What is the lowest common multiple of 10 and 12

Answer:

Volume is 339.12 cubic units

Step-by-step explanation:

[tex]{ \tt{volume = \pi {r}^{2} h}}[/tex]

» r is radius

» h is height

[tex]{ \tt{v = 3.14 \times ( {3)}^{2} \times (12)}} \\ { \tt{v = 3.14 \times 108}} \\ { \underline{ \tt{ \: \: v = 339.12 \: \: units {}^{3} } \: \: }}[/tex]

Step-by-step explanation:

1. sin 21 = x/12

x = 12*.35=4.2

2. cos 56 = 10/x

x = 10/cos 56 = 11.72

3. tan 32 = x/7

x = 7*tan32 = 4.6

4. tan 35 = 5/x

x = 5/tan 35 =10.55

5. tan 61 = 3/x

x = 3/tan 61 = .8

Answer: (1,28), (2,14), (4,7), (-1,-28), (-2,-14), (-4,-7).

Answer:

1, 2, 4, 7, 14,28.

This is because all these numbers are numbers u can multiply to get 28

Answer:

3000=48x where x= minutes.

Step-by-step explanation:

Answer:

62.5

Step-by-step explanation:

3000/48 well it would be 62.5 minutes per hour for each 48 words

62.5 x 48=3000

32 3t try add it all up maybe it work but that's the answer

Answer:

In direct proportion

2×t=16×3

2t=48

t=48/2

t=24.

Answer:

I just guessed random numbers until I got 66 and 130.

Answer:

Step-by-step explanation:

Hi there!

Let one of the number be "x" then the next number is x+64.

According to the question,

The sum of two numbers is 196.

i.e x + (x+64) = 196

or, 2x +64 = 196

Subtract 64 from both sides,

2x +64-64 = 196 - 64

2x = 132

Divide both sides by 2,

[tex]\frac{2x}{2}[/tex] = [tex]\frac{132}{2}[/tex]

x = 66

And x+64 = 66+64 = 130

Therefore, the one number was 66 and another was 130.

Hope it helps!

Step-by-step explanation:

we need to find the LCM, the least (or lowest) common multiple, of 3 and 4.

that means the smallest number that can be divided by 3 and by 4 without remainder.

and that is simply in our case 3×4 = 12.

so, every 12th day they will walk to the lake "together" (on the same day).

FYI - formality the LCM is found e.g. by prime factorization.

starting with the smallest prime number (2) both numbers are divided by the prime number, if there is no remainder. the quotient is then again divided by the prime number. if there is a remainder, then the next higher prime number is taken for the division.

this goes on until we get a quotient of 1.

the LCM is then the product of the longest streaks of the products of the same prime numbers.

example LCM of 56 and 50

56 ÷ 2 = 28 (0 remainder)

28 ÷ 2 = 14 (0 remainder)

14 ÷ 2 = 7 (0 remainder)

7 ÷ 2 has a remainder, so the next prime number (3)

7 ÷ 3 has a remainder, so the next prime number (5)

7 ÷ 5 has a remainder, so the next prime number (7)

7 ÷ 7 = 1 finished

50 ÷ 2 = 25 (0 remainder)

25 ÷ 2 has a remainder, so the next prime number (3)

25 ÷ 3 has a remainder, so the next prime number (5)

25 ÷ 5 = 5 (0 remainder)

5 ÷ 5 = 1 finished

the longest streaks of prime number products :

2×2×2 = 8

5×5 = 25

7 = 7

the LCM = 8×25×7 = 1400

please consider, this is NOT 56×50 = 2800.

the LCM is not automatically just the product of both numbers. this product is a common multiple, true, but not always the smallest.

in our case here with 3 and 4

3 ÷ 2 has a remainder, so the next prime number (3)

3 ÷ 3 = 1 finished

4 ÷ 2 = 2 (0 remainder)

2 ÷ 2 = 1 finished

the longest prime number product streaks :

2×2 = 4

3 = 3

the LCM = 4×3 = 12

so, in this case the LCM is the direct product of both numbers.

Step-by-step explanation:

answer and explanation is pinned

Answer:

Yes, the park should be expanded

Explanation:

180 adults said yes.

250 - 180 = 70

70 people thought the park shouldn't be expanded, but there are more people who want the mark to expand.

