what is 129.392 rounded to nearest hundredth?
​

Answer:

We know that a number is divisible by 3 if the sum of its digits is a multiple of 3.

if the sum is a multiple of 3 + 1  (like 3*n + 1) the remainder is 1

if the sum is a multiple of 3 + 2 (like 3*n + 2) the remainder is 2.

Then we need to find the sum of all the single digits in the number:

101102103104...149150

the sum of all the single digits is:

( 1 + 1) + (1 + 2) + (1 + 3) + ... + (1 + 4 + 9) + ( 1 + 5)

The method i used is:

(from 101 to 110)

first we sum the hundreds digit 10 times, and then we add the unit digits for each case, this is:

1*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1) = 10 + 46

From (111 to 119)

first we add the sum of the hundreds and tens digits 10 times, and then the units:

2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 )

now if we also add the number 120 (so we have the range 111 to 120)

the sum becomes:

2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 ) + 1 + 2

2*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1 ) = 20 + 46

You already can see the pattern here.

in the range from (121 to 130) we will have the sum equal to 30 + 46

in the range from (131 to 140) we will have the sum equal to 40 + 46

in the range from (141 to 150) we will have the sum equal to 50 + 46

Then the total sum is:

(10 + 20 + 30 + 40 + 50) + 5*46 = 380

We know that 380 is multiple of 3 (because 3 + 8+ 0 = 12)

Then the remainder is 0.

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.

Answer:

138.16

Step-by-step explanation:

Answer:

g(-1) = 4

Step-by-step explanation:

Given:

g(x) = [tex] \frac{3x^2 - 2x + 7}{2x + 5} [/tex]

To find g(-1), substitute x = -1

Thus:

g(-1) = [tex] \frac{3(-1)^2 - 2(-1) + 7}{2(-1) + 5} [/tex]

g(-1) = [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]

= [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]

= [tex] \frac{12}{3} [/tex]

g(-1) = 4

Answer:

all you do is add all the numbers of the fac es together boom

Step-by-step explanation:

Answer:

Step-by-step explanation:

True

Answer:

5 times

Step-by-step explanation:

1/6·30=5

so your answer is b)5

Can i have a brainliest please or 10 points?

Answer:

Fraction : 3/9

Decimal : 0.33333333 (the .3 continues)

Percent : 33.33333%

Step-by-step explanation:

Dividing 3 by 9 will give you a continous set of 3.

Answer:

18N

Step-by-step explanation:

According to Newtons second law

F ∝ a

F =  ka

k is the constant of proportionality

When a force of 8 N acts on a certain object, the acceleration of the object is 4 m/s2, hence;

8 = 4k

k = 8/4

k = 2

If a = 9m/s², F = ?

Recall F = ka

F = 2 * 9

F = 18N

Hence the force will be 18N

Answer:

No numbers have an absolute value of -3

Step-by-step explanation:

hippity hoppity your pints are my property

absolute value cannot be negative tho

Step-by-step explanation:

The lateral area is

[tex]42\pi[/tex]

The surface area is

[tex]60\pi[/tex]

The volume is

[tex]63\pi[/tex]

The expression of x in terms of y for the case when  cos(xº) = sin(yº) is x° = cos^(-1)sin(y°)

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

For this case, we have to express x in terms of y for [tex]\cos(x^\circ) = \sin(y^\circ)[/tex]

Since 0 < x < 90, and 0 < x < 90 so taking inverse cosine gives:

[tex]x^\circ= \cos^{-1}(\sin(y^\circ))[/tex]

Thus, the expression of x in terms of y for the case when  cos(xº) = sin(yº) is [tex]x^\circ= \cos^{-1}(\sin(y^\circ))[/tex]

Learn more about inverse trigonometric functions here:

https://brainly.com/question/12551115

Answer:

If 2 6, which must be true about 2? 2 is complementary to 5.

Step-by-step explanation:

Answer:

B, 24

Step-by-step explanation:

2 : 5 ratio of catching catfish

X : 60

2/5 = X/60

6 x (2/5) = (X/60) x 60

60 x (2/5) = X

X = 60 x (2/5)

X = 24

Therefore he can except to catch 24 catfish

Answer:

(B)-4

Step-by-step explanation:

Answer:

Trick question? You can't cut 23 feet from an 18 foot roll.

Did you leave out the decimal points?

Step-by-step explanation:

Answer:

You can't cut 23 or 24 feet from 18 foot roll.

The characteristics describe in the graph of the circle inequality are a circle with a solid boundary, center at (6, 12), and bounded solution set option first is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle equation in the inequality form:

(x – 6)² + (y – 12)² ≤ 196

The center of the circle is at (6, 12)

The radius of the circle is:

r² = 196

r = 14 units

After drawing a circle on the coordinate plane.

We will see, a circle with a solid boundary, center at (6, 12), and bounded solution set.

Thus, the characteristics describe in the graph of the circle inequality are a circle with a solid boundary, center at (6, 12), and bounded solution set option first is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ5

Answer:

A:)

Step-by-step explanation:

See attached!

