A patio deck in the shape of a parallelogram has three square cutouts for trees to grow through each square has a side length of 4 1/2 ft what area of wood boards is needed to cover the deck while leaving room for the square cutouts

Answers

Answer 1

Answer:

1048.05 square feet.

Step-by-step explanation:

The area of the deck is 50.4 x 22 = 1108.8 square ft.

The area of 1 cut out is 4.5 x 4.5 = 20.25

There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.

The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.


Related Questions

The circumference of a circle is approximately 39.25 mm. What is the length of the diameter?

Answers

Answer:

12.5 millimeters (mm).

Step-by-step explanation:

Explain/define:

CIRCUMFERENCE: THE DISTANCE AROUND A CIRCLE.

DIAMETER: THE LENGTH OF A STRAIGHT LINE THROUGH THE CENTER OF A CIRCLE.

Mathematics: Formula

[tex]d=c/3.14[/tex]

[tex]d-diameter[/tex]

[tex]c-circumference[/tex]

Mathematics: Solve

To find the length of the diameter from the circumference, divide the circumference by pi. The quotient is the diameter.

3.14 is often used for pi.

[tex]39.25/3.14=12.5.[/tex]

Conclude:

Therefore, the length of the diameter of the circle is 12.5 millimeters (mm).

Sanjay uses the steps below to solve the equation 4 p + two-fifths (10 + 2 p) = 8. Step 1 Multiply both sides of the equation by Five-halves. 4 p + 10 + 2 p = 20 Step 2 Simplify like terms. 6 p + 10 = 20 Step 3 Subtract 10 on both sides of the equation. 6 p = 10 Step 4 Divide both sides of the equation by 6. p = StartFraction 10 over 6 EndFraction = Five-thirds = 1 and two-thirds Which is the first error that Sanjay made when finding the solution?

Answers

Answer:

Step 1 Multiply both sides of the equation by Five-halves

Step-by-step explanation:

First mistake:

Step 1 Multiply both sides of the equation by Five-halves

Correct First step:

Should have subtracted 4p from both sides

Answer:

In step 1, he did not multiply 4p by Five-halves when multiplying both sides by Five-halves.

Step-by-step explanation:

Just got it right on edge!! Hope this helps, have a great day!

Using the tables as experimental data, determine whether it is more likely for a new food establishment to succeed and earn up to $25,000, or whether it is more likely for a new financial establishment to succeed and earn profits in either the $25,000-50,000 range or the $50,000-75,000 range, and how much more likely the one situation is than the other. Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 23% is 5 percentage points greater than 18%). a. The situation involving the financial establishment has a probability 11.14 percentage points higher than the situation involving the food establishment. b. The situation involving the financial establishment has a probability 12.03 percentage points higher than the situation involving the food establishment. c. The situation involving the food establishment has a probability 2.08 percentage points higher than the situation involving the financial establishment. d. The situation involving the food establishment has a probability 2.36 percentage points higher than the situation involving the financial establishment.

Answers

More info? i don’t understand more information

The situation involving the food establishment has a probability of "2.08 % " points higher than the situation involving the financial establishment

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The question is incomplete, as the required table which is not given.

we have the following parameters:

The probability that the establishment earns up to $25k = 10.59%

The probability that the establishment earns between $25k - $50k or $50k - $75k = 8.56%

Using the above values, the difference in the probabilities are;

d = 10.59% - 8.56

d = 2.03%

Hence, the true statement about the probability is option (d)

Read more about probability at:

brainly.com/question/251701

#SPJ7

p l e a s e h e l p
(Only spaced it cus I needed 20 characters, danke)

Answers

Answer:

y = 63

Step-by-step explanation:

A straight line is equal to 180 degrees.

180 = 2y - 18 + y + 9

180 = 3y -9

189 = 3y

189/3

y = 63

Answer:

63

Step-by-step explanation:

2y-18+y+9=180 degrees

3y-9=180 degrees

3y=189 degrees

y=63 degrees

pls help me wit this asap

Answers

Answer:

not sure but I think the answers c

if a radio is bought for rs 1000 is sold for rs 1500 find what is the profit percentage?

Answers

Answer:

profit percentage is =(amount sold-amount bought)×100/amount bought

Answer:

profit: 1500-1000=500

profit percentage=x

now,

x % of 1000= 500

50% is the answer.

Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?

