Here is a scale drawing of a garden.
Tom wants to plant a tree in the garden according to the following rules:
it must be 4 m from A and 2 m from CD.
Place a cross where Tom can plant the tree.

Here Is A Scale Drawing Of A Garden.Tom Wants To Plant A Tree In The Garden According To The Following

Answers

Answer 1

The location of the tree can be found by taking point A as the origin of

coordinate plane, represented by the drawing area.

Response:

The the graph showing the location where Tom can plant the tree is attached.

Method used to find the location for planting the tree

The area Tom wants to plant the tree in the garden is given by the following rule;

Distance of the tree from A = 4 m

Distance of the tree from CD = 2 m

1 cm in the scale drawing = 2 m

Solution:

Taking point A as the origin, we have;

The location of the tree from point A is given by the radial length, r = 2 cm.

The distance of the tree from the line CD is given by the line, y = 1.5 cm,

given that 1 cm from CD = 1.5 cm from point A

Therefore, we have;

The y-coordinate of the location of the tree is; y = 1.5

Equation of the circular distance from A is; x² + y² = r²

Where;

r = 2

y = 1.5

We have;

x² + 1.5² = 2²

x² = 2² - 1.5² = 1.75

x = √(1.75)

The coordinate of the location of the tree from A is; (√(1.75), 1.5)

Please find attached, the graph showing the location where Tom can plant the tree in relation to point A.

Learn more about the coordinate plane here:

https://brainly.com/question/11252677

Here Is A Scale Drawing Of A Garden.Tom Wants To Plant A Tree In The Garden According To The Following

Related Questions

Q.10). ABC is a triangle right angled at C. A line through mid point M of hypotenuse AB and parallel to BC intersects AC at D.
Show that:
(I) D is the mid point of AC.
(ii) MD ⏊ AC.
(iii) CM = MA = 1/2 AB​

Answers

Answer:

In attachment I have answered this problem.↑↑

Hope this helps.

If you have any doubt, then you can ask me in the comments.

this graph shows how much lisa earns babysitting compared with thge number of hours she works

Answers

Answer:

For every hour she earns 12$

Step-by-step explanation:

If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!

8. You have been asked to repaint the lateral surface area of cone-shaped pylons used for soccer drills. If they have a radius of 5" and a height of 12", calculate the slant height and lateral surface area to be painted to the nearest square inch.??

Answers

Answer:

See answer below.

Step-by-step explanation:

LA = π rl

1st find l    

The radius is 5" and the height is 12"  l = ?

  h and the r is the two legs in the right triangle when drawn in a cone.

Use a²  + b² = c²     ⇔ h² + r² = l²

                                    12² + 5²  = l²

                                   144 + 25 = l²

                                     169 = l²

                                    [tex]\sqrt{169} = l[/tex]

                                        13 = l

Formula for LA = π r l

                  LA = 3.14 × 5 ×13  or with a calculator   LA = π × 5 × 13

                   LA = 204.1  sq.in                                   LA  = 204.2035225 sq. in

I use 3.14 = for π  but you know what the teacher uses in class.

What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 5x + 3; f(x) = -3



(2, [?]); ( ), ( )

Answers

Given that

[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]

Answer:

(2, - 3 ) and (3, - 3 )

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )

6(4x-3)-9x distributive property

Answers

Answer:

15x-18

Step-by-step explanation:

use pemdas

do parenthesis first

6(4x-3)-9x

24x -18 -9x

15x-18

The simplified expression after applying the distributive rule for the expression 6(4x - 3) - 9x becomes 15x - 18

The given expression is:

6(4x-3)-9x

Expanding the expression using the distributive rule

24x - 18 - 9x

Collect like terms

24x - 9x - 18 (since 24x and 9x are similar)

The resulting expression becomes:

15x - 18

The simplified expression after applying the distributive rule for the expression 6(4x - 3) - 9x becomes 15x - 18

Learn more on distributive property here:

https://brainly.com/question/4077386

-8, -11, -14, -17, -20, ...

Find the 30th term of this Arithmetic Sequence.