Answer:

y= -13

Step-by-step explanation:

2 times -5 = -10 - 3 = -13

Answer:

$654.32 (to the nearest cent)

Step-by-step explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Monthly Compound Interest formula:

[tex]CI = P(1 + (\frac{r}{n} ))^{nt} - P[/tex]

where:

P = principal amount

r = annual interest rate (as a decimal)

n = frequency or number of times the interest is compounded annually

t = overall tenure in years

So for this problem:

P = 500

r = 9 ÷ 100 = 0.09

n = 12

t = 3

Therefore,  

Compound Interest = [tex]P(1 + (\frac{r}{n} ))^{nt} - P[/tex]

                                = 500 x (1 + (0.09/12))^(12 x 3) - 500

                                = 500 x (1.0075)^36 - 500

                                = 154.3226855

So the value of the $500 investment = principal amount + compound interest

= 500 + 154.3226855

= $654.32 (to the nearest cent)

6 + 11 =

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin N = opp/hyp = 5[tex]\sqrt{3}[/tex]/10 = [tex]\sqrt{3}[/tex]/2

cos N = adj/hyp = 5/10 = 1/2

tan N = opp/adj = 5[tex]\sqrt{3}[/tex]/5 = [tex]\sqrt{3}[/tex]

Hi! Refer to the graph attached below

Answer and Step-by-step explanation:

My response is in the image attached below, I hope that this helps. Good luck with your work.

Answer:A cone is a 3-dimensional solid object that has a circular base and a single vertex

Step-by-step explanation:

dolphinsproduction on insta

Answer:

A cone have a point a the top with a round end which is a circle at the bottom.

Answer:

As you start to factor a polynomial, always ask first, “Is there a greatest common factor?” If there is, factor it first. The next thing to consider is the type of polynomial.

Step-by-step explanation:

Answer:

I believe a=22

Step-by-step explanation:

a=4+4+4+2+8

a=8+4+2+8

a=12+2+8

a=14+8

a=22

Two actions that are inverses of each other are cos  and arccos.

What is the trigonometric ratio?

Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.

Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.

1. Trigonometric function:

 cos (π) = -1

2. Inverse function :

 π = arccos( -1 )  

We can see that the inverse function of "cos" is "arccos" and viceversa

To learn more about trigonometric ratios form the given link

https://brainly.com/question/11967894

#SPJ1

Hey there mate :)

As per question, AB + BC = AC are the sides of a triangle.

=> AB + BC = AC

( AC is hypotenuse and AB and BC are remaining two sides )

=> (x + 16) + (4x + 11) = 77

(These are the given values of each side such as [x+16]=AB ; BC=[4x+11] and AC=77)

=> 5x = 77 - 27

=> 5x = 50

=> x = 50/5

=> x = 10

( Now these above steps are the continuing solving processes of given values)

=> AB = x + 16

(Previously we got value x and now substitute its value)

=> AB = 10 + 16

=> AB = 26

(Now these are the remaining solving processes)

~ Benjemin360

Answer: Find the missing values in the ratio table. Then write equivalent ratios. PLS help me

Step-by-step explanation:

I cant see the work

Answer:

53$

Step-by-step explanation:

I'm an expert trust me and MARK AS BRAINLIEST

Answer:

-3 -12 -11

Step-by-step explanation

You need the total when added plus 2 to be less than 1 ,  the graphic is telling you 1 is the highest the answer could be.

Answer:

all of them..

Step-by-step explanation:

-3+2=-1

-12+2=-10

-11+2=-9

-2+2=0

which are all less than 1

Check the picture below.

so by graphing those two, we get that little section in gray as you see there, now, x = 6  is a vertical line, so we'll have to put the equations in y-terms and this is a washer, so we'll use the washer method.

[tex]y=4x\implies \cfrac{y}{4}=x\qquad \qquad y=2\sqrt{x}\implies \cfrac{y^2}{4}=x~\hfill \begin{cases} \cfrac{y}{4}=x\\\\ \cfrac{y^2}{4}=x \end{cases}[/tex]

the way I get the radii is by using the "area under the curve" way, namely, I use it to get R² once and again to get r² and using each time the axis of rotation as one of my functions, in this case the axis of rotation will be f(x), and to get R² will use the "farthest from the axis of rotation" radius, and for r² the "closest to the axis of rotation".