Answers

Perimeter of the board

PLEASE ANSWER QUICKLY! WILL MARK YOU BRAINLIEST IF CORRECT!!! Find x. Round your answer to the nearest integer,
O A. 20
ОО
B. 19
O C. 15
O D. 12

Answers

Answer:

x = 15

Step-by-step explanation:

sin = opp/hyp

sin37 = x / 25

Multiply both sides by 25

25 * sin37 = x

Use calculator

15.045375578801207 = x

Rounded

x = 15

D

Step-by-step explanation:

the answer is 12

if we add 25+12 =37

if we subtract 37-25 =12

Find the area of a circle with radius 2cm, leave your answer in terms of pi

Answers

Answer:

[tex]Area = 4 \pi \ cm^2[/tex]

Step-by-step explanation:

[tex]Area = \pi r^2 = \pi \times 2^2 = 4 \pi \ cm^2[/tex]

Answer:

A = 4 cm squaree

this us because u multiply π r and square it. sorry if it's confusing

Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

Answers

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

[tex]x - y = 25[/tex]

[tex]2x + 3y = 180[/tex]  

(2)

[tex]2x - 3y = -5[/tex]

[tex]11x + y = 550[/tex]  

(3)

[tex]x - y = 19[/tex]

[tex]-12x + y = 168[/tex]

Solutions

[tex](-17,-36)[/tex]

[tex](47, 33)[/tex]

[tex](51, 26)[/tex]

Required

Match equations with solutions

(1) [tex]x - y = 25[/tex] and [tex]2x + 3y = 180[/tex]

Make x the subject in: [tex]x - y = 25[/tex]

[tex]x = 25 + y[/tex]

Substitute [tex]x = 25 + y[/tex] in [tex]2x + 3y = 180[/tex]

[tex]2(25 + y) + 3y = 180[/tex]

[tex]50 + 2y + 3y = 180[/tex]

[tex]50 + 5y = 180[/tex]

Collect like terms

[tex]5y = 180-50[/tex]

[tex]5y = 130[/tex]

Solve for y

[tex]y =26[/tex]

Recall that: [tex]x = 25 + y[/tex]

[tex]x = 25 + 26[/tex]

[tex]x = 51[/tex]

So:

[tex](x,y) = (51,26)[/tex]

(2)  [tex]2x - 3y = -5[/tex] and [tex]11x + y = 550[/tex]

Make y the subject in [tex]11x + y = 550[/tex]

[tex]y = 550 - 11x[/tex]

Substitute [tex]y = 550 - 11x[/tex] in [tex]2x - 3y = -5[/tex]

[tex]2x - 3(550 - 11x) = -5[/tex]

[tex]2x - 1650 + 33x = -5[/tex]

Collect like terms

[tex]2x + 33x = -5+1650[/tex]

[tex]35x = 1645[/tex]

Solve for x

[tex]x = 47[/tex]

Solve for y in [tex]y = 550 - 11x[/tex]

[tex]y = 550 - 11 * 47[/tex]

[tex]y = 550 - 517[/tex]

[tex]y = 33[/tex]

So:

[tex](x,y) = (47,33)[/tex]

(3)

[tex]x - y = 19[/tex]  and [tex]-12x + y = 168[/tex]

Make y the subject in [tex]-12x + y = 168[/tex]

[tex]y = 168 + 12x[/tex]

Substitute [tex]y = 168 + 12x[/tex] in [tex]x - y = 19[/tex]

[tex]x - 168 - 12x = 19[/tex]

Collect like terms

[tex]x -12x = 168 + 19[/tex]

[tex]-11x = 187[/tex]

Solve for x

[tex]x = -17[/tex]

Solve for y in [tex]y = 168 + 12x[/tex]

[tex]y =168-12 *17[/tex]

[tex]y =-36[/tex]

So:

[tex](x,y) = (-17,-36)[/tex]

The question and multiple choice answers are in the image. Hope you can help!

Answers

Answer:

answer b, SAS rule

Step-by-step explanation:

The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

30) Find the sine, cosine, and tangent of

Answers

Answer:

sin < C = c/a

cos < C = b/a

tan < C = c/b

If the graph of y=x squared +6x-12 is symmetrical about x=K, what is the value of K?

Answers

21 (don’t believe me)

find distance between (0,6) and (8,0)​
with process.......

Answers

Answer:

answer to the question is 10 units..

Answer:

10 units

Step-by-step explanation:

(0 , 6) = (x1 , y1)

(8 , 0) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]

=[tex]\sqrt{8^2 + (-6)^2}[/tex]

=[tex]\sqrt{64 + 36}[/tex]

=[tex]\sqrt{100}[/tex]

=10 units

divide the LCM of 48,64,and 80 by thier HCF​

Answers

Answer:

HCF=8

LCM=480

Step-by-step explanation:

prime factor trees

Answer:

60

Step-by-step explanation:

48=2×2×2×2×3

64=2×2×2×2×2×2

80=2×2×2×2×5

H.C.F.=2×2×2×2=16

L.C.M=2×2×2×2×2×2×3×5

L.C.M.÷H.C.F.=(2×2×2×2×2×2×3×5)/(2×2×2×2)=2×2×3×5=60

The polynomial x3 + 8 is equal to

Answers

Answer:

The polynomial x3 + 8 is equal to (x + 2)(x2 – 2x + 4)

Step-by-step explain

PLEASE ANSWER THIS QUESTION IM BEGGING YOU !

Answers

6% chance of pulling blue and then yellow

Answer:

5/36

Step-by-step explanation:

There are 12 tiles

P( blue) = blue /total = 5/12

We put the first tile back so there are still 12 tiles in the bag

P(yellow) = yellow/total = 4/12 = 1/3

P( blue, yellow) = 5/12 * 1/3 = 5/36

Solve for x and show your work

Answers

Answer:

x = -5

Step-by-step explanation:

50 = x+55

50 - 55 = x

-5 = x

Test question........................

