In the figure PQ || RS, find the value of x.

Answer:

y=4

Step-by-step explanation:

The triangle on the right is a 30-60-90 triangle

The ratio of sides in a 30-60-90 triangle is 1:√3:2

y:x:8

SO y will be 4 because 8/y=2/1

Answer:

Step-by-step explanation:

F:  3×26 = 78 ≠ 84

G:  4×21 = 84

H:  6×14 = 84

I:  7×12 = 84

Answer:

10,000 ft^2

Step-by-step explanation:

Let x represent length alongside Jane’s house and y represent width of garden.

We have been given that Jana has 200 feet of fencing to enclose a rectangular vegetable garden. One side of the garden will be alongside Jane’s house so only three sides will need to be fenced.

The fencing on 3 sides of garden will be equal to perimeter of garden on three sides.

p = x + 2y

200 = x + 2y

We know that area of rectangle is equal to length times width that is A = xy .

From perimeter equation, we will get:

x = 200 - 2y

Substituting this value in area equation, we will get:

A(y) = (200-y)y

Now, we need to find derivative of area of function.

A(y) = 200y - y^2

A'(y) = 200 - 2y

Now, we will set derivative equal to 0 to find critical points.

200 - 2y = 0

200 = 2y

y = 100

So thus the area will be maximum when 100.

A(y) = 200y - y^2

Substituting y for 100 we get A(100) = 10,000

9514 1404 393

Answer:

  (d)  27.4%

Step-by-step explanation:

The desired percentage is ...

  (juniors for Kato)/(total juniors) × 100%

  =  129/(129 +194 +147) × 100%

  = (129/470) × 100% ≈ 27.4%

About 27.4% of juniors voted for Kato.

Answer:

There are 200 employees, and the ratio is 5:3.

5+3 = 8

200/8 = 25

So, there are 5(25) = 125 men and 3(25) = 75 women.

There are 75 women who work for the company.

Let me know if this helps!

Answer:

x=0 and x=-7

Step-by-step explanation:

Since the answer is 0, one of the 2 parts in the equation has to be 0:

x(x+7)=0 either the "x" has to be 0 or the "x+7"

With this you can create 2 equations:

x=0 and x+7=0

These simplify to x=0 and x=-7

9514 1404 393

Answer:

  19. B -- continued, but modest ...

Step-by-step explanation:

19. There is no decline or decrease indicated on this graph. If growth were exponential, the graph would be concave upward, which it is not. There is continued growth indicated.

__

20. The percentage change from 2005 to 2010 is ...

  (60 -20)/20 × 100% = 2 × 100% = 200%

One might compute an average rate of change per year of ...

  200%/(5 yr) = 40%/yr

_____

Additional comment

As with any statement of percentage, you need to be very clear about what the base is.

Here, 100% is the number of farms in 2005, so an increase of 40% per year is an increase by 40% of the number in 2005. That is very different from 40% of the number in the previous year, which is how an annual percentage increase is usually interpreted. (The average annual rate of change is closer to 24% with respect to the previous year's number.)

9514 1404 393

Answer:

  $48.64

Step-by-step explanation:

The monthly payment amount is given by the amortization formula ...

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the loan amount, r is the annual interest rate compounded n times per year for t years.

Here, you have P=2000, r=0.16, n=12 (months per year), t=5 (years), so the payment is ...

  A = $2000(0.16/12)/(1 -(1 +0.16/12)^(-12·5)) = $320/(12(0.54828942))

  A ≈ $48.636 ≈ $48.64

You will need to pay $48.64 each month to pay off the charge in 5 years.

Answer:

c) centroid

Step-by-step explanation:

Answer:

x = 9

this is a ratio problem. You can see that 12/6 = 2, so you can also take 18/2 to get 9.

