A rectangular garden has a length of 10.25 feet and a width of 6.2 feet. Another rectangular garden has a length of 20.5 feet and a width of 12.4 feet. How many times greater is the area of the larger garden than the area of the smaller garden?

Answer:

12cm^2

Step-by-step explanation:

The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area

The quadrilateral shown is a trapezoid

It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid

Now that we have identified the type of quadrilateral that the figure is, let's find the area.

Area of a trapezoid formula:

A = (a+b/2)h

Where a and b = bases and h = height

* Identify variable of quadrilateral shown*

( Note that each unit = 1cm )

The bases have lengths of 4 units (4cm) and 2 units (2cm)

The height can be represented by an imaginary line from a to c

From a to c is 4 units (4cm)

Now that we have identified the variables let's plug them into the formula

A = (a+b/2)h

a = 4

b = 2

h = 4

* Plug the variables into the formula *

A = (4+2)/(2)4

If you plug this into a calculator you get that the area is 12

If you need the work for evaluation here it is:

Evaluate using PEMDAS

Parenthesis

Exponents

Multiplication and Division ( left to right)

Addition and Subtraction ( left to right )

(4+2)/2 * 4

First step is to evaluate the operations inside of the parenthesis (4+2)

6/2 * 4

The next step is to evaluate exponents

There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right

First comes division

3 * 4

Then multiplication

A = 12.

9514 1404 393

Answer:

  C

Step-by-step explanation:

The ratio of highest-degree terms gives the horizontal asymptote:

  (-2x)/(x) = -2

The horizontal asymptote of this function is y = -2. The only graph that shows that is graph C.

Answer:

b

Step-by-step explanation:

Answer:

[tex]x - 3[/tex]

Step-by-step explanation:

Given

[tex]Volume = x(x - 3)(x + 4)[/tex]

Required

The shortest side

The volume of a rectangular prism is:

[tex]Volume = Length * Width * Height[/tex]

By comparison, we have:

[tex]Length = x[/tex]

[tex]Width = x-3[/tex]

[tex]Height = x + 4[/tex]

In ascending order, the sides are:

[tex]Width = x-3[/tex]

[tex]Length = x[/tex]

[tex]Height = x + 4[/tex]

This is so because:

Irrespective of the value of x

x - 3 will be less than x

x + 4 will be more than x

Hence, the shortest length is:

[tex]Width = x-3[/tex]

Answer:

b

Step-by-step explanation:

Answer:

2.4 mass increase

Step-by-step explanation:

6-3.6=2.4

Answer:

67%

Step-by-step explanation:

formula is = the new weight - the old weight/the old weight ×100%

=6-3.6/3.6 ×100%

=2.4/3.6×100%

=0.6666×100%

=66.6% approximately

67%

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

[tex]4 + 2x = 4x - 20[/tex]

[tex]4 + 20 = 4x - 2x[/tex]

[tex]24 = 2x[/tex]

[tex]x = 12[/tex]

Answer:

By comparing of elements of both matrices, we will get,

[tex]x + y = 5 \: \: \: - - - (1) \\ \sf \: and \\ x - 2 = 3 \\ = > x = 3 + 2 \\ = > \green{ \boxed{x = 5}} \\ \\ so \: \: from \: eqn.(1) \\ 5 + y = 5 \\ = > y = 5 - 5 \\ = > \green{ \boxed{ y = 0}}[/tex]

[tex]\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \sf \: mark \: \\ me \: as\\ \bf \: brainliest \: \end{array}}}} \\ [/tex]

Answer:

10x-4 feet

Step-by-step explanation:

The perimeter is the amount of the sides together so add the three sides together

2x+1+4x-4+4x-1

Combine like terms

10x-4

(You can also factor out 2 but that would not be simplest --> 2(5x-2))

Answer:

Step-by-step explanation:

The shorter arc is 22 cm.

Arc length formula:

Circumference formula:

Use the first formula to work out the value of C:

Length of arc=L=22cm

We know

[tex]\boxed{\sf L=\dfrac{\Theta}{360}\times πr}[/tex]

[tex]\\ \sf\longmapsto 22=\dfrac{45}{360}\times 2πr[/tex]

[tex]\\ \sf\longmapsto \dfrac{2πr}{8}=22[/tex]

[tex]\\ \sf\longmapsto {2πr=176}[/tex]

[tex]\\ \sf\longmapsto Circumference=176cm[/tex]

Answer:

75% of the specials served were salmon fillets

Step-by-step explanation:

We have that:

15 + 5 = 20 specials were served.

Of those, 5 were salmon fillets.

What percentage of the specials served were salmon fillets?

15*100%/20 = 75%

75% of the specials served were salmon fillets

Answer:

11m

I did it by Geometry and used the scale : 1cm represents 5m

Complete question is;

An online store receives customer satisfaction ratings between 0 and 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings?

Answer:

50

Step-by-step explanation:

We are told that In the first 10 ratings the store received arithmetic mean of the ratings = 75.

Thus;

Sum of the first 10 ratings = 75 × 10 = 750

Now, for the mean of the first 20 ratings to be at least 85, it means that the sum of the first 20 ratings would be; 85 × 20 = 1700

Thus, the sum of the next 10 ratings would be; 1700 − 750 = 950.

If maximum rating = 100, then the maximum possible value of the sum of the 12th to 20th ratings is given by;

9 × 100 = 900.

