Randy is building a fence at the side of his warehouse. He has 120 m of fencing and plans to use the
side of the warehouse as one side of the rectangular fenced area. What are the dimensions of the
maximum area Randy can enclose?​

Answer:

Step-by-step explanation:

3/4 t = 2/3

Multiply both sides of the equation by 4/3

4/3 * 3/4 t = 4/3 * 2/3

Reduce the numbers with G.C.F 4

1/3 * 3t = 4/3 * 2/3

Reduce the numbers with G.C.F 3

t = 4/3 * 2/3

Multiply the fractions

t = 8/9

Hope this helps...

Good luck on your assignment...

Answer:

[tex]t= \frac{8}{9} \\ [/tex]

Step-by-step explanation:

[tex]3/4t=2/3 \\ \frac{3}{4} t = \frac{2}{3} \\ cross - multiply \\ 3t \times 3 = 4 \times 2[/tex]

[tex]9t = 8 \\ divide \: both \: sides \\ of \: the \: equation \: by \: 9 \\ \frac{9t}{9} = \frac{8}{9} [/tex]

[tex]t = \frac{8}{9} [/tex]

Answer:

3 and 15

Step-by-step explanation:

Factors of 30

30 = 2 , 3 , 5 , 6 , 10, 15  

Odd numbers are: 3, 5, 15

Odd number & multiple of 3  are: 3 and 15

The required two odd numbers are 3 and 5.

We have to determine,  It is a factor of 30 and a multiple of 3 what are 2 numbers.

To obtain the factor of 30 and 2 numbers is calculated in the following steps.

The Factors of 30 are,

30 = 2 , 3 , 5 ,

And multiply the terms by 2,

[tex]= 2\times 2 , \ 2 \times 3,\ 2 \times5 \\\\=4, \ 6,\ 10[/tex]

After multiply by 2 all the term become even.

Then,

The 2 odd numbers are: 3, 5

Hence, The required two odd numbers are 3 and 5.

To know more about Odd numbers click the link given below.

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[tex]

5-6x=8x+17 \\

-14x=12\implies x=-\frac{6}{7}

[/tex]

Hope this helps.

Answer: -6/7

Step-by-step explanation: 5 - 6x = 8x + 17

                                             5 + - 6x = 8x + 17

                                            -6x + 5 = 8x + 17

                                            -6x + 5 - 8x = 8x + 17 - 8x

                                            -14x + 5 = 17

                                            -14x + 5 - 5 = 17 - 5

                                           -14x = 12

                                            -14x/-14 = 12/-14

                                             x = -6/7

Answer:25

Step-by-step explanation:

Get monkeyd

Answer:

If x represents the no. of adults

and y represents the children, then

x + y = 550

9x + 3.50y = 3575

Answer:

Step-by-step explanation:

Number of children = y

Number of adults = x

Total people = 550

x + y = 550 ------------------ (I)

Charge for 'y' children =3.50 * y = 3.5y

Charge for 'x' adult = 9 * x = 9x

Total amount = $ 3575

9x  + 3.5y = 3575 -------------(II)

Multiply equation (I) by (-9)

(I)*(-9)  -9x - 9y = -4950  

(II)         9x  + 3.5y = 3575  { Now add and so 'x' will be eliminated}

                  - 5.5y   =  -1375

y = -1375/-5.5

y = 250

Plug in y = 250 in equation (I)

x + 250 = 550

            x = 550 - 250

            x = 300

Number of children = 250

Number of adults = 300

Answer:

[tex]\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }[/tex]

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

[tex]f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)[/tex]

So we can say that

[tex]a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}[/tex]

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

[tex](x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab[/tex]

and we can notice that

[tex]a^2+b^2=(a+b)^2-2ab[/tex] so

[tex](x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab[/tex]

it comes

[tex]x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}[/tex]

multiply by 3

[tex]3x^2-20x+2*16+5=3x^2-20x+37[/tex]

Answer:

-3-7

Step-by-step explanation:

-3-7=10

Answer:

-3 - 7.

Step-by-step explanation:

-3 - 7 = -10.

Answer:

17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Side T = t

Side V = 14

Side U = 11

The value of t can be obtained by using cosine rule as show below:

t² = u² + v² – 2uv cosT

t² = 11² + 14² – 2×11×14 cos 87°

t² = 121 + 196 – 308 × Cos 87°

t² = 300.88

Take the square root of both side

t = √300.88

t = 17.3

Therefore, the value of t is 17.3

Answer:

90 degrees

Step-by-step explanation:

Answer:

you didn't specify much!

So I am saying they are 45° each and that make the sum of both 90°

Step-by-step explanation:

According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,

Answer:

133.97 cm³

Step-by-step explanation:

The volume of a cone is given by:

[tex]V = \frac13 \pi r^2h[/tex]

r is half the diameter, so 4 cm

h is 8 cm

So:

V= 1/3 * 3.14 * 16 * 8 ≈ 133.97 cm³

Answer:

a=3,b=5

Step-by-step explanation:

[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} } [/tex]

so as you got it:

[tex] \frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5[/tex]

Answer:

0

Step-by-step explanation:

If we factor out √5a from the numerator we have √5a * (√4 - √9 + √1) / √5a. √5a cancels out so we are left with √4 - √9 + √1 which equals 2 -  3 + 1 = 0.

Answer:

answer is 1

Step-by-step explanation:

The scale factor of triangle ABC to triangle DEF is 1. Therefore, the correct answer is option D.

