a Rose Garden is formed by joining a rectangle and a semicircle the rectangle is 33 ft long and 26 ft wide. If the gardener wants to build a fence around the garden how many feet of fence are required?​

Answers

Answer 1
First, let's find the area of the rectangle.
We know that the area of a rectangle is the length times width, or
20

32
in this example:
20

32
=
640

So the area of the rectangle is
640
f
t
2
.
You may not know the area of a semicircle, but that's fine

we know the area of a circle, or
π
r
2
.
Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by
2
:
So the area of a semicircle is
π
r
2
2
.
The question asks for
π
to just be
3.14
, so instead the equation is
A
=
3.14
r
2
2

The picture gives the diameter of the circle.
To find the radius, or
r
, we divide the diameter by
2
:
20
2
=
10

Now we can solve for the area of the semicircle:
3.14
(
10
)
2
2

3.14
(
100
)
2

314
2

157
f
t
2

Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:
640
+
157
=
797
f
t
2

Related Questions


Senna was having a party for 15 friends. She bought 3 jars of
pickles for $4.50. What is the cost per jar?

Answers

Answer:

it is 1.5

Step-by-step explanation:

if u do 4.50÷3 you will get 1.5 so the cost per jar is 1.5

11.2+X=-24.7. what is X

Answers

After doing some quick calculations, we can determine that X = −35.9

I hope this helps! :)

Answer:

x = -35.9

Step-by-step explanation:

Subtract both sides by 11.2                                                                                                 11.2 - 11.2 equals zero leaving x on one side.

x = - 24.7 - 11.2

A negative minus another negative number is a larger negative number.

x= -24.7 - 11.2 = -35.9

x = -35.9

A new yo-yo factory is operating at 80%
of capacity and produces 4,000 yo-yos
daily. When the factory reaches 100%
of capacity, how many yo-yos should be
produced each day?

Answers

Answer:

5,000 yoyos per day

Step-by-step explanation:

80 x 1.25 = 100

4,000 x 1.25 = 5,000

Identify the figure and denote it by its appropriate symbol
ОА.
Half Line, AB
OB.
Ray
AB
O C. Line, AB
OD
Line Segment AB

Answers

B: ray
Rays are a linear formation that start at a point and continue forever in a direction. The photo shows a point on one end, and an arrow on the other indicating that it starts at the point and continues forever past the arrow.

Sequences

3, 7, 11, 15, ____, _____
4, 8, 16, 32, ____, _____
9, 16, 25, 36, ____, _____
256, 64, 16, 4, ____, _____
50, 45, 34, 26, ____, _____

Answers

    [] 3, 7, 11, 15, 19, 23

4 is being added

    [] 4, 8, 16, 32, 64, 128

They are being multipled by 2

    [] 9, 16, 25, 36, 49, 64

It is increasing the addition by 2s, first one is adding 7, then 9, then 11, etc

    [] 256, 64, 16, 4, 1, 1/4

It is being divided by 4

    [] 50, 45, 34, 26, ____, _____

I am currently unsure on this one, if I figure it out I will edit my answer to reflect that!

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

A dog park is divided into sections for large and small dogs. The ratio of the perimeter of the small dog section to the perimeter of the entire dog park is 7 : 12. Find the area of each section.

Answers

Answer:

58

Step-by-step explanation:

Please help! I'm confused​

Answers

The solution to the equation f(x) = g(x) is any x-value that makes the equation true.  In terms of using graphs, the solutions are the x-coordinates of any point of intersection.  

So if the graphs intersect at (1,5), then the solution is x=1.

This checks, because f(1) = 5 and g(1) = 5, so f(1) = g(1).

The length of a rectangle is 6 in less than 3 times the width. If the perimeter is 36 in, what is the width of the rectangle?

Answers

Answer:

width = 6

Step-by-step explanation:

We can think of the width as x and the height as 3x-6. the perimeter formula is (width + height)*2, since we have x as width and 3x-6 as height, we can put it in the formula, which will get you (x + 3x-6)*2 = 36, if we devide both sides by 2, we'll get (x + 3x - 6) = 18, when we simplify it, we will get 4x-6 = 18, which can then be simplified into 4x = 24, which will get you that x = 6

Hope it helped :)

y + y + y + y + ytytyty
Collect like terms

Answers

This would be 4y + 1ytytyty I believe considering they’re all bunched together in the last bit.

which equation is the inverse of y=7x^2-10

Answers

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

The table shows the number of admission tickets to an amusement park sold over the last 3 days.


