A company is building a new park in the shape of a circle with a 25 ft diameter. Portions of the new park will be covered with grass. A diagram of the park is given below, with the shaded region representing the areas that will be covered in grass. Use 3.14 for. Note: image is not drawn to scale. The area of the regions covered by grass is approximately sq ft.

A Company Is Building A New Park In The Shape Of A Circle With A 25 Ft Diameter. Portions Of The New

Answers

Answer 1

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = [tex]\dfrac{25}{2}=12.5\ ft[/tex]

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = [tex]\pi r^2[/tex]

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = [tex](3.14)(12.5)^2=490.625\ \text{ft}^2[/tex]

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.


Related Questions

Multiply and simplify (x2)(x4)(x-5)

Answers

Answer:

(x45)

Step-by-step explanation:

(x2) (x4) (x-5)

(x8) (x-5)

(x45)

HELPPPP PLEASEEE I DONT WANNA GOT TO GRANNYS HOUSE

Answers

Answer:

15

Step-by-step explanation:

f(5) = (5)^2 - 2(5) = 25 - 10 = 15

Answer is 15 I goch u fam

If a function f has an inverse function, then fis one-to-one.
A) True
B) False

Answers

Answer:

true

Step-by-step explanation:

Rectangle has DEFG vertices D(-6, -5), E(-6,-2), F(-2,-2) and G(-2, -5). The figure is first translated 3 units up and then rotated 90 degree clockwise about the origin. What is the shape of the figure after this sequence of transformations?

Answers

Answer:

  a rectangle

Step-by-step explanation:

Translation and rotation are rigid transformations. They do not change the shape or size. The figure is still a rectangle after these transformations.

ASAP!! can someone help answer these and include work, whoever answers most gets brainliest!! i underlined the questions

Answers

your work for the first one is perfect!!

the second one gives you the side lengths of x+2 and x-5. the formula for the area of a rectangle is l×w so you have to multiply (x+2)(x-5) and im sure you can figure that out but the answer to that is x^2-3x-10

you set up number 3 right, you just need to continue with the distribute property which would give you 4x^2-20x+25

number 4 is the same as the other ones and the answer is 36x^2-1

number 5 is just distributing the -z^3 into everything in the parenthesis giving you -5z^3-z^4+4z^5

I cant see all your work for number 6, but I can see that your term for c is 5, when it is actually -5. it looks like you didnt subtract it to make the quadratic equal to zero and to do that you would have to subtract 5.

tbh I cant read number 7

hope that helped :)

fill in the blank with <,>,or,= to make the statement true -1 1/2 _ -1/4

Answers

Answer:

<

Step-by-step explanation:

Since it is a negative value, whatever fraction is closer to 0 will be greater.

An airplane takes 5 hours to travel a distance of 3900 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is _____ (mph,hour,miles) and the speed of the wind is ____(mph,hour,miles)

Answers

Answer:

not quite sure what this is asking for but the average speed is 7800/11

It did 7800/11 ¯\(º_o)/¯

P(n) models the probability, when rolling a pair of dice, of obtaining two numbers whose sum is n 2 6 7 P(n) 1/36 5/36 6/36 when does the probability increase faster? a)Between a sum of 2 and a sum of 6 b) Between a sum of 6 and a sum of 7 c)the probability increases at the same rate over both intervals

Answers

Answer:

Option c.

Step-by-step explanation:

From the given table, it is clear that

[tex]P(2)=\dfrac{1}{36}[/tex]

[tex]P(6)=\dfrac{5}{36}[/tex]

[tex]P(7)=\dfrac{6}{36}[/tex]

The increasing rate of probability between a sum of 2 and a sum of 6 is

[tex]r_1=\dfrac{P(6)-P(2)}{6-2}[/tex]

[tex]r_1=\dfrac{\dfrac{5}{36}-\dfrac{1}{36}}{4}=\dfrac{1}{36}[/tex]

The increasing rate of probability between a sum of 6 and a sum of 7 is

[tex]r_2=\dfrac{P(7)-P(6)}{7-1}[/tex]

[tex]r_2=\dfrac{\dfrac{6}{36}-\dfrac{5}{36}}{1}=\dfrac{1}{36}[/tex]

Since [tex]r_1=r_2[/tex], therefore the probability increases at the same rate over both intervals.

Hence, the correct option is c.

Answer:

c)the probability increases at the same rate over both intervals

Step-by-step explanation:

it was right on khan academy

Help please I will name the Brainily answer

Answers

Answer:

B

Step-by-step explanation:

So, for five cups of water, you need one cup of sugar. 1s=5w.

Now, you divide both sides by five.

