A large rectangular office measures 9 yards by 15 yards. What is the area of the office?

The circumference formula is 168.6

where r is the radius given to us as 26.85, and pi is to be 3.14. In our formula then, we have

.

Doing that multiplication and rounding to the nearest tenth leaves us with a circumference of 168.6 inches.

Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].

Given:

The area of a rectangle = 14 square units.

The side lengths are a and b.

[tex]a=2\dfrac{1}{3}[/tex]

To find:

The value of b.

Solution:

We know that, the area of a rectangle is:

[tex]Area=Length\times Width[/tex]

The area of the given rectangle is:

[tex]14=a\times b[/tex]

[tex]14=2\dfrac{1}{3}\times b[/tex]

[tex]14=\dfrac{2(3)+1}{3}b[/tex]

[tex]14=\dfrac{6+1}{3}b[/tex]

On further simplification, we get

[tex]14=\dfrac{7}{3}b[/tex]

[tex]14\times 3=7b[/tex]

[tex]42=7b[/tex]

Divide both sides by 7.

[tex]\dfrac{42}{7}=b[/tex]

[tex]6=b[/tex]

Therefore, the value of b is 6 units.

Answer:18.4

Step-by-step explanation:add

Answer:120 meters

Step-by-step explanation:

8 × 15

Answer:

120 m

Step-by-step explanation:

Speed = 8 m/s

Distance traveled  in 1 sec = 8 m

Distance traveled in 15 sec = 8 * 15 = 120 m

I suppose that the value of y equals 2, seems how 4 times 2 what equal 8 and 8 times 2 would equal 16

Answer:

isabel saves the most of their salary each month

Step-by-step explanation:

Let us assume the Salary of Gavin, Harry & Isabel be $100

Since

Gavin saves 28%

So his saving amount is Gavin

= 28% of $100

= $28

As harry spends 3 ÷ 4 of his salary

So Harry Spenings is

= (3  ÷ 4) of $100

= $75

Now

Harry Saving is

= $100 - $75  

= $25

Also the ratio between isabel saves, and spend is 3:7

3k + 7k = 10k = 100S

 k = $10

Now

the amount of salary isabel saves

= 3k

= 3 × $10

= $30

Now

$30 > $28 > $25

i.e.

isabel Saving >  Gavin Savings > Harry Savings

Hence, isabel saves the most of their salary each month

Answer:

The function  is a parabola of the form . The the formula for the axis of symmetry of a parabola is. So it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

Answer:

D. it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

Answer:

3x^3-2x^2-4x+2( option A) remainder= 7

Step-by-step explanation:

Answer: [tex]x^{2} +12x+20[/tex]

Step-by-step explanation:

h(x)= (x+10)(x+2)

^ It is this way because it is so the x value will equal -10 and -2.

Now, we just distribute it. if the question does not have any points it passes through described in the problem, then it is pretty self explanatory.

x^2 + 2x+ 10x+ 20

= [tex]x^{2} +12x+20[/tex]

Answer:

f(x) = A(x - 2)(x - 10),

where A is real and A= 20.

Step-by-step explanation:

if I'm wrong I am so very sorry

Answer

umm, wheres the question?

Step-by-step explanation:

Answer:

2w + 60

Step-by-step explanation:

60 miles more than twice the distance -

2w + 60 | Multiply the distance to wilmington by two, then add 60 miles.

Answer:

Positive one

Step-by-step explanation:

this is the answer. this should help

Answer:

D)

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = 16² + 8²

                      = 256 + 64

                     = 320

hypotenuse = √320 = √2*2*2*2*2*2*5 = 2*2*2√5 = 8√5

Csc Ф = Hypotenuse/opposite side

         [tex]= \frac{8\sqrt{5}}{8}\\\\=\sqrt{5}[/tex]

Answer:

B. two

Step-by-step explanation:

The solution of the given graph will be one hence option (D) will be correct.

A graph, which is a diagrammatic depiction of a network, describes the connection between lines and points. A graph consists of various points and the separation between two of them.

It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.

For example to draw the equation y = 6x +9 this will draw a straight line in the coordinate geometry.

The solution of any equation is a point of intersection of a graph as we can see that the graph which is present in the question has only one intersection so there will be only one answer.

For more details about the graph

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Answer:

62.83 m

Step-by-step explanation:

Given that,

The radius of the circle, r = 15 cm

Major angle = 240°

We need to find the length of the bold arc. The formula used to find the arc length is given by :

[tex]l=\dfrac{\theta}{360}\times 2\pi r\\\\=\dfrac{240}{360}\times 2\pi \times 15\\\\=62.83\ m[/tex]

So, the length of the bold arc is equal to 62.83 m.

4468886443222234578889953

Answer:

2g + 4h

Step-by-step explanation:

[tex]\text{Combine Like Terms.}\\\\\\4g-6h-5g-3g+10h+6g\\\\4g-5g-3g+6g -6h+10h\\\\\boxed{2g+4h}[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

it's basically divided

Answer:

the line is in the grass because it divides and reflects the sky and mountain.

Answer:

The line of reflection in the picture above is on the x-axis.

Step-by-step explanation:

The line of reflection is the mirror line; the line across which a figure is "flipped" and in this case, the line of reflection is on the x-axis.

Answer:

37.5

Step-by-step explanation:

10%=25

5%=12.5

Answer:

The answer is A. y = 2x + 20; x is any integer greater than or equal to, 0 and y is any integer greater than or equal to 20

Step-by-step explanation:

Answer:

x = 4.5

Step-by-step explanation:

By geometric mean theorem:

[tex] {3}^{2} = 2 \times x \\ \\ 9 = 2x \\ \\ x = \frac{9}{2} \\ \\ x = 4.5[/tex]

Answer:

The slope of line q is [tex]-\frac{7}{8}[/tex].

Step-by-step explanation:

We know that line p has a slope of [tex]-\frac{7}{8}[/tex], and that line p and line q are parallel. Parallel lines always have the same slope. Thus, the slope of line q must be [tex]-\frac{7}{8}[/tex] as well.  

Answer:

your answer is A

Step-by-step explanation:

have a nice day!! ^_^

The coordinate of A` is (5,5) , the coordinate of B` is (5,1), the coordinate of C` is (2,1) and the coordinate D` is (1,5).

A pair of number that describes the exact position of a point on  a cartesian plane by using the horizontal and vertical lines is called the coordinate of a point. Coordinates are usually denoted by (x, y).

From the figure we can see that A` is 5 unites right of vertical line and 5 unit upward the horizontal line. So, the coordinate of A` is (5,5).

Similarly, B` is 5 unit right of vertical line and 1 unit upward the horizontal line. So, the coordinate of B` is (5,1).

C` is 2 unit right of vertical line and 1 unit upward the horizontal line. So, the coordinate of C` is (2,1).

And, D` is 1 unit right of vertical line and 5 unit upward of horizontal line. So, the coordinate of D` is (1,5).

Hence the coordinates of A`B`C`D` is (5,5), (5,1), (2,1) and (1,5) respectively.

To learn more about coordinates click here:

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