Day Tickets Sold

Friday 2 to the power of 4 · 3 to the power of 2 · 5 to the power of 3
Saturday 2 to the power of 2 · 3 to the power of 4 · 7 · 13
Sunday 3 to the power of 6 · 5 · 7

How many more tickets were sold on Sunday than on Friday? Write your answer as a whole number.

HOW MANY tickets??!?

Answers

Answer:

There were 7515 more ticket sold on Sunday than on Friday.

Answer: There were 21915 sold on Sunday than on Friday.

6. Suppose that a password for a computer system must have at least 6, but no more than 9 characters, where each character in the password is a lowercase English letter, or an uppercase English letter, or a digit, or one of the five special characters *, <, >,!, and #.

(a) How many different passwords are available for this computer system?

(b) How many of these passwords contain at least one occurrence of at least one of the five special characters?

(c) Using your answer to part (b), determine how long it takes a hacker to try ev ery possible password, assuming that it takes one microsecond for a hacker to check each possible password.

Answers

a. There are 26 letters in the English alphabet, with two cases for each letter; 10 numerical characters in the range 0-9; and 5 special characters; thus a total of 26•2 + 10 + 5 = 67 characters.

Any character can be used more than once, so there are

67⁶ + 67⁷ + 67⁸ + 67⁹

or 27,618,753,243,839,080 total possible passwords.

b. If we require at least 1 special character, then there are 62 choices for each ordinary character we use and 5 for each special character.

Suppose we use a password of length 6. Then there are

62⁵•5¹ + 62⁴•5² + 62³•5³ + 62²•5⁴ + 62¹•5⁵ + 62⁰•5⁶

or

[tex]\displaystyle \sum_{k=1}^6 62^{6-k}\cdot5^k[/tex]

We count the longer passwords in a similar fashion:

[tex]\displaystyle \sum_{m=6}^9 \left(\sum_{k=1}^m 62^{m-k}\cdot5^k\right)[/tex]

or 1,206,930,268,794,100 total passwords

c. 1 second (s) is equal to 10⁶ microseconds (μs). If it takes 1 μs to try 1 password, then it would take

(1,206,930,268,794,100 passwords) • (1 μs / password) • (1 s / 10⁶ μs)

= 1,206,930,268.7941 s

= (1,206,930,268.7941 s) • (1 min / 60 s)

≈ 20,115,504.4799 min

≈ (20,115,504.4799 min) • (1 h / 60 min)

≈ 335,258.408 h

≈ (335,258.408 h) • (1 day / 24 h)

≈ 13,969.1003 days

≈ (13,969.1003 days) • (1 year / 365 days)

38.2715 years

50 pencils cost £3. How much would 8 pencils
cost
What is the answer

Answers

50/3 = 8/x

X = 12/25 or 0.48

Answer:

0.48£

Step-by-step explanation:

(3x8)/50=0.48£

Find two numbers x and y with a sum of 2 and a difference of 12

Answers

Answer:

x = 7

y = -5

Step-by-step explanation:

x + y = 2

x - y = 12

( x + y ) + ( x - y ) = 2 + 12

2x = 14

x = 7

7 + y = 2

y = -5

Check:

7 + -5 = 2

7 - (-5) = 12

Correct

-Chetan K

I need help , how do we know if the graph are positive or negative

Answers

Answer:

The negatives are at the bottom and the positives are at the top, if you need help with the (x,y) let me know!!!

Step-by-step explanation:

Answer:

right and above side of graph are positive

and

left and bottom side of graph are negative

The two tables below show the amount of tip, y, included on a bill charging x dollars.

A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.

Which compares the slopes of the lines created by the tables?
The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.

Answers

9514 1404 393

Answer:

  (b)  The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.

Step-by-step explanation:

The slope of the relation for Restaurant A is ...

  y/x = 1/10

The slope of the relation for Restaurant B is ...

  y/x = 5/25 = 1/5 = 2×1/10

The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.