Answer:

s + b = $24,000

And,

s = 3b + $6,000

Step-by-step explanation:

Let us assume the stock be s

And, the bonds be b

So according to the question

It is given that

s + b = $24,000

And,

s = 3b + $6,000

The answers are

s + b = $24,000

And,

s = 3b + $6,000

The same would be considered

Answer:

37.5

Step-by-step explanation:

16/46 = 20/(20+x)

or, 16(20+x) = 46×20

or, 320 + 16x = 920

or, 16x = 600

or, x = 600/16

x = 37.5

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are here given that the value of,

[tex]\longrightarrow \cos\theta=\dfrac{3}{\sqrt{22}} \\[/tex]

And we know that cosine is the ratio of base and hypotenuse. Therefore,

[tex]\longrightarrow \cos\theta =\dfrac{b}{h} \\[/tex]

So we can also say that,

[tex]\longrightarrow \cos\theta = \dfrac{b}{h}=\dfrac{3}{\sqrt{22}}\\[/tex]

Let us take the given ratio to be 3x:√22x . Now we may find out the value of perpendicular using Pythagoras theorem . The Pythagoras theorem is ,

Pythagoras theorem:-

Mathematically,

[tex]\longrightarrow \boxed{ \boldsymbol{p^2+b^2=h^2}} \\[/tex]

where the symbols have their usual meaning.

On substituting the respective values, we have;

[tex]\longrightarrow p^2+(3x)^2=(\sqrt{22}x)^2 \\[/tex]

[tex]\longrightarrow p^2 = 22x^2-9x^2\\[/tex]

[tex]\longrightarrow p^2=13x^2 \\[/tex]

[tex]\longrightarrow \boldsymbol{ p = \sqrt{13}x} \\[/tex]

Now again , we know that, tangent is defined as the ratio of perpendicular and base. Therefore,

[tex]\longrightarrow \tan\theta = \dfrac{p}{b} \\[/tex]

[tex]\longrightarrow \tan\theta = \dfrac{\sqrt{13}x}{3x}\\[/tex]

[tex]\longrightarrow \boldsymbol{ \tan\theta = \dfrac{\sqrt{13}}{3}}\\[/tex]

Now we may use a identity which is ,

[tex]\longrightarrow\boxed{ \boldsymbol{ \tan (2x)= \dfrac{2\tan x}{1-\tan^2 x}}}\\[/tex]

On substituting the respective values, we have;

[tex]\longrightarrow \tan2\theta = \dfrac{ 2\tan\theta}{1- \tan^2\theta}\\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{2\bigg(\dfrac{\sqrt{13}}{3}\bigg)}{1-\bigg(\dfrac{\sqrt{13}}{3}\bigg)^2 } \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{1-\dfrac{13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{9-13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{-4}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = -\dfrac{2\sqrt{13}\cdot 9}{3\cdot 4 } \\[/tex]

[tex]\longrightarrow \boxed{\boldsymbol{ \tan2\theta = -\dfrac{3\sqrt{13}}{2}}} \\[/tex]

This is the required answer .

Answer:

your answer will be P=27

Step-by-step explanation:

hope it helps...

Step-by-step explanation:

A. r=42/2=21

B.

[tex] {21}^{2} \pi + 60 \times 42 = \\ = 441\pi + 2520[/tex]

C.

[tex]42\pi + 60 \times 2 = \\ = 42\pi + 120[/tex]

Answer:

[tex]2x - 15 = x + 5 \\ 2x - x = 15 + 5 \\ x = 20[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

x=20

Step-by-step explanation:

2x-15=x+5

-x          -x

x-15=5

+15     +15

x=20

a and d and ehxgfhsy eyehe74vd surge

Answer:

128cm²

Step-by-step explanation:

To find out how much material he needs, you need to find the surface area of the box. Each box has 6 sides, 2 of 3 different sides.

Surface area = 2(6 × 4) + 2(6 × 4) + 2(4 × 4)

                      = 128cm²

Answer: what are you looking for (d)?  there isnt enough info

Step-by-step explanation:

Answer:

Since the division of the number of pedestrians by the number of years yields different values for each ratio, these ratios do not form a proportion.

Step-by-step explanation:

They will form a proportion if the division of the number of pedestrians by the number of years yields the same results.

20 pedestrians : 5 years

20/5 = 4 pedestrians per year.

7 pedestrians : 1 year

7/1 = 7 pedestrians per year.

Since the division of the number of pedestrians by the number of years yields different values for each ratio, these ratios do not form a proportion.

Answer:

200

Step-by-step explanation:

Length*Width*Hight= 4*10*5=200

hope this helps

Answer:  I am pretty sure it is 200

Step-by-step explanation:

I may be wrong sorry if it is have a good day :)

Answer:

B

Step-by-step explanation:

Answer:

The person above is correct.

Step-by-step explanation:

Don't have proof I just know, trust\(￣︶￣*\))