Answers

Answer:

-95

Step-by-step explanation:

formula in finding this is -3

Arithmetic Sequnce:

-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.

Carry on learning

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant to the previous term.

clearly, we see here, this constant is -3.

and we start with -8.

a1 = -8

a2 = a1 - 3 = -8 - 3 = -11

a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14

so, it becomes clear that

an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3

so,

a30 = -8 - 29×3 = -95

the problem solving plan indentify step to organize your information which of the following answers choices are included in the steps to organize your information?


A) organize the problem and find the question

B) solve the problem and change your strategy if necessary

C) write the facts, organize your thoughts and define your strategy

D) organize the step and underline the question​

Answers

that's the answer Just look at the picture's

During a sale, a store offered a 20% discount on a camera that originally sold for $650. After the sale, the discounted price of the camera was marked up by 20%. What was the price of the camera after the markup? Round to the nearest cent.

Answers

Answer:

$624

Step-by-step explanation:

650 * .80 = 520

520 * 1.20 = 624

what is the equation of a line when m=-7 and b=-8

Answers

Without seeing the equation i can assume it would be -7 (sign) -8 or -8 (sign) -7, -7/-8, -8/-7, and so on and so forth.

What is the value of y?

Answers

Answer:

40°

Step-by-step explanation:

We know that a triangle is equal to 180°

Since one angle is 50° we can figure out that the rest of the angles are equal to 130° (180° - 50°)

If we use 40° then 2·(40°) = 80°

and the second angle is 40° + 10° = 50°

if we add all the angles (80° + 50° + 50°) we get 180° which is correct.

what is the proportional relationship represented by this table?

Answers

what?? what table ???

Why do meats and vegetables cook much more quickly when there are metal skewers sticking through them

Answers

Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.

Step-by-step explanation:

By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.

2x+3y=15
x+y=6
work out the values of x and y.

Answers

Answer:

Step-by-step explanation:

Elimination sounds the easiest for y:

[tex]I - 2II: 2x+3y -2x -2y = 15-12 \rightarrow y= 3[/tex]

Now we got one value, let's replace in one of the two and find the second

[tex]II: x+(3)=6 \rightarrow x=3[/tex]

Answer:

[tex]2x + 3y = 15...(1) \\ x + y = 6...(2) \\ 2 \times (2) \\ 2x + 2y = 12...(3) \\ (1) - (3) \\ 0 + 3y - 2y = 15 - 12 \\ \color{red} \boxed{ y = 3 }\\ sub \: in \: (2) \\ x + 3 = 6 \rightarrow \: x = 6 - 3 \\ \color{green} \boxed{ x = 3 }[/tex]

112781+89809030248234812394124-8

Answers

Answer:

See picture

Step-by-step explanation:

My calculator only allows numbers up to 15 digitss-

djsjdjcvfb

Here

Work

Picture

I just want the points so please tell me I didn't just waste my time :'D

the shown bellow question answer

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Are of the given figure is ~

[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The area of the compound shape is equal to ~

Area of rectangle + Area of semi - circle

let's find the Area of rectangle ~

[tex]length \times width[/tex]

[tex]11 \times 4[/tex]

[tex]44 \: \: {cm}^{2} [/tex]

now, let's find the Area of Semicircle ~

[tex] \dfrac{ \pi{r}^{2} }{2} [/tex]

[tex] \dfrac{3.14 \times 2 \times 2}{2}[/tex]

[tex]6.28 \: \: c {m}^{2} [/tex]

So, Area of the given figure is equal to ~

[tex]44 + 6.28[/tex]

[tex]50.28 \: \: cm {}^{2} [/tex]

Question is atttached below

Answers

Answer:

  A.  20·60

Step-by-step explanation:

The product of force and distance is ...