Determine the x-intercept for 3x + 2y = 14,
A)
(7,0)
B)
(0,7)
C)
2,0)
D)
(0,14

Answers

x-intercepts (14/3,0)
y-intercepts (0,7)

Answer:

X-intercept: [tex](\frac{14}{3}, 0)[/tex].

Y-intercept: (0, 7) ⇒ Option B.

Step-by-step explanation:

I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.  

X-intercept:

The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0).  The x-intercept is the value of x when y = 0.

Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:

3x + 2y = 14

3x + 2(0) = 14

3x + 0 = 14

3x = 14

Divide both sides by 3 to solve for x:

[tex]\frac{3x}{3} = \frac{14}{3}[/tex]

[tex]x = \frac{14}{3}[/tex]

Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex].   None of the given option matches the value of the x-intercept.

Y-intercept:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.

Set x = 0, and substitute into the given equation.

3x + 2y = 14

3(0) + 2y = 14

0 + 2y = 14

2y = 14

Divide both sides by 2 to solve for y:

[tex]\frac{2y}{2} = \frac{14}{2}[/tex]

y = 7

Therefore, the y-intercept is (0, 7), which matches Option B.

BRINLEST WIL BE GIVIN

Answers

Answer:

[tex]\huge\boxed{-0.001a^{n+1}}[/tex]

Step-by-step explanation:

[tex]-0.001a^{3n+3}=-0.001a^{3(n+1)}=(-0.001a^{n+1})^3\\\\\text{Used}\\\\a(b+c)=ab+ac\qquad\text{distributive property}\\\\(a^n)^m=a^{n\cdot m}[/tex]

Answers:
A.113 cm^3
B.141 cm^3
C.565 cm^3
D.126 cm^3

Answers

Answer:

  D.  126 cm³

Step-by-step explanation:

The formula for the volume of a cylinder in terms of its diameter can be written as ...

 V = (π/4)d²h

The difference between the volume of the overall cylinder and the volume of the hole is ...

  V = V2 -V1 = (π/4)(d2²)h -(π/4)d1²)h = (π/4)(d2² -d1²)h

  V = (π/4)((6 cm)² -(2 cm)²)(5 cm) = (π/4)(36 -4)(5) cm³ = 40π cm³ ≈ 126 cm³

The volume of the solid cylinder with a hole in it is about 126 cm³.

How do you evaluate (-12)3

Answers

Step-by-step explanation:

-1728 y'all i do by using calculator and it is correct

Answer:

its -1728

Step-by-step explanation:

i worked it out right.

Warm-Up
Abena invited 40 people to a party.
How many came if 25% of those invited didn't come?

Answers

Answer: 30

Step-by-step explanation:

25% of forty is 10 so we minus 40 by 10 to see the remaining 75% which is our answer.

40 - 10 = 30

30 people came

The number of people attend the party is 30.

Given that, Abena invited 40 people to a party.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 25% of 40

= 25/100 × 40

= 0.25 × 40

= 10

Number of people didn't come = 10

So, number of people came = 40-10=30

Therefore, the number of people attend the party is 30.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

The admission fee at a local zoo is $1.50 for children and $3.00 for adults. On a certain day, 2400 people enter the zoo and $4,800.00 is collected. How many children and how many adults?​

Answers

Answer:

Step-by-step explanation:

c = children

a = adults

2200 people enter the zoo mean :

c + a = 2200

$4,550.00 is collected mean :

1.5 c + 4 a = 4550

Now you must solve system:

c + a = 2200

1.5 c + 4 a = 4550

c + a = 2200 Subtract c to both sides

c + a - c = 2200 - c

a = 2200 - c

1.5 c + 4 a = 4550

1.5 c + 4 ( 2200 - c ) = 4550

1.5 * c + 4 * 2200 - 4 c = 4550

1.5 * c + 8800 - 4 c = 4550

- 2.5 c + 8800 = 4550 Subtract 8800 to both sides

- 2.5 c + 8800 - 8800 = 4550 - 8800

- 2.5 c = - 4250 Divide both sides by - 2.5

c = - 4250 / - 2.5

c = 1700

a = 2200 - c = 2200 - 1700 = 500

1700 children and 500 adults

Proof :

c + a = 1700 = 2200

$ 1.5 * c + $ 4 * a =

$ 1.5 * 1700 + $ 4 * 500 =

$ 2550 + $ 2000 = $ 4550

The number of children and the number of adults are 1600 and 800, respectively.