Answer:

the answer is 6

Step-by-step explanation:

Because 6 and x are corresponding angle so that means no matter what ( if u want the answer to how long the line is or what degree the angle is ) the answer is always going to be the same as the one above ( which is 6 )

Hop this helpssss

Answer:

26,37

Step-by-step explanation:

m=n-11

     m-n=-11-------(1)

m+n+8=71--------(2)

(1)+(2)

(m-n)+(m+n+8)=-11+71

m-n+m+n+8=-11+71

2m+8=60

2m=52

m=26

by substitute in (1)

          26-n=-11

         -n=-11-26

         n=37

Answer:

D. 104

Step-by-step explanation:

[tex]y \: \alpha \: \frac{1}{ {x}^{2} } \\ \\ y = \frac{k}{ {x}^{2} } [/tex]

when y is 26, x is 4:

[tex]26 = \frac{k}{ {(4)}^{2} } \\ k = 416[/tex]

when x is 2:

[tex]y = \frac{416}{ {x}^{2} } \\ \\ y = \frac{416}{ {(2)}^{2} } \\ y = 104[/tex]

Answer:

D; 104

This is the correct answer

Answer:

4

Step-by-step explanation:

Constant of proportionality refers to the slope of the line in this case, the slope of the line is (4-0)/(1-0)=4

Answer:

3 x 10⁶

Step-by-step explanation:

Sixth power of ten means 10 is raised to a power of 6. This means 6 will be in the exponent of 10 as 10⁶.

Answer:

The way this would be written out would look like this: 3x10^6. Hope this helps!

Answer:

m = (ps - b - uxs/t) / ux/t - p

Step-by-step explanation:

ux/t +b/m+s =p

multiplying throughout by (m+s) we get:

ux/t(m+s) + b = p(m+s)

open the brackets:

uxm/t + uxs/t + b = pm + ps

bring on one side of the equal sign all terms containg m, to make it the subject:

m(ux/t - p) = ps - b - uxs/t

m= (ps - b - uxs/t) / ux/t - p

Answer:

good morning

Step-by-step explanation:

hope u have a nice day

Answer:

Step-by-step explanation:

24 = 2³ × 3

20 = 2² × 5

Least common multiples of 24 and 20 = 2³ × 3 × 5 = 120

120 minutes after noon is 2:00pm

Answer:

dg

Step-by-step explanation:

24 = 2³ × 3

20 = 2² × 5

Least common multiples of 24 and 20 = 2³ × 3 × 5 = 120

120 minutes after noon is 2:00pm

Step-by-step explanation:

hope it helps u..........

and pls mark as brainliat ans

Answer:

[tex] \frac{5}{6} - \frac{1}{6} [/tex]

[tex] \frac{5 - 1}{6} [/tex]

[tex] \frac{4}{6} [/tex]

[tex] \frac{2}{3} [/tex]

hope this helps you

Step-by-step explanation:

Given that,

To find,

Firstly we'll find the base radius of the cylinder.

[tex]\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\[/tex]

According to the question,

[tex]\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\[/tex]

[tex]\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}\\[/tex]

[tex]\longmapsto\rm{4312 = 88 \times r^2 }\\[/tex]

[tex]\longmapsto\rm{\cancel{\dfrac{4312}{88}} = r^2 }\\[/tex]

[tex]\longmapsto\rm{49 = r^2 }\\[/tex]

[tex]\longmapsto\rm{\sqrt{49} = r }\\[/tex]

[tex]\longmapsto\rm{7 \; cm = r }\\[/tex]

Now,

[tex]\longmapsto\rm{Diameter = 2r }\\[/tex]

[tex]\longmapsto\rm{Diameter = 2(7 \; cm) }\\[/tex]

[tex]\longmapsto\bf{Diameter = 14 \; cm}\\[/tex]

The required answer is 14 cm.

Answer:

Step-by-step explanation:990

Step-by-step explanation:

the common increment is 20

Answer:

8, 13, 18, 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

Picture

Hi,

no need to use discriminant for that.

3(m)^2 = -6

m^2 = -6/3

m^2= -2

in R, there is no

solution as a square can not be negative.

Answer:

Step-by-step explanation:

Segment EF is mid-segment of ABCD ⇒ ( 2x - 4 ) + ( x - 5 ) = 2x

x - 9 = 0

x = 9

AD = 4

EF = 9

BC = 14

The length of segments AD, EF, and BC in the trapezoid are 4, 9 and 14 respectively

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

We have to find the lengths of AD, EF, and BC in the trapezoid

Segment EF is mid-segment of ABCD

So ( 2x - 4 ) + ( x - 5 ) = 2x

Now let us solve for x

2x-4+x-5=2x

Combine the like terms

x-9=0

x=9

So AD =x-5

=9-5= 4

EF = 9

BC = 2x-4

=18-4

=14

Hence, the length of segments AD, EF, and BC in the trapezoid are 4, 9 and 14 respectively

To learn more on Coordinate Geometry click:

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