1/5s=1/w

Write an algebraic equation to match each graph. (These graphs are not drawn to scale!) help pls fast

Answers

Answer y=x

Step-by-step explanation:

y=x when x equal one y equals one

The algebraic equation to match each graph will be y = | x |.

What is an equation?


The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given graph shows that for every value of y the value of x will always be positive. Then the algebraic equation will be written as below:-

y = | x |.

Therefore, the algebraic equation to match each graph will be y = | x |.

The graph of the equation is attached with the answer below.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ5

why is it important to break down the radical into its prime factor?

Answers

Answer:

The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the number into smaller parts.

Step-by-step explanation:

Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(6)+g(-8) plz help quickly

Answers

Answer:

The answer is 51

Step-by-step explanation:

f(x) = 5x + 4

g(x) = −2x + 1

To find f(6)+g(-8) first find f(6) and g(-8) and add them

For f(6) we have

f(6) = 5(6) + 4

= 30 + 4

= 34

For g(-8)

g(-8) = - 2(-8) + 1

= 16 + 1

= 17

So we have

f(6)+g(-8) is

34 + 17

= 51

Hope this helps you

When simplified, 4x/7y + 3x/5y is written as?​

Answers

Answer:

41x/35y

Step-by-step explanation:

combine like terms

Find the measure of y.

Answers

the measure of y is 133
The measure of y should be 133

Please help me I am bad at this stuff

Answers

The correct answer is answer for that question is f(x) = (2,0)

Explain

F(x)= 2x^2 -14x+20

When f(x) = 0

Take out the 2

2(x^2-7x+10) = 0

Now divide by 2

X^2 -7x+10 = 0
Splitting = -7x= -5x-2x

X^2-5x -2x+10=0

Take x common from -2 as 2

X(x-5)-2(x-5)= 0

Take (x-5) common

(X-5)(x-2)0

X-5=0 x-2=0
X=5. X=2

Now zero of g(x) is 0 at x=19
Which is at x= 2 f(x ) =0

I hope this help you :D

1. f(x) = x² - 4 ; if x is even = 3x – 2; if x is odd solve for f(4) and f(5)

Answers

Answers:f(4) = 12f(5) = 13

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

Explanation:

This is a piecewise function as it is composed of two pieces.

The equation for f(x) depends on what x is. Specifically whether it is even or odd.

If x is even, then f(x) = x^2-4. If x is odd, then f(x) = 3x-2

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

f(4) means f(x) when x = 4. We have an even number input for x, so we'll go with f(x) = x^2-4

f(x) = x^2 - 4

f(4) = 4^2 - 4

f(4) = 16 - 4

f(4) = 12

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

When x = 5, x is now odd, so use f(x) = 3x-2

f(x) = 3x-2

f(5) = 3(5) - 2

f(5) = 15 - 2

f(5) = 13

Ice cream bars come in a container that cost $3.12 for 6. What is the unit rate for the ice cream bars

Answers

The answer is each bar costs $0.52

Answer:

$1.92

Step-by-step explanation:

The equation would be 6/3.12

that equals 1.92.

UGH ONLY EXPERT GIVE ME ANSWER PPL DO WRONG ANSWERS Find the number of rectangles in 6×6 chessboard. ITS NOT 36

Answers

Answer:

I think it is 441

Step by step explanation:

To make a rectangle you need to pick any two of the vertical lines, and any two of the horizontal lines. So there would be 91 squares and 441 rectangles.

Maurice has a String that is 15 inches long. He has beads that are 3 inches long. How many beads will fit on the string?

Answers

Answer:

5

Step-by-step explanation:

Take the length of the string and divide by the length of a bead

15/3 = 5

We can fit 5 beads

Answer:

5 beads

Step-by-step explanation:

In order to find out how many 3-inch beads could fit onto a 15-inch string, we have to divide the numbers to find out how many beads could fit onto the string.

[tex]\frac{15}{3} =5[/tex]

Maurice can fit 5 beads onto the 15-inch string.

Mike bought four new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only twenty-nine cards left.
How many cards did Mike start with ?

Answers

Answer:

58 Cards

Step-by-step explanation:

58. All you have to do is 29+29 because the four is already added on it’s just to throw you off.


Calculate the coefficient of x14,4 in the expansion of (x + y)18,

Answers

Answer: 3060

Step-by-step explanation:

Formula : (r+1)th term of [tex](a+b)^n[/tex] : [tex]T_{r+1}=\ ^nC_r(a)^{n-r}(b)^r[/tex]

To find: Coefficient of [tex]x^{14}y^4[/tex] in the expansion of [tex](x + y)^{18}[/tex].

