The ratio of tables to chairs at the furniture store is 1:6. There are 30 chairs. How many tables are there?

Answer:

3

Step-by-step explanation:

Answer:

The answer to this question is X=3

Step-by-step explanation:

15x3=45

45+1=46

Hope my answer helps you!!!

Question:

A lighthouse is located on an island 3 miles from the closest point on a straight shoreline. If the lighthouse light rotates clockwise at a constant rate of 9 revolutions per minute, how fast does the beam of light move towards the point on the shore closest to the island when it is 52 miles from that point

Answer:

The beam of light moves at [tex]16278\pi[/tex] miles/min

Step-by-step explanation:

This question is illustrated with the attached image

Taking the instructions in the question, one at a time.

A revolution of 9 per minute implies that:

[tex]\frac{d\theta}{dt} = \frac{9 * 2\pi\ rad}{1\ min}[/tex]

[tex]\frac{d\theta}{dt} = 18\pi \frac{rad}{min}[/tex]

Take tan of the angle in the attachment:

[tex]tan(\theta) =\frac{52}{3}[/tex]

Differentiate both sides with respect to time

[tex]\frac{d\ tan(\theta)}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

Rewrite as:

[tex]\frac{d\ tan(\theta)}{d\theta} * \frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

In calculus:

[tex]sec^2(\theta) =\frac{d\ tan(\theta)}{d\theta}[/tex] -- Chain rule

So:

[tex]sec^2(\theta) *\frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

In trigonometry:

[tex]sec^2(\theta) = tan^2(\theta) + 1[/tex]

So:

[tex](tan^2(\theta) + 1)\frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

Recall that:

[tex]tan(\theta) =\frac{x}{3}[/tex]

[tex]((\frac{52}{3})^2 + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{52^2}{9} + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{2704}{9} + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{2704+9}{9})\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{2713}{9})\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

Recall that: [tex]\frac{d\theta}{dt} = 18\pi \frac{rad}{min}[/tex]

[tex](\frac{2713}{9}) * 18\pi =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex]2713 * 2\pi =\frac{1}{3} * \frac{dx}{dt}[/tex]

Multiply both sides by 3

[tex]3 * 2713 * 2\pi =\frac{1}{3} * \frac{dx}{dt} * 3[/tex]

[tex]3 * 2713 * 2\pi =\frac{dx}{dt}[/tex]

[tex]16278\pi =\frac{dx}{dt}[/tex]

[tex]\frac{dx}{dt} = 16278\pi[/tex] miles/min

Hence:

The beam of light moves at [tex]16278\pi[/tex] miles/min

Answer:

I'm afraid, we can't see the function

Step-by-step explanation:

Answer:

what function???? there's nothing there to look at

I can't see the statements

Answer:

confess and believe are the two main words.

Step-by-step explanation:

Just got this right :')

Answer:

Merit.

Step-by-step explanation:

To find the percentage that Sasha got, you can find the score out of the total score and multiply that by 100%.

Percentage = [tex]\frac{62}{80}[/tex] × 100%

                    = 77.5%

Since 77.5% falls in the Merit zone, Sasha got a merit in her music exam.

NO SPEAK ENGLISH SORRYYYY

The inequality explains the value of -4°C is greater than -9°C

It is known as inequality when both sides of a mathematical statement contain mathematical signs that are either less than or larger than one another.

It is given that,

-4°C >  -9°C

We utilize the "Greater than or equal to" sign in linear inequalities when the value of a variable is greater than or equal to a certain value. The "greater than" symbol (>), which has a sleeping line beneath it, is used to denote it. It is represented by the character (≥). 

Thus, the inequality explains the value of -4°C is greater than -9°C.

Learn more about inequality here:

brainly.com/question/19491153

#SPJ2

Answer:

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

It is true because the graph of [tex]y=x-12[/tex] passes through the point [tex](16,4)[/tex]

x = 16

y = 4

Substitute

4 = 16 - 12

4 = 4

Therefore, the answer is true.

Answer:

62.857142857143%

Step-by-step explanation:

Answer:

this is confusing. I'll try my best to sort it out for you. I'll tap in once I figure it out

Answer:

C. 30%

Have a great day! Good luck.

Answer:

C. 30%

Step-by-step explanation:

All you have to do is 45/150 to get the answer. Simplify that and get 3/10 which is also equal to 30%.

Hope this helps you

Answer:

-3,0

Step-by-step explanation:

Answer:

13 weeks because he loses 3 pounds per week

Step-by-step explanation:

269-251=39

39 divided by 3 = 13

13 weeks is your answer!

please mark brainliest please!!!

Answer:

0.1171875;

0.171875

Step-by-step explanation:

It is either a person is right handed or left handed

P(right handed) = 1/2

Probability of having 3 right handed people in a sample of 10 ;

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 3) = 10C3 * 0.5^3 * 0.5^7

P(x = 3) = 120 * 0.125 * 0.0078125

P(x = 3) = 0.1171875

Using R ;

P(x ≤ 3)

We can obtain these from R using ;

pbinom( r, n, p)

pbinom(3, 10, 0.5) = 0.171875

Answer:

H

Step-by-step explanation:

This is because a rectangle can be divided into two triangles.

Answer:

  c) parabola and circle: 0, 1, 2, 3, 4 times

  d) parabola and hyperbola: 1, 2, 3 times

Step-by-step explanation:

c. A parabola can miss a circle, be tangent to it in 1 or 2 places, intersect it 2 places and be tangent at a 3rd, or intersect in 4 places.

__

d. A parabola must intersect a hyperbola in at least one place, but cannot intersect in more than 3 places. If the parabola is tangent to the hyperbola, the number of intersections will be 2.

If the parabola or the hyperbola are "off-axis", then the number of intersections may be 0 or 4 as well. Those cases seem to be excluded in this problem statement.

Answer:

100 times

Step-by-step explanation:

doesn't matter if the number is in the same place value so, the answer is 100 times.

Answer:your

Step-by-step explanation:

mom

Answer:

I dont see the question...

Step-by-step explanation:

Answer:

Explanation:

f  (  − 3 )  basically means substitute  − 3  for  x  in the function  − 5 x

f

(

−

3

)

=

−

5

(

−

3

)

−

7

f

(

−

3

)

=

15

−

7

f

(

−

3

)

=8

Step-by-step explanation:

Answer:

Ava's

Step-by-step explanation:

To find whose plot of land is smaller, compare the sizes of their plots.

Jason's is 2/5 of an acre, while Ava's is 2/8 of an acre.

Because they have the same numerator, we can look at the denominator to see which is smaller.

The number with the larger denominator will be smaller. So, this means 2/8 is smaller than 2/5.

So, Ava's plot of land is smaller

Answer:

1 times 89 = 89 lol    1 x 7= 7

Step-by-step explanation:

hope this helps lol

Answer: m=3

Step-by-step explanation:

This could be written as m+5=8

You would then do the inverse to 'undo' the equation. So instead of adding 5 you would take away 5 from 8.

8-5=3

Hope this helps :)

Answer:

Step-by-step explanation:

yes that is correct!-2

Answer:

The diameter of the pond is 8.

Step-by-step explanation:

Diameter formula   d = 2r

So d = [tex]2*4[/tex]

d = 8

Answer:

the answer is 8

Step-by-step explanation:

so 4r x 2=8d

or

2(4r)=8d