Answers

You Have Passed Thy Test!!! BADAAAA (\•o•/)

You forgot to attach the question to your test

The distance from the center of a Ferris Wheel to a person who is riding is 25 feet. What Distance does a person travel if the Ferris wheel rotates through an angle of 4.1 radians? Round your answer to nearest tenth of a foot

Answers

Answer:

322.0 ft

Step-by-step explanation:

d = ∅r

d = 4.1 π * 25

d = 322.013246993

Rounded

322.0 ft

Jacob cuts 4 meters of a ribbon into 3 pieces, the length of the first piece is 1.28 meters.The length of the second one is 1.65 meters. Work out the length of the 3rd piece.

Answers

Answer:

1.07meters

Step-by-step explanation:

Given data

Lenght of ribbon= 4 meters

Number of pieces= 3 pieces

Length of first piece= 1.28meters

Length of second piece= 1.65meters

Let the length of the third piece be x  meters

Hence

1.28+1.65+x= 4

2.93+x=4

x= 4-2.93

x=1.07meters

Hence, the length of the third piece is 1.07meters

An angle is bisected by a segment forming two new angles find m

Answers

Answer:

60

Step-by-step explanation:

Note that angle ZXY is the bisected angle which was split into angle 1 and 2

Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )

If angle 2 = 30 then angle 1 also = 30

Like stated multiple times angle ZXY is made up of angle 1 and 2

Hence, Angle ZXY = Angle 1 + Angle 2

Angle ZXY = 30 + 30 = 60

A house was valued at $540,000 last year. The house has now appreciated and increased in
value by 4%. What is the house worth now?

Answers

Answer:

The house worth now: $540,000*(1+4%)= $561,600

Step-by-step explanation:

A geometric sequence starts with 12,.
...,27,..., 60.75,...
where 12 is the first term, 27 is the third term and 60.75 the fifth term.
Work out the common ratio of the sequence.

What’s the answer?

Answers

Answer:

b

Step-by-step explanation:

it's right cause I took the quix

15 feet tree cast a shadow that is 15 feet long. What is the distance from the top of the tree to the tip of its shadow?

Answers

Answer: Hi. The height of the tree is 27 ft

Step-by-step explanation:

Answer link- https://socratic.org/answers/601885

Haley is camping and needs to go from the campground to the waterfall. She hikes 3 miles north and 7 miles east. What is the shortest distance from the campground to the waterfall?

Answers

Answer:

7.61 miles

Step-by-step explanation:

Given that,

Haley hikes 3 miles north and 7 miles east.

We need to find the shortest distance from the campground to the waterfall. Let the distance is D.

It can be calculated as follows :

[tex]D=\sqrt{3^2+7^2}\\D=7.61\ miles[/tex]

So, the shortest distance from the campground to the waterfall is 7.61 miles.

How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! thank you for your time!!!! :)

Answers

Answer: 11 units to the right and 3 units down

====================================================

Explanation:

Plot the two points on the same xy grid (refer to the diagram below). Once this is done, the answer probably will become apparent. We should move point B 11 units to the right so that we move directly over top point B'. Count out the spaces to see why this is the case, or you can subtract the x coordinates and apply absolute value

|x1-x2| = |-5 - 6| = 11

Then we need to move 3 units down to finally arrive at point B'

---------------------------

A non-visual or non-graph approach could look like this:

B is at (-5,-2) while B' is at (6,-5)

Focus on the x coordinates for now. Like before, we subtract the x coordinates and apply absolute value to get |x1-x2| = |-5 - 6| = 11. This is the "11 units to the right" motion.

Do the same for the y coordinates to get |y1-y2| = |-2-(-5)| = 3. We move down because the y coordinate of B' is further away from 0 compared to the y coordinate of B.

In short, we apply the translation rule [tex](x,y) \to (x+11, y-3)[/tex] to describe the motion of right 11, down 3.

When -3x + 6 − 3x − 24 + 2y is simplified, the result is

Answers

Answer:

- 6x - 18 + 2y

Step-by-step explanation:

- 3x + 6 - 3x - 24 + 2y

- 6x + 6 - 24 + 2y

- 6x - 18 + 2y

Answer:

-6x -18 + 2y

Step-by-step explanation:

1. Collect like terms:

-3x + -3x = -6x

-24 + 6 = -18

2. Rewrite expression:

-6x -18 +2y

Hope this helps, good luck! :D

describe fully the single transformation that maps A onto c

Answers

Answer:

They are different because they are not similar and they have different answer at the end

Geraldo orders a private jet for a party that has a flat rate of 175,000
dollars plus an addition 65,000$ for each additional passenger. He as AT
MOST 1 million dollars to spend ($1,000,000) how many people can he
take with him? (Round down to the nearest human and WRITE YOUR
ANSWER AS A SENTENCE)*

Answers

Answer:

im not really sure but try 600,0

Step-by-step explanation:

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