Now, in order to make the store have an average of at least 85 for the first 20 ratings, the least value for the 11th rating is;

950 − 900 = 50

Answer:

20

Step-by-step explanation:

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Answer:

452.16 cm²

Step-by-step explanation:

Given :-

To find :-

Solution :-

As we know that ,

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times {12}^{2} \\ = \pi \times 144 \\ = 3.14 \times 144 \\ = 452.16 {cm}^{2} \\ thank \: you[/tex]

Answer:

21. C, 24.B

Step-by-step explanation:

Since the y-value for x = 0 is not zero, the function cannot have sine in it because sin of 0 is always 0. Therefore, the function will have cos in it. That leaves only B and C left. Since cos(0) is always 1, and the value of y when x = 0 is 0.5, the function will have 1/2 multiplied by a cos function. The only answer option that has that is C.

Now, for the next problem, we know the values of all three sides, and we need to find one angle. We can use the law of cosines for this and plug the values into the equation:

[tex]55^2=40^2+24^2-2(40)(24)\cos(C)[/tex]

We can subtract 40 squared plus 24 squared from both sides to get

[tex]849=-2(40)(24)\cos(C)[/tex]

Negative two times 40 times 24 equals -1920. Dividing -1920 from both sides gets us

[tex]\frac{849}{-1920}=\cos(C)[/tex]

Plugging this equation into a calculator and solving for C, we get the answer as approximately

C = 116.24353.

This rounds to 116.2

Answer: a = 115°

Reason Co interior angles add up to 180°

a + 65 = 180

a = 180 - 65

a = 115

Answered by Gauthmath must click thanks and mark brainliest

Answer:

the answer is three , but let me try to help explain...

in a line the slope (M) as in y=mx + b

is a constant number ... rise over run for every unit in the x direction the y changes by that amount

in your graph what you have to do is locate where the red line crosses the grid in a "nice"  (at the corner of a box).... notice that at the 2 for yards it exactly crosses at the 6 for feet...

that suggests that the "slope", "proportional constant" ,rise over run".

"gradient"  what ever the word you want to use is 6/2 which is 3

Step-by-step explanation:

Answer:

the process is correct

Step-by-step explanation:

hope u like it

Answer:

yes, it is B

Step-by-step explanation:

every input value of x has an unique result value y.

there are no 2 values for x that produce the same result value y.

and there are no multiple result values possible for a subject x value.

bottom line, yes, it is a function, and a 1:1 function at that.

Answer:

B

Step-by-step explanation:

answer is slope =2

use formula y2-y1 over x2-x1

two points of graph is (6,6) and (1,-4)

since 6 and -4 are both y, we take 6-(-4) over 6-1

we get 2

ask for further explanation if you need!!❤

Step-by-step explanation:

Draw diagonal AC

The triangle ABC has sides 17 and 25

Say AB is 17, BC is 25

Draw altitude on side BC from A , say h

h = 17 sin B

Area = 25*17 sin B = 408

sin B = 24/25

In ∆ ABC

Cos B = +- 7/25

= 625 + 289 — b^2 / 2*25*17

b^2 = 914 — 14*17 = 676

b = 26

h = 17*24/25 = 408/25 = 16.32

Draw the second diagonal BD

In ∆ BCD, draw altitude from D, say DE =h

BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2

BD^2 = 16.32^2 + (25 + 4.76)^2

= 885.6576 + 266.3424

BD = √ 1152 = 33.94 m

Answer:

Step-by-step explanation:

Hello!

(5x+4) /( (x-4)( x+2))

(5x+4)/ (x² +2x -4x -8)=

(5x+4) /( x²-2x -8)

Answer:

Hello,

remainder is 15/8

Step-by-step explanation:

[tex]\begin{array}{c|ccc|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&1&1&1\\x=\dfrac{1}{2} &&\dfrac{1}{2} &\dfrac{3}{4} &\dfrac{7}{8} \\---&---&---&---&---\\&1&\dfrac{3}{2}&\dfrac{7}{4}&\dfrac{15}{8}\\\end{array}\\\\\\x^3+x^2+x+1=(x-\dfrac{1}{2} )*(x^2+\dfrac{3}{2}x+\dfrac{7}{4}) +\dfrac{15}{8}[/tex]

7^2/7^-2 and (7^2)^2

Answer:

x = cost of daylily = $12

y = cost of ivy = $2

Step-by-step explanation:

Let

x = cost of daylily

y = cost of ivy

Scott:

12x + 13y = 170

Ashley:

14x + 2y = 172

12x + 13y = 170 (1)

14x + 2y = 172 (2)

Multiply (1) by 14 and (2) by 12

168x + 182y = 2380 (3)

168x + 24y = 2064 (4)

Subtract (4) from (3) to eliminate x

182y - 24y = 2380 - 2064

158y = 316

y = 316/158

y = 2

Substitute y = 2 into (1)

12x + 13y = 170 (1)

12x + 13(2) = 170

12x + 26 = 170

12x = 170 - 26

12x = 144

x = 144/12

x = 12

x = cost of daylily = $12

y = cost of ivy = $2

Answer:

The function f stretched vertically by a factor of 2 and translated down by 3 units. ---> [tex]g(x) = 14x +7[/tex]

The function f reflected about the y-axis and translated 3 units left.  ---> [tex]g(x) = -7x-16[/tex]

The function f stretched vertically by a factor of 3 and translated up by 2 units.  ---> [tex]g(x) = 21x +17[/tex]

The function f translated 2 units down and 3 units right. ----> [tex]g(x) = 7x -18[/tex]

Step-by-step explanation:

Explanation could not be submitted; So, I added it as an attachment

Answer: answer below :)

Step-by-step explanation:

Answer:

14.3

Step-by-step explanation:

sin73 = opposite/hypotenuse = x/15

x = 15sin73 = 14.344571 = 14.3

Answer: x = 20

Step-by-step explanation:

Given

x - 19 = 1

Add both sides by 19

x - 19 + 19 = 1 + 19

x = 20

Hope this helps!! :)

Please let me know if you have any questions