What is the solution to the equation?

The allocation of weights to the relevant variables that produce the calculation's optimum is referred to as a direct consequence.

A nearby zoo charges $1.50 for kids and $3.00 for adults to enter. 2400 persons visit the zoo on a certain day, and $4,800.00 is gathered.

Let x be the number of children and y be the number of adults. Then the equation is written as,

x + y = 2400           ...1

1.5x + 3y = 4800

x + 2y = 3200    ...2

Subtract equation 1 from equation 1, then

2y - y = 3200 - 2400

y = 800

Then the value of x is calculated as,

x + 800 = 2400

x = 2400 - 800

x = 1600

The number of children and the number of adults are 1600 and 800, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Evaluate : X + 2 ( x -20) (4)
for x = 10

Answers

Answer:

x + 2 ( x - 20 )( 4 ) = -70

Step-by-step explanation:

hope this helps. . .<3

Find the 91st term of the arithmetic sequence 5, -14, -33, ...5,−14,−33,...

Answers

Answer:

1724

Step-by-step explanation:

first find the nth term = -19n+5

then do -19×91+5= 1724

Select the interval where h(x)< 0.

Choose 1 answer:
(А) -3.5 (в) -2 < x < -1
(C) 2.5

Answers

Answer:

Step-by-step explanation:

C


The position of an object at any time t is given by
s(t)=3t4−40t3+126t2−9
.
1 Determine the velocity of the object at any time t.
2 Does the object ever stop changing?
3 when is the object moving to the right and when is the object moving to the left​

Answers

Answer:

Step-by-step explanation:

I will ASSUME that your equation is

s(t) = 3t⁴ - 40t³ + 126t² - 9

1) velocity is the derivative of position

v(t) = s'(t) = 12t³ - 120t² + 252t

2) changing what? position? velocity? acceleration? gender? color?

position No   the plot is continuous

velocity Yes  both magnitude and direction. Zeros at t = 0, 3, and 7 s

acceleration Yes, both magnitude and direction. Zeros at approx. t = 1.306 and 5.361 s

gender? who knows

color? probably.

3) velocity is positive (moving to the right on a standard number line) for

0 < t < 3 and t > 7

Moves to the left for

t < 0 and 3 < t < 7

1. the velocity of the object at any time "t" is v(t) = 12t³ - 120t² + 252t.

2. the object stops changing at t = 6 and t = 3.5.

3. the object is moving to the right in the interval 0 < t < 3.5 and moving to the left in the interval t > 6.

To determine the velocity of the object at any time "t," we need to find the derivative of the position function "s(t)" with respect to "t."

1. Velocity of the object at any time "t":

The velocity is the rate of change of position with respect to time, which is given by the derivative of the position function, s(t).

s(t) = 3t⁴ - 40t³ + 126t² - 9

To find the velocity function, we take the derivative of s(t) with respect to t:

v(t) = d/dt (3t⁴ - 40t³ + 126t²- 9)

v(t) = 12t³ - 120t² + 252t

So, the velocity of the object at any time "t" is v(t) = 12t³ - 120t² + 252t.

2. Does the object ever stop changing?

The object stops changing when its velocity becomes zero. To find when the velocity is zero, we need to solve the equation v(t) = 0.

12t³ - 120t² + 252t = 0

Now, we can factor out common terms:

t(12t² - 120t + 252) = 0

Now, set each factor equal to zero and solve for "t":

1st factor: t = 0

2nd factor: 12t² - 120t + 252 = 0

To solve the quadratic equation, we can either factor it further or use the quadratic formula. Factoring the quadratic equation gives us:

(t - 6)(12t - 42) = 0

Setting each factor to zero:

1. t - 6 = 0

t = 6

2. 12t - 42 = 0

12t = 42

t = 3.5

So, the object stops changing at t = 6 and t = 3.5.