Let the term in the expansion of [tex](x + y)^{18}[/tex] be [tex]^{18}C_r x^{18-r}y^r=x^{14}y^4[/tex]

[tex]\Rightarrow\ r=4[/tex]

Now, Coefficient = [tex]^{18}C_r=^{18}C_4=\dfrac{18!}{4!14!}[/tex]     [[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]]

[tex]=\dfrac{18\times17\times16\times15\times14!}{14!(24)}\\\\=3060[/tex]

Hence, the coefficient of [tex]x^{14}y^4[/tex] in the expansion of [tex](x + y)^{18}[/tex] is 3060 .

In a particular​ year, a total of 44,064 students studied in two of the most popular host countries when traveling abroad. If 8382 more students studied in the most popular host country than in the second most popular host​ country, find how many students studied abroad in each country. There were _______ students who studied abroad in the most popular host country.

Answers

Answer:

The answer would be 35066 :)

Step-by-step explanation:

(y+5554) + y = 64578

Combine like terms

2y = 64578-5554

2y = 59024

y = 29512

x = 29512 + 5554 = 35066

Determine whether quadrilateral DEFG is similar to quadrilateral QRST. If so, give the similarity statement. options: A) QRST ∼ GFED B) Impossible to determine. C) QRST ∼ DEFG D) The quadrilaterals are not similar.

Answers

Answer:

A) QRST ∼ GFED

Step-by-step explanation:

We have to compare the ratios of all the sides one by one. Once I divided each side length by the equivalent side length on all four sides of both quadrilateral, make sure they are all equal.

Answer:

A) QRST is similar to GFED

Step-by-step explanation:

quadrilateral GFED is 1.25 times larger than quadrilateral QRST not to be confused with QRST is similar to DEFG because then the sides would not correspond to each other

How to find constant M ? did I do anything wrong here ?

Answers

Answer:

M=-1, N=7

Step-by-step explanation:

Something went wrong on the 4th line.

From the third line, it should read

2x^2-x+6Mx-3M+4

=x(2x-1+6M) - 3M+4

Equating with the RHS,

2x-1+6M = 2x-7

6M = -7+1 = -6

M = -1

Therefore

N = -3M+4 = -3(-1)+4 = 7

or

M=-1, N=7

Your answer is M=-1 N=-7

Please answer this!!! Thank you!!!

Answers

I hope this helped! Good luck with the rest of your class :)

Find the smallest four digit number which Is divisible by 18 24 and 32

Answers

Use the ladder method. First list all the numbers. Since 2 is a common factor among all the numbers, it can be factored out, and the 3 numbers can be simplified to 9,12, and 16. Since there are no more common factors, we multiply all 4 numbers to get 3456.

Answer:

The smallest four digit number divisible by 18, 24, and 32 is 1152.

Step-by-step explanation:

The LCM of the 3 numbers are 288

Then, the smallest four-digit number would equal 1152 (288*4)

Take L.C.M. of 18,24,32= 288

Resulting in 1152 :)

is x=-3 a function plz respond in one minute

Answers

Answer:

x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.

Step-by-step explanation:

PLEASE HELP ME OUT! Check out the first two questions on my profile please! It will really help me out

Answers

NIJFNC JFVNJNFDVCMK DSN CHSFBNCODJ MKNVF

Step-by-step explanation:

PLEASE ANSWER ASAP!!!!!! WILL MARK BRAINLY

Answers

Answer:

i think u r correct

Step-by-step explanation:

good job

Answer:

B, C, and E ([tex]x\leq -7,[/tex] The graph has a closed circle, and -7 is part of the solution.)

Step-by-step explanation:

Let's first solve the inequality of [tex]15\geq 22+x[/tex].

[tex]15\geq x+22[/tex]

[tex](15)-22\geq( x+22)-22[/tex]

[tex]-7\geq x[/tex]

[tex]x\leq -7[/tex]

So the final equation comes out to be [tex]x\leq -7[/tex].

This graph has a closed circle as it is a greater than OR equal to.

And -7 is a part of this solution as it is the number x is being compared to.

Let me know if I got anything wrong.

Pls Help!! Jazzmin has 2/5 of a pie. How many 1/10's of a whole pie are there in 2/5 of a whole pie?
Answer options: a.) 1/25 b.) 1/4 c.) 25 d.) 4
PLS write the correct answer

Answers

Answer:

d

Step-by-step explanation:

2/5÷ 1/10 = [tex]\frac{2}{5}*\frac{10}{1}[/tex]

               = 2 * 2

               = 4

Answer:

b

Step-by-step explanation:

LCD of (5, 10): 10

2/5=4/10(multiply top and bottom by 2)

(4/10)/(1/10)= 4

Therefore, 1/10 is 1/4th of 2/5

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