The spray from a spinning lawn sprinkler makes
a circle with a 40 foot radius. If Ben and his
friends what to play and get wet, how much
space do they have?

Answers

Answer 1

Answer: [tex]5027.2\ ft^2[/tex]

Step-by-step explanation:

Given

The radius of the circle is [tex]r=40\ ft[/tex]

The area of the circle is given by [tex]\pi r^2[/tex]

Insert the value of radius and get the area to play

[tex]\Rightarrow \text{Area A=}\pi \times 40^2\\\\\Rightarrow A=3.142\times 1600\Rightarrow A=5027.2\ ft^2[/tex]

Thus, the area to play is [tex]5027.2\ ft^2[/tex]


Related Questions

A bottle of mayonnaise holds 500ml. How many litres is this?​

Answers

500 ml is 0.5 liters. Divide 500/1000 and this equals 0.5.

If x = 3 cm and z = 5 cm, what is the length of y?
A.
3 cm
B.
0.5 cm
C.
4 cm
D.
5 cm

Answers

The answer is C. 4cm

I needd help pleaseeeee

Answers

The answer is Yellow/48

2x^2-13=x Write the quadratic equation in standard form:

Answers

Answer:

2xˆ2-x-13=0

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

2x^2 - 13 = x

Subtract x from both sides:

2x^2 - x - 13 = 0 is the standard form.

Here is the next one jaded :))

Answers

Answer:

x = 5.56

Step-by-step explanation:

Sin(17) = [tex]\frac{x}{19}[/tex]

=> Isolate the "x"

Sin(17) * 19 = x

5.56 = x

Hope this helps!

Find the Area of the figure below, composed of a rectangle with a semicircle
removed from it. Round to the nearest tenths place.

Answers

Answer:

Area of the figure = 25.7 units²

Step-by-step explanation:

Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD

Area of the rectangle ABCD = Length × Width

                                               = BC × AB

                                               = 8 × 4

                                                = 32 units²

Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Here, r = radius of the semicircle

r = [tex]\frac{\text{Diameter}}{2}[/tex]

r = [tex]\frac{1}{2}(CD)[/tex]

r = [tex]\frac{4}{2}[/tex]

r = 2 units

Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]

                                                       = 2π

                                                       = 6.28 units²

Area of the given figure = 32 - 6.28

                                         = 25.72 units²

                                         ≈ 25.7 units²

Help Plis....................

Answers

Answer:

1.30

2. 0 im pretty sure

Step-by-step explanation:

if im wong sry

At the end of each day of a bowling competition, half of the bowlers are eliminated until a winner is determined. There are 320 bowlers on day 1 of the competition. Which equation represents the number of bowlers, y, on the day x of the competition

Answers

Answer:

Step-by-step explanation:

Y= 320(1.5)^x-1

In this exercise we have to use the data informed in the text and perform the assembly of an equation in this way we find that:

[tex]Y=320(0.5)^X-1[/tex]

Some data were informed in the text for this equation to be written, so:

Y: the number of bowlersX: on the day320 bowlers

Now writing the equation representing the given information is:

[tex]Y=320(0.5)^X-1[/tex]

See more about equation at  brainly.com/question/2263981

Draw the image of figure RSTU after a translation 2 units left and 2 units down and a reflection across the y-axis.

Answers

Answer:Just slide it to the left and 2 units down then plot the points Step-by-step explanation:

Answer:

Step-by-step explanation:

Slide it to the left and 2 units down

Which is the solution for the system of equations? Y = 2x-3
Y = -x
A. (1, -1)
B. No solution
C. (-1, 1)
D. (-1, -1)

Answers

Answer:

(1,-1)

Step-by-step explanation:

[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x \end{cases}}[/tex]

Since both are y-isolated equation. We can combine both.

[tex] \large{2x - 3 = - x}[/tex]

Since we want to solve for x-term, we need to isolate x-term.

So we move from -x which is the right side to x.