  [tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]

Suppose that the function h is defined, for all real numbers, as follows

Answers

h(-3) = 1/4(-3) - 2 = -2.75
h(-1) = -((-1) - 1)^2 + 3 = -1
h(0) = -((0) - 1)^2 + 3 = 2

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

a. 2.3p – 10.1 = 6.4p – 4
b. 2.3p – 10.1 = 6.49p – 4
c. 230p – 1010 = 650p – 400 – p
b. 23p – 101 = 65p – 40 – p
e. 2.3p – 14.1 = 6.4p – 4

Answers

Hope helps!,,,,,,,!,,,,

pleaseeee, helppp, mee ill give brainiest if correct

Answers

Answer: Reflection

Step-by-step explanation: reflection: when a figure flips over a line

A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?

Answers

Y=3x-8 is the correct answer

Find the 60th term of the arithmetic sequence -10, 8, 26,

Answers

Answer:

a₆₀ = 1052

Step-by-step explanation:

There is a common difference between consecutive terms , that is

8 - (- 10) = 26 - 8 = 18

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 18 , then

a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052

Answer:

a(60) = 1052

Step-by-step explanation:

Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again.  Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:

a(n) = -10 + 18(n - 1)

Therefore, the 60th term is

a(60) = -10 + 18(59), or

a(60) = 1052


Evaluate each question below

Answers

Answer:

b=29 a=5.5 n=-13 r=12

Step-by-step explanation:

a: 5+8(4)=5+24=29

b: 3-5(-0.5)=3+2.5=5.5

c: 2(-2)^2-5=2(-4)-5=-8-5=-13

d= -3(-1-3)=-3(-4)=12

substitute the variable with the number and pedmas

variable is the letters in the equation: y=5+8x

PLEASE ANSWER NOWWWWW
340816.326531

Answers

Answer:

nearest whole number would be 340816

Answer:

340,816

Hope this helps :)

solve for g.

5.1g = 35.7

Answers

Answer:

g=7

Step-by-step explanation:

5.1 times 7 is 35.7

Answer:

Step-by-step explanation:

5.1g = 35.7

g = 35.7 / 5.1

= 7.

Does the following relationship represent a function?

Answers

No the relationship is not a function

What is its inverse? F= {5,-1),(4,8),(6,8),(4,9)

Answers

Answer:

Hence, f −1 (x) = x/3 + 2/3 is the correct answer.

Step-by-step explanation:

Verify (f ∘ f−1) (x) = x

(f ∘ f−1) (x) = f [f −1 (x)]

= f (x/3 + 2/3)

⟹ 3(x/3 + 2/3) – 2

⟹ x + 2 – 2

= x

Hence, f −1 (x) = x/3 + 2/3 is the correct answer.

Step-by-step explanation:

m(gradient) =y2-y1/x2-x1

=8-(-1) /4-5

=8+1/-1

=9/-1

=-9

y-y1=m(x-x1)

y-(-1)=-9(x-5)

y+1=-9x+45

y=9x+45-1

y=9x+44(rule)

Inverse>y+44=9x

y+44/9=9x/9

x=y+44/9

Therefore inverse is y=x+44/9

The points (0, 0) and (5, 10) lie in the graph of this linear function. Which equation represents the same linear function? A. B. x = 5 C. D. y = 2x

Answers

Answer:   y = 2x, D.

Step-by-step explanation:  We can calculate the slope of the line between these two points:  Rise/Run:

Rise: (10-0)=10

Run:  (5-0) = 5

Rise/Run = 10/5 = 2

The y-intercept is zero (it is the value of y when x=0, which we are given as (0,0)).

The line between these two points is thus y=2x+0, or

y = 2x.  Looks like D.

Answer:

D. y=2x

Step-by-step explanation:

0x2=0 and 5x2=10. That's really it, simple math

If the area of a rectangle is x^2+5x+6, and x represents 15 cm, what is the perimeter of the rectangle?

Answers

Answer:

To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.

Step-by-step explanation:

Somebody, please help me with this MATH question.

Answers

Answer: F(x)= 4,800(1.5)^X

A person wins $25,000 on a game show and a trip to Costa Rica worth $5,700. Does he have any tax obligation from these winnings?

Answers

Answer:

Yes

Step-by-step explanation: All of these winnings become part of his gross income.

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