The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground. The length of the playground is l and its width is w. The length of each side of the flower beds is a. Which two equivalent expressions represent the total fencing material required to surround the playground and flower beds? Assume that the playground and beds do not overlap. The total fencing material required to fence the playground and both flower beds is

Answers

Answer 1

Answer: Get the perimeter of the each shape and add it all up to get the total fencing material required.

2 square flower beds = 2 x 4a = 8a
1 rectangular play ground = 2l + 2w

total fencing material = 8a + 2l + 2w

Answer 2

Answer:

The total fencing material required to surround the playground and flower bedswill be 8a + 2l + 2w.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The boundary of a park is shaped like a circle.

The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground.

The length of the playground is l and its width is w.

The length of each side of the flower beds is a.

The total fencing material required to surround the playground and flower bedswill be

P = 2(perimeter of square) + perimeter of rectangle

Then the perimeter of the square will be

⇒ 4a

Then the perimeter of the rectangle will be

⇒ 2(l + w)

Then we have

P = 2 × 4a + 2(l + w)

P = 8a + 2l + 2w

More about the geometry link is given below.

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Please helppDetermine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x, y) -> (x - 2, y)No or yes if yes then is it a translation or reflection, if no then will it be small or with the size of the pre image be changed?
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Which figure is the image produced by applying the composition t 0,3 r 0,90 to figure R?A.

figure H

B.

figure I

C.

figure J

D.

figure R

Answers

Answer:

Option A is correct

The only figure after composition of $t_(0 , 3) (r_(0,90^(\circ)))$ to figure R is Figure H

Step-by-step explanation:

From the given figure in R;

The coordinates in Figure R ;

(1 , -1) , (2, -2) ,(4, -2) ( 0, -4)

Composite function defined as when one function is substituted into another function.

To Apply the composition $t_(0 , 3) (r_(0,90^(\circ)))$ to figure R;

First apply the Reflection $r_(0, 90^(\circ))$ in Figure R;

The rule of reflection is given by:

$(x,y) \rightarrow (-y,x)$

By applying the rule of reflection in Figure R ,

then, the coordinates becomes;

(1 , -1) $\rightarrow$ (1, 1)

(2 , -2) $\rightarrow$ (2, 2)

(4 , -2) $\rightarrow$ (2, 4)

(0, -4) $\rightarrow$ (4, 0)

Now, apply the translation $t_(0,3)$

Translation : It is a type of transformation that moves each point in a figure the same distance in the same direction.

then,

the rule of translation is:

$(x,y) \rightarrow (x+0,y+3)$

Apply the rule of translation on coordinates (1,1) , (2,2), (2,4) and (4,0)

then

(1 , 1) $\rightarrow$ (1+0 1+3) =(1,4)

(2, 2) $\rightarrow$ (2+0 2+3) =(2, 5)

(2, 4) $\rightarrow$ (2+0 4+3) =(2 ,7) and

(4, 0) $\rightarrow$ (4+0 0+3) =(4 ,3)

Then, the only figure after composition of $t_(0 , 3) (r_(0,90^(\circ)))$ to figure R is Figure H

Answer:

The correct answer is choice A) Figure H

Mr. Garcia's fourth grade class has 35 minutes to eat lunch every day. If their lunch begins at 11:15 a.m., at what time will their lunch end?

Answers

in this problem you can look at only the minutes. in 11:15, 11 can be considered 11 hours and 15 can be considered 15 minutes. We want to add the 35 minutes to the 15 since lunch begins at 15 minutes and ends 35 minutes after. Therefore 15 + 35 = 50 minutes. So the answer would be 11:50.

However, if lunch had started at 11:30, then we would have used 30 minutes as the start. This answer would be 30 + 35 = 65 minutes. But there is no time of 11:65. In this case since there are 60 minutes in an hour, you may subtract 60 from 65. Theb60 minutes we subtract will give us 1 hour instead and we can then add that to the 11 hours.
So
65 - 60 = 5 minutes
11 + 1 = 12 hours

Putting the 2 answers together is 12 hours and 5 minutes or 12:05

11:50

Let's take away the 11 hours. 15 plus 35 equals 50. So the answer is 11:50.

If (x^2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?(x + 2) ´ ______ = x^2 – 4

A. x^2 – 4
B. x – 2
C. x + 2
D. x^2 – 2

Answers

Option (b) $(x-2)$ is the correct answer.

A polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

So, $(x+2)*(x-2)$

$=x^(2) -2x+2x-4$

$=x^(2) -4$

Therefore, LHS is equal to RHS.

Hence, $(x-2)$ is the polynomial that should be filled in that place.

Learn more about polynomial, refer to:

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The answer is x-2 because dividing is the opposite of mutiplying. Hope this helps.

A family is staying in a hotel for 2 nights. The hotel costs $91.35 a night. About how much will they pay for the hotel?

Answers

All we need to do to find the correct answer is to double the prize for a night. I'll "cut" it into pieces so you can see exactly how I calculated it:

$91.35 * 2 =
= $90.00 * 2 + $1.00 * 2 + $0.35 * 2 =
= $180.00 + $2.00 + $0.70 =
= $182.70

Answer: They will pay $182.70 for two nights at the hotel.

what you would do is is add so

91.35
+91.35
------------
182.70

Every month Neha takes a fixed amount of ₹3750 from her mother for her expenses. What is the amount she is spending in a year. What is the quality reflected here?