[tex] \large{2x - 3 + x = 0} \\ \large{3x - 3 = 0} \\ \large{3x = 3} \\ \large{x = 1}[/tex]

But we are not done yet. Solving system of equations, you must solve for y-term as well. (Because we have to answer in ordered pairs which are (x, y))

Substitute x = 1 in any given equations but I will substitute x = 1 in y = -x

[tex] \large{y = - x} \\ \large{y = - 1}[/tex]

Since we have got y-value. Therefore the answer is (1,-1)

Who can do this I confused except for number 1

Answers

What grade is this, then I can see

is 2/5 greater than 3/7

Answers

Answer:

3/7 is greater than 2/5

Step-by-step explanation:

If you convert the fractions into decimals:

3/7=0.42

2/5=0.4

0.42 is greater than 0.4

Correct answer will be marked brainliest

find the value of x
4x + 2 = 8​

Answers

Answer:  x = 6/4

Step-by-step explanation:  

4x + 2 = 8

4x = 6

x = 6/4 or 1 1/2

Hope this helped :)

Answer:

x = 1.5, 1 1/2

Step-by-step explanation:

4x + 2 = 8

4x = 6

4x/4 = 6/4

x = 1.5

1.5 = 1 1/2

Have a nice day! :-)

Expand and simplify (2x + 1)(x + 3)

Answers

expand and simplify (2x + 1)(x + 3)

answer : [tex]2x^2+7x+3[/tex]

-

explanation : expand the polynomial using the FOIL method.

-

FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.

-

step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)

ex : [tex]2x * x+2x * 3+x+3[/tex]

step 2 : calculate the product

ex: [tex]2x^2+2x * 3+x+3[/tex]

step 3 : calculate the product

ex: [tex]2x^2+6x+x+3[/tex]

step 4 : collect like terms

ex: [tex]2x^2+7x+3[/tex]

-

solution : [tex]2x^2+7x+3[/tex]

hope this helps !

- audrey ♡

juan creates a new recipe for brownies. For each pan of brownies, he adds 7 dashes of cinnamon. How many dashes of cinnamon will he use for 8 pans of brownies?

Answers

Answer:

56 dashes of cinnamon

Step-by-step explanation:

7 dashes of cinnamon = 1 pan of brownies

And we need to make 8 pans of brownies so...

7 dashes of cinnamon x 8 pans of brownies = 56 total dashes of cinnamon :)

At a local bodega, the cost of a banana at the corner store is $1.50, and the cost of a
bottle of soda is $1.20. What would it cost to get 5 bananas and 2 bottles of soda?
What would it cost to get x bananas and y bottles of soda?

Answers

Answer:

$7.5

Step-by-step explanation:

4 bottles cost = $5

Then 1 bottle costs:

$5/4 = $1.25

Then 6 bottles cost:

$1.25*6 = $7.5

Only answer if you’re sure, will give Brainly :) thank you

Answers

The answer is 44 h(-7)= -7^2 -5 =49-5=44

What is the sum of the first ten terms in a geometric series
with a1=
6 and r = 2?

Answers

Answer:

[tex]S_{10} = 682[/tex]

Step-by-step explanation:

Given

[tex]a_1 = 6; r = 2[/tex]

Required

[tex]S_{10[/tex]

This is calculated as:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

So, we have:

[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]

[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]

[tex]S_{10} = \frac{6 * 1023}{9}[/tex]

[tex]S_{10} = 682[/tex]

These triangles are:
A) congruent,
B) similar or
C) neither

Answers

Answer:

there is no photo

Step-by-step explanation:

lol where’s the picture

Convert x=-3 to polar equation

Answers

If a point
(
x
,
y
)
is written as
(
r
,
θ
)
in polar coordinates, then
x
=
r
o
s
θ
and
y
=
r
sin
θ
.
As such in polar form equation
x
=

3
can be written as
r
cos
θ
=

3
or
r
=

3
cos
θ

what is a name for the angle below do not include

Answers

Answer:

see below

Step-by-step explanation:

There are several ways to name the angle

They all must include the vertex

ABC

CBA

B

Answer:

abc

Step-by-step explanation:

Find the argument of the complex number z=1+iv3

Answers

Given:

The complex number is:

[tex]z=1+i\sqrt{3}[/tex]

To find:

The argument of the given complex number.