[tex]\stackrel{R}{\stackrel{f(x)}{6}-\stackrel{g(x)}{\cfrac{y^2}{4}}}\qquad \qquad \stackrel{r}{\stackrel{f(x)}{6}-\stackrel{g(x)}{\cfrac{y}{4}}}~\hfill \stackrel{R^2}{\left( 6-\cfrac{y^2}{4} \right)^2}-\stackrel{r^2}{\left( 6-\cfrac{y}{4} \right)^2} \\\\\\ \stackrel{\textit{doing a binomial expansion and simplification}}{3y-3y^2-\cfrac{y^2}{16}+\cfrac{y^4}{16}}[/tex]

now, both lines if do an equation on where they meet or where one equals the other, we'd get the values for y = 0 and y = 1, not surprisingly in the picture.

[tex]\displaystyle\pi \int_0^1\left( 3y-3y^2-\cfrac{y^2}{16}+\cfrac{y^4}{16} \right)dy\implies \pi \left( \left. \cfrac{3y^2}{2} \right]_0^1-\left. y^3\cfrac{}{} \right]_0^1-\left. \cfrac{y^3}{48}\right]_0^1+\left. \cfrac{y^5}{80} \right]_0^1 \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{59\pi }{120}~\hfill[/tex]

According to the described situation, we have that:

The decision rule is:

The value of the test statistic is of z = -0.866.

The claim is:

"Forty percent or more of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job were available"

At the null hypothesis, we consider that the claim is false, that is, the proportion is of less than 40%, hence:

[tex]H_0: p < 0.4[/tex]

We have a right-tailed test, as we are testing if a proportion is less/greater than a value. Since we are working with a proportion, the z-distribution is used.

Using a z-distribution calculator, the critical value for a right-tailed test with a significance level of 0.01 is of z = 2.327, hence, the decision rule is:

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

In this problem, the parameters are:

[tex]p = 0.4, n = 200, \overline{p} = \frac{74}{200} = 0.37[/tex]

Hence:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.37 - 0.4}{\sqrt{\frac{0.4(0.6)}{200}}}[/tex]

[tex]z = -0.866[/tex]

The value of the test statistic is of z = -0.866.

You can learn more about hypothesis tests at https://brainly.com/question/16313918

Answer:

Itsb

Step-by-step explanation:

Answer:

The slope is undefined.

Step-by-step explanation:

The slope of a line is its relationship between its change in verticalness and its change in horizontalness. In layman's terms, we call it rise over run. Slope can be useful for many things: to show how steep a line is, to write a line in slope-intercept form (y = mx + b), etc.

Recall that a line only needs two points to be formed. That's why slope matters so much. With lines, we only care about its steepness and its position on the coordinate plane, so slope knocks out one of those criteria.

One way to find slope is to use the definition of slope, the change in verticalness (y) divided by the change in horizontalness (x):

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

where m is the slope of the line;

and x1, y1, x2, and y2 are coordinates for points (x1, y1) and (x2, y2).

So let's use what we now know to solve the problem.

Since (-5,8) and (-5,9) are two points, they can form a line. So I can say that x1 = -5, y1 = 8, x2 = 5, and y2 = 9. Now, let's plug these numbers into the formula.

[tex]m=\frac{-9-8}{-5-(-5)}[/tex]

[tex]m = \frac{-17}{0}[/tex]

"Wait, what's going on? I thought I can't divide by 0." - You

Yes, exactly. But what we have here is a special case of a line, nothing more. Let me explain.

Lines don't always have a natural number for a slope, like m = 1. There are two special lines that deviate from the norm: horizontal lines and vertical lines.

Horizontal lines have a slope of zero. This is because they change in x, but not in y. So y appears as 0 in the formula: 0/x = 0. That's why horizontal lines have a slope of zero. They are usually written as y = C where C is some constant.

Vertical lines have an undefined slope. We're dealing with this type of line for our problem. They change in y, but not in x. So x appears as 0 in the formula: y/0 = undefined. We simply cannot divide by zero. That's why vertical lines have undefined slopes. They are usually written as x = C where C is some constant.

So there you go. (-5, 8) and (-5, -9) form a vertical line that has an undefined slope. And if you really want to know the equation for this line, it's x = -5.