In the given triangle ABC, AB=5 units, BC=5 units and AC=5 units and in triangle DEF, DE=5 units, DF=5 units and EF=5 units.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, the scale factor of ABC to DEF is

AB/DE = BC/EF = AC/DF = 5/5 = 1

Therefore, the correct answer is option D.

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Answer:

Step-by-step explanation:

8c2×6c2=((8×7)/2)×((6×5)/2)=28×15=420

Answer:

1.  A. No

2. A. Yes

Step-by-step explanation:

1. B.   Because the numbers to the left of 7 are smaller than the numbers to the right of 7 on the number line.

2. B. Because to the right side has more numbers than the left side so amber is correct

Answer:

-721 is greater than -723.

Step-by-step explanation:

Answer:

x < - 721

Step-by-step explanation:

x < - 721 is the one according to the pictured line

Answer:

The measure of angle XYZ will be 120° because the included arc of an inscribed angle will always be twice the measure of the inscribed angle

Answer:wrong. Its 249 degrees

Step-by-step explanation:

Just got it right on the quiz

Answer:

0.7

if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root

Hope this helps

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

0.49 = 49/100

√(49/100)

√49/√100

7/10

= 0.7

Answer:

Area = 4.5 cm²

Step-by-step explanation:

Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]

Where Base = 3 cm, Height = 3 cm

So,

Area = 1/2 (3*3)

Area = 9/2

Area = 4.5 cm²

Answer:

About 8595 students

Step-by-step explanation:

If approximately 9/20 of the students are male, multiplying this by the total number of students enrolled will give a good approximation of the total number of enrolled males. 9/20 * 19100=8595. Hope this helps!

Answer:

8595

Step-by-step explanation:

9/11 is the ratio of male to female

9/20 of students are male and 11/20 are female

If total number is 19100,

then male= 19100*9/20= 8595

Answer:

T = $1.50C + $1.00L

Step-by-step explanation:

Chocolate chip cookies - $1.50/dozen

C: # of dozens of chocolate chip cookies

↓

$1.50C

Lemon Frosteds - $1.00/dozen

L: # of dozens of lemon frosteds

↓

$1.00L

T(total) = $1.50C + $1.00L

Hope that helps.

Answer:

PV= $86,998,184.72

Step-by-step explanation:

Giving the following information:

Annual payments= $17,285,714.29

Number of years= 7

Interest rate= 9%

First, we need to determine the future value incorporating the interest rate.

FV= {A*[(1+i)^n-1]}/i

A= annual payment

FV= {17,285,714.29* [(1.09^7) - 1]} / 0.09

FV= $159,036,085.1

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 159,036,085.1/1.09^7

PV= $86,998,184.72

Answer:

2 cm.

Step-by-step explanation:

The entire base is 10 cm and the top is 8 cm, so b is 10 - 8 = 2 cm.

Hope this helps!

I hope this helps you

b+8=10

b=2

Answer:

11, 17, and 28.

Step-by-step explanation:

[tex]x, y, z\\[/tex]

Lowest number is [tex]x[/tex]

Median is [tex]y[/tex]

Highest number is [tex]z[/tex]

[tex]x=11\\y=17\\\\z-x=17\\z-11=17\\z-11+11=17+11\\z=28\\\\x=11\\y=17\\z=28\\\\11, 17, 28[/tex]

The three numbers are 11 , 17 and 24

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = a

Let the second number be = b

Let the third number be = c

And , the lowest number is 11

So , the value of a = 11

The median is 17

So , the value of the middle number b = 17

Now , the range of the three numbers = 13

So , the maximum value - minimum value = 13

Substituting the values in the equation for range , we get

c - a = 13

c - 11 = 13

Adding 11 on both sides , we get

c = 11 + 13

c = 24

Therefore , the value of a = 11 , b = 17 and c = 24

Hence , The three numbers are 11 , 17 and 24

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Answer:

588 units^2

Step-by-step explanation:

To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.

This is 3.5 multiplied by their original measures:

Length = 3.5 x 8 = 28

Width = 3.5 x 6 = 21

Now, area =. LxW = 588 units^2

Hope this helps

Answer:

588 units squared

Step-by-step explanation:

We have a rectangle that has dimensions 8 units by 6 units.

From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:

new length = 8 * 3.5 = 28 units

new width = 6 * 3.5 = 21 units

Given this, we can now calculate the area.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width.

Here, the length is l = 28 and the width is w = 21. Plug these in:

A = lw

A = 28 * 21 = 588

The answer is thus 588 units squared.

~ an aesthetics lover

Answer:

  y = 2x +10

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:

  m = -1/(-1/2) = 2

Using the above point-slope form equation, we can write the equation of line t as ...

  y -4 = 2(x -(-3))

  y = 2x +6 +4 . . . . add 4, simplify

  y = 2x +10 . . . . equation of line t

Answer:

-4<n≤5

If you are using another variable just replace it in.

The information in the number line is an interval (-4,5]

Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5 and it is represented as (1,5)

Given here, the line extends to -4 and ends at 5 but the it is open on the LHS and closed on the RHS and thus the interval notation is (-4,5]

Hence the interval represented in the number line is  (-4,5]

Learn more about interval notation here:

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Answer:

Answer is option a) 4:5

Step-by-step explanation:

[tex]the \: ratio \: \frac{4}{5} can \: \\ also \: be \: written \: as \: 4 : 5[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

 90°

Step-by-step explanation:

∆GFD is an isosceles right triangle, so angle FDG is 45°. Segment DF bisects angle EDG, so that angle is 90°.

Arc AG is the other half of the semicircle AGE that includes 90° arc GE.

So, arc AG is 90°.

__

Comment on the problem

"a" and "b" are irrelevant to arc AG. They come into play for arc CE.