Solution:

If a complex number is [tex]z=x+iy[/tex], then the argument of the complex number is:

[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]

We have,

[tex]z=1+i\sqrt{3}[/tex]

Here, [tex]x=1[/tex] and [tex]y=\sqrt{3}[/tex]. So, the argument of the given complex number is:

[tex]\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}[/tex]

[tex]\theta =\tan^{-1}\sqrt{3}[/tex]

[tex]\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)[/tex]

[tex]\theta =\dfrac{\pi}{3}[/tex]

Therefore, the argument of the given complex number is [tex]\theta =\dfrac{\pi}{3}[/tex].

can someone please answer this I need extreme help.

Answers

27
To start off you’ll need to separate the shape into different parts to find the area so we have a square and a rectangle. Since 3x3=9 then 2x9=18 so you add them together you will get 27

Answer:

hope this will help you more

Help me out! I’ll give Brainly :) thank you!!

Answers

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

Answer:

f(5) = 15

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 5² - 2(5) = 25 - 10 = 15

Una persona compra borregos, cabras y puercos jabalí. Son 100 animales vivos en total y paga $100 mil pesos. Cada borrego costó $500 pesos, tres cabras cuestan $4000 y cada puerco jabalí $3500.



Si denotamos con la variable xel número de borregos comprados por la persona, con y el número de cabras y con z el número de puercos jabalí, escribe las ecuaciones que representan las relaciones entre x,y,zde acuerdo a la información proporcionada.

Answers

Answer:

I'm sorry I just need points

Step-by-step explanation:

Please helppppppppppppppppppp

Answers

Answer:

50 feet

Step-by-step explanation:

Perimeter is the sum of all of the lengths of the sides.

A triangle has three sides, and three lengths are given, therefore all the sides are given.

The sum of the sides is 20 + 20 + 10 = 50

So the Perimeter is 50 feet

Answer:50

Step-by-step explanation:20+20+10=50

Complete the function table for each equation

Answers

Answer:

y=-32, 0, -16, -4, 16

Step-by-step explanation:

y=4(-6)-8= -32

y=4(2)-8 = 0

y=4(-2)-8 = -16

y=4(1) -8 = -4

y=4(6) -8= 16

For the given equation of the line, the complete table is attached below.

Use the concept of the equation of line defined as:

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

The given equation of a line is,

y = 4x - x

To complete the table:

Put x = -6 in this equation,

y =  (-4)(-6) - 8

y = 16

Put x = 2 in the equation,

y =  (-4)(2) - 8

y = -16

Put x = -2 in the equation,

y =  (-4)(-2) - 8

y = 0

Put x = 1 in the equation,

y =  (-4)(1) - 8

y = -12

Put x = 6 in the equation,

y =  (-4)(6) - 8

y = -32

The complete table is attached below.

To learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ6

5. What is the value of 8 in the unit circle below?
30°
600
b.
45°
d.
90°

Answers

9514 1404 393

Answer:

  θ = 60°

Step-by-step explanation:

The angle is more than 45° and less than 90°. The only viable choice is ...

  θ = 60°

__

We can only read the x-coordinate of the point on the terminal ray. It is 1/2, which is the cosine of 60°. The angle must be 60°.

A researcher wishes to test whether the mean of a normally distributed population is greater than 1.06 at the 5% significance level. Based upon 22 independent observations, she observes a sample mean of 1.77 and a sample standard deviation of 0.84. Determine the critical value of the test rounded to the nearest hundredth. (Rounding counts!).

Answers

Answer:

t- critical value =1.721

Step-by-step explanation:

Given

Sample size =n=22

Degree of freedom = sample size -1 = 22-1 =21

The significance level is 5%. This indicates that the test is right tailed.

The alpha value = 0.05

For given right tailed test, with value of alpha = 0.05 and degree of freedom = 21, the  t- critical value =1.721

A new car is purchased and a $30,000 loan is taken. The loan is for 7 years (84 months) and
the interest rate is 2.9% compounded monthly. What is the monthly payment?

Answers

Answer

around $250 per month

Step-by-step explanation:

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