If takes 660 metres of fence to enclose a rectangular field. if one side is 30 metres less that twice the other side, find the dimensions of this field (Please help)

Answer:

If the numerator is divisible by the denominator, the fraction is equivalent to a whole number. In other words, if you can divide the numerator by the denominator without any remainder, the fraction is equivalent to a whole number.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

that would look like this:

[tex]\frac{4+3x-1}{2}=9[/tex]

first, to remove the denominator (2), we should multiply both sides by 2. therefore, we get:

4 + 3x - 1 = 18.

now, we transpose 4 and -1 to the other side, in order to isolate 3x.

3x = 18 + 1 - 4

3x = 15

to find x, we divide both sides by 3. therefore, we get:

x = 5

Answer:

Step-by-step explanation:

[tex]4 + 3x - \frac{1}{2}=9[/tex]

Subtract 4 from both the sides

[tex]3x - \frac{1}{2}=9 - 4\\\\3x - \frac{1}{2}= 5[/tex]

Add (1/2) to both sides

[tex]3x = 5 + \frac{1}{2}\\\\3x = \frac{5*2}{1*2}+\frac{1}{2}\\\\3x=\frac{10}{2}+\frac{1}{2}\\\\3x=\frac{10+1}{2}\\\\3x=\frac{11}{2}\\\\x=\frac{11}{2*3}\\\\x=\frac{11}{6}[/tex]

Answer:

39 and 37

Step-by-step explanation:

76/2=n

n+1, n-1

Answer:

angle E is congruent to Angle F

Answer:

4

Step-by-step explanation:

To find the median (middle) of the data set, first arrange the numbers in order: 0, 2, 3, 4, 7, 7, 12. Now find the middle number: 4.

Hope it helps!

Answer:

4

Step-by-step explanation:

Answer:

204

Step-by-step explanation:

separate into 2 squares/rectangles

13×12(because 20-8 since you cut it in half)

8×6

156+48=204

Answer:

9,203.97 cm^3

Step-by-step explanation:

Here, we want to calculate the volume of the sphere of radius 13 cm

The formula for this;

V = 4/3 * pi * r^3

V = 4/3 * 3.142 * 13^3

V = 9,203.97 cm^3

Answer:

36

Step-by-step explanation:

30% of 120 is 120 x 0.3

120 x 0.3 =36.

Answer: 105

Step-by-step explanation:

101+95+59= 255

360-255=x

255+x=360

255+150=360

x=150

Answer:

Step-by-step explanation:

[tex]\frac{x+2}{x+10}=\frac{1}{2}\\ \\ 2(x+2)=x+10\\ \\ 2x+4=x+10\\ \\ 2x-x=10-4\\ \\ x=6[/tex]

Answer:

x=2,y=-5

Step-by-step explanation:

−4x+3=x−7

x=2; y=−5

​

Answer:

y = -5 and x = 2

Step-by-step explanation:

substitute y in the first equation with x-7 from the second equation

x-7 = -4x+3

combine like terms

5x = 10

solve for x

x = 2

plug in x into either equation to solve for y (I used the second equation, but you can use either)

y = 2-7

y =-5

Answer:

minimum: ([tex]\frac{\sqrt{3} }{3} , -\frac{8\sqrt{3} }{9}-2[/tex])

maximum: (-[tex]\frac{\sqrt{3} }{3} , \frac{8\sqrt{3} }{9}-2[/tex])

vertical intercept: (0 , -2)

Step-by-step explanation:

Answer:

the answer will be A

Step-by-step explanation:

Answer:

[tex]\dfrac{(a+b)}{ab}[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}[/tex]

It can be solved as follows :

[tex]\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}=\dfrac{a}{b(a-b)}+\dfrac{b}{a(b-a)}\\\\=\dfrac{a}{b(a-b)}+\dfrac{b}{-a(-b+a)}\\\\=\dfrac{1}{a-b}(\dfrac{a}{b}-\dfrac{b}{a})\\\\=\dfrac{a^2-b^2}{ab(a-b)}\\\\=\dfrac{(a-b)(a+b)}{ab(a-b)}\\\\=\dfrac{(a+b)}{ab}[/tex]

So, the solution of the given expression is equal to [tex]\dfrac{(a+b)}{ab}[/tex].