3. When is the object moving to the right and when is the object moving to the left?

The object is moving to the right when its velocity (v(t)) is positive, and it is moving to the left when its velocity (v(t)) is negative.

Let's analyze the velocity function

v(t) = 12t³ - 120t² + 252t

To find the intervals where the object is moving to the right or left, we need to determine when v(t) is positive or negative.

1. Find critical points by setting v(t) = 0 and solving for "t":

12t³ - 120t² + 252t = 0

As we already found earlier, the critical points are t = 6 and t = 3.5.

2. Test each interval created by these critical points using test points to determine the sign of v(t) in those intervals.

Pick a value of "t" in each of these intervals:

- When t < 3.5 (e.g., t = 0),

- When 3.5 < t < 6 (e.g., t = 4),

- When t > 6 (e.g., t = 7).

Now, substitute these test values into the velocity function v(t):

- v(0) = 12(0)³ - 120(0)² + 252(0) = 0

- v(4) = 12(4)³ - 120(4)² + 252(4) = 192

- v(7) = 12(7)³ - 120(7)² + 252(7) = -588

Based on the test points, we can conclude:

- The object is moving to the right when 0 < t < 3.5 (positive velocity).

- The object is moving to the left when t > 6 (negative velocity).

Therefore, the object is moving to the right in the interval 0 < t < 3.5 and moving to the left in the interval t > 6.

Learn more about velocity here

brainly.com/question/19279241

#SPJ2

C – 4 = 10 I need help with this question

Answers

Answer:

The answer is 14

Step-by-step explanation:

c - 4 = 10

c = 10 + 4

c = 14

Answer: c = 14

Step-by-step explanation:

14 - 4 = 10

Quadrilateral ABCD has the following angle measures. Find the Measure of angle A.
B: 59°
C: 103°
D: 100°

Answers

Answer:

∠A = 98

Step-by-step explanation:

total sum of angles in a quadrilateral is 360

∠A + ∠B + ∠C +∠D = 360

∠A + 59 + 103 + 100 = 360

∠A + 262 = 360

∠A = 360- 262

∠A = 98

Where does -3/7 belong on the Venn diagram
A) integers
B) natural numbers
C)rational numbers
D) irrational numbers

Answers

Answer:

rational

Step-by-step explanation:

WILL MARK BRAINLIEST IF CORRECT PLS HELP ​

Answers

The answer is B

A proper ratio table would be the same ratio in every row

1:4 is the start
3:12 can simplify to 1:4
6:24 can simplify to 1:4
Other Questions
Explain the difference between a primary effect and a secondary effect 1. Who was Gangorram and were did he live? In the xy-plane, a line crosses the y-axis at the point (2, 2) and passes throughthe paint (-3, -13). Which of the following is an equation of the line? explain 4 effects of war in the world HELP! WILL GIVE BRAINLIEST FOR CORRECT ANSWER! Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase? Cierto o falso: Cuando utilices el pretrito, ests hablando de lo que pas. Mark which expressions represent the distance between 46 and -15 1. Los aztecas fundan (founded) su capital, Tenochtitln, en (1325) Calculate Unit Ratesplease helpFind the unit rate for each problem. The boy to ____________ I lend my money is poor. *A. whoB. thatC. whomD. whose how many grams of C2H5OH would get if you started with 5.0 g 14Select the correct answer.What is one of the primary roles of a health information technician?.to ensure that patient data is complete, organized, and secureOB.to provide patients with a "snapshot" of their health at a point in timeOC.to deliver direct care to patients who visit a healthcare facilityOD.to research potential advances in medicine and health scienceResetNext Jasmine ran 5 miles in 42 minutes 4. On Monday, a department store sold 30 white and blue sweaters in total. If a white sweater is 398 baht, and a blue sweater is 420 baht, the total sales are 12,424 baht. How many sweaters in each color did this department store sell? What is observational classification What is the distance between the points (7 , 34) and (7 , 19) in the coordinate plane? I need to know the answer to 2 1/3 x 4/5 impressionism in music is best exemplified by the works of Mofor had $21 to spend on two notebooks.After buying them he had $13. How muchdid each notebook cost?Two-step equations