.5)+x=z
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etc.
Why, they want to know the total distance he runs, so thats why you add x,y,z to the end, and you add 2.0+0.5 because he adds 0.5 every dat Plus the other day's miles jogged

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Victor is a mechanic who wants to ensure he has enough funds during his old age. Which account will be of benefit to Victor?

vitfil [10]

Answer:

individual retirement account

Step-by-step explanation:

The account that will be beneficial to Victor, to ensure he has enough funds during his old age, is the individual retirement account(IRA).

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