Answer:

slope is 5 y intercept is -6

Step-by-step explanation:

Answer:

a=11/12

Step-by-step explanation:

1/3+a=5/4

a=5/4 - 1/3

a=11/12

Answer:

11/12

Step-by-step explanation:

If we make both fractions have the same denominator, then it would be 4/12 + a = 15/12, so 15 - 4 = 11. So the answer would be 11/12.

Answer:

Step-by-step explanation:

a^2+b^2=c^2

17^2+7.6^2=c^2

[tex]\sqrt{17^2+7.6^2}[/tex]=c

c=18.6214

corrected to 1dp= 18.6 m

Answer:

gracias mijita mia flou del bueno se nesesita flou papumkñlovgjkAqwsZdeXrg

The perimeter of the actual object  is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square

Answer:

5 days

Step-by-step explanation:

skip counting

4, 6, 8, 10, 12 then count those and you have 5 days

Answer:

The answer would be 13 3/4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Estimation:

3 1/3 --> 3

4 1/8 --> 4

3 x 4 ~ 12

Hope that helps!

Answer:

using the (pi) which is the formula

9514 1404 393

Answer:

  it depends on what measure you want

Step-by-step explanation:

The angular measure of an arc of a circle is equal to the central angle it subtends.

  θ = θ

__

The length measure of an arc of a circle is equal to the product of the central angle in radians and the radius.

  s = rθ

Answer:

$5909.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 5575 × 0.03 × 2 = 334.5

I = $ 334.50

The simple interest accumulated

on a principal of $ 5,575.00

at a rate of 3% per year

for 2 years is $ 334.50.

Answer:

1) Volume of triangular pyramid = 33 cm³.

2) Volume of triangular prism = 99 cm³

Step-by-step explanation:

1) Volume of a triangular pyramid is given as;

V_py = ⅓Ah

Where A is area of base and h is height

We see from the diagram that;

A = 11 cm²

h = 9 cm

Thus; V_py = ⅓ × 11 × 9 = 33 cm³

2) Volume of triangular prism is given by;

V_pr = ½bhl

Where;

½bh is area of triangular cross section

l is length

We see from the diagram that ½bh = 11 cm² and L = 9 cm

Thus;

V_pr = 11 × 9 = 99 cm³

Answer:

2/3x + 29/12

Step-by-step explanation:

P.S Brace yourself cause this is a lot lol :D

The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

First, you divide each term by 12 and simplify:

Divide each term in 12y = 8x + 29 by 12:

12y/12 = 8x/12 + 29/12

Cancel the common factor of 12:

You do this by dividing 12y/12 leaving you just with y = 8x/12 + 29/12

Then you cancel the common factor of 8 and 12:

You do this by factoring 4 out of 8x:

y = 4 (2x)/12 + 29/12

Then you cancel even more common factors:

Factor 4 out of 12:

y = 4 (2)/ 4 (3) + 29/12

Then you cancel the common factor in that dividion (which is 4) Leaving you with 2x/3 + 29/12

Finally, you rewrite the expression:

y = 2/3x + 29/12

Answer:

a

Step-by-step explanation:

Answer:

12.5 is the awnser hope i helped

Step-by-step explanation:

Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').

The dilation is therefore:

(x,y) ............> (x',y')

Now, let's assume that the dilation factor is k.

Therefore:

x' = kx

y' = ky

Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.

Example:

Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.

Assume the dilation coefficient is k.

(x,y) are (2,4) and (x',y') are (4,8)

Therefore:

x' = kx .........> 4 = k*2 ..........> k = 2

or:

y' = ky ..........> 8 = k*4 .........> k = 2

Based on the above, the dilation coefficient would be 2.

Hope this helps :)

Answer:

First you have to find the ordered pairs for the shapes. Then figure out how much the pre-image was multiplied by. The number it was multiplied by is your scale value.

Step-by-step explanation:

I took the assessment. :)