Eleanor is sewing a tablecloth for her circular kitchen table . The length from one edge of the table to the other 3ft. What is the minimum amount of fabric that Eleanor needs to purchase?

Answers

Answer 1

Answer:

[tex]7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]

Step-by-step explanation:

To find the minimum amount of fabric, one needs to find the area of the table, the equation for the area of a circle is [tex]A=\pi r^{2}[/tex]

The question gives the length from one edge of the table to the other, this can also be defined as the diameter, the diameter is equal to double the raidus so dividing the diameter in half gives the radius.  The radius of this table is calculated to be 1.5 ft.

Plugging in our radius to the area equation we get [tex]A=\pi 1.5^{2}= 7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]


Related Questions

Are constant functions periodic? The reason I ask this is because a function is periodic if it has a period but in a constant function the period could be infinitely small.

Answers

Answer:

A function f:R→R is periodic if there exists some number t>0 such that

f(x)=f(x+t)

A constant function is periodic since you can take t=1,t=2, etc. (Hint: Hover over the tag "periodic-functions". What do you see?)

The fundamental period of f is the smallest of such t's. Since t cannot be 0, you are looking for the minimum of (0,∞), which does not exist.

Step-by-step explanation:

the sum of two integers is - 120 if one of them is 82 find the other

Answers

Answer:

38

Step-by-step explanation:

Here,

Let one of the unknown integer be x whereas the other one be 82 (according to question)

Now,

X+82=120

Or, x=120-82

Or, x=38

Therefore the value of the unknown integer is 38.

evaluate the equation: F( 2 ) =

Answers

Answer:

3

Step-by-step explanation:

it's basically asking what is the y value that corresponded to x = 2

that value is 3.

Mr. Alden Richards is planning to build a gazeboo whose base is a regular octadecagon. At what angle should he cut the lumber to frame the base.

Answers

A regular octagon consists of 8 interior and 8 exterior angles of which the respective sides and angles are equal. The exterior angles total 360 deg. So 360/8 = 45 and if you are cutting wood to form a 45 deg angle each cut must be 1/2 or 22.5 degrees. This will be added or subtracted from each side of the stock. Your table saw normally is set at 90 degrees, or perpendicular to the top. Subtract the 22.5 degrees from 90, and you get 67.5 degrees.
Answer: Set your blade tilt to 67.5 degrees.

On a given planet the weight of an object varies directly with the mass of an object. Suppose that an object whose mass is 3kg weighs 21N. Find the weight of an object whose mass is 7kg

Answers

Weight = mass*gravity
Rearrange to get gravity
Gravity = weight/mass

Using 3kg, 21N

Gravity = 21/3 = 7
On this particular planet the gravity is measure at 7 m/s

Therefore:
Weight = 7kg*7= 49N

I don’t understand how to do this! Could you help me step by step, please?

Answers

Answer: x=12

Step-by-step explanation: Combine Multiplied terms into a single fraction: 3 = 18 - 5/4 x      3 = 18 -  -5/4x

Find common denominator: 3= 18+ -5/4x    3= 4 x 18/4 + -5x/4

Combine fractions with common denominator:   3= 4 x 18/4 + -5x/4      3=4 x 18/- 5x/4


Gifts are packaged in cylinders.
Each cylinder is 12 cm high with a diameter of 8 cm.
Calculate the volume of each cylinder.
Use 3 as a value for at
Give your answer using the correct units.

Answers

Answer:

Step-by-step explanation:

V = [tex]\pi r^{2} h[/tex]

V = (3.14)(16)(12)

V = 50.24 cm³

A student recorded the distance and height of a basketball when shooting a free throw.

Distance feet X 0 2 6 9 12 13 15
Height (feet) Y 4 8.4 12.1 14.2 13.2 10.5 9.8
(a) Write the quadratic regression equation mal models the data Letx=distance in feet and let y= height in feet Round all numbers to the nearest hundredth
(b) Use the equation to estimate the height of basketball when shot from 20 feet. Show your work.​

Answers

Answer:

a) [tex]y = 0.118x^{2} +2.112x+4.215\\[/tex]

b)height = 896.2 feet

Step-by-step explanation:

for b, substitute 20 in place of x in the first equation.

Help what is the product?

Answers

Answer:

(6 18)

Step-by-step explanation:

[tex](4 \: 2) \times \binom{ - 2 \: \: \: \: \: \: \: \:5 }{7 \: \: \: \: \: \: - 1} \\ \\ (4 \times - 2 + 2 \times 7 \: \: \: 4 \times 5 + 2 \times - 1) \\ \\ ( - 8 + 14 \: \: \: \: \: \: 20 - 2) \\ \\ (6 \: \: \: 18)[/tex]

If your net pay, after a $142.00 automatic withdrawal, is $2,665.00, what percent of your net pay was withdrawn?

Answers

Answer:

Net pay = $142 + $2665 = $2807

Percent withdrawn = (withdrawal ÷ net pay) × 100%

                               = (142 ÷ 2807) × 100%

                               = 5.058781617...%

                               = 5.1% (nearest tenth)

Given f(x) = x2 + 1 and g(x) = |x + 31| which value of x is a
solution to the equation f(x) = g(x)?

Answers

Answer:

the answer is 30..........

An item on sale costs 60% of the original price. If the original price was $30, what is the sale price?
si
Х 5 ?

Answers

Answer: $18

Step-by-step explanation:

60% of original cost means 40% is taken off

40% = 0.4

30 x 0.4 = 12 so that is how much will be taken off

30-12= 18

$18

A rectangle has an area of 20 cm^2. What will the area be if the rectangle tripled in size?

Answers

Answer:

  180 cm^2

Step-by-step explanation:

For similar figures the ratio of areas is the square of the ratio of linear dimensions.

We take "tripled in size" to mean that the linear dimensions of the larger rectangle are 3 times those of the smaller rectangle. That means the area of the larger rectangle will be 3² = 9 times the area of the smaller one.

  Area = (3²)(20 cm²) = 180 cm² . . . . area after tripled in size


If two angles are complementary in a right triangle, then explain how you can find the
value of x if sin 440 = cos x using 2-3 sentences. In the last sentence, give the value of x.

Answers

Answer:

46°

Step-by-step explanation:

Points of note

two angles are complementary in a right trianglesin 44° = cos x°

Solving

The first thing to understand is "complementary" means that the two angles add up to 90°Therefore, 44 + x = 90x = 46°

Answer:

46°

Step-by-step explanation:

Complementary angles

Two angles whose measures sum to 90°

In a right triangle, the angle opposite the hypotenuse is always 90°.  

The interior angles of a triangle sum to 180°, therefore the other two angles are complementary angles since their sum is always 90°.  

So we can label one angle as [tex]x[/tex] and the other as [tex](90-x)[/tex].

The side opposite angle [tex]x[/tex] is the side adjacent to angle [tex](90-x)[/tex].

Therefore, using trig ratios, we can say that [tex]\sin(x) = \cos(90-x)[/tex]

So, if [tex]x=44[/tex] then:

[tex]\implies \sin(44) = \cos(90-44)=\cos(46)[/tex]

i need help solving for x. with pythagorean theorem.​

Answers

Answer:

[tex]14 \sqrt{3} [/tex]

Step-by-step explanation:

Here you use the 30-60-90 triangle

Note that the side length opposite of the 60 degree triangle is root of 3 times greater than the side opposite of the 30 degree angle.

Here, x is the opposite of 60 degree angle.

7 times root of 4 is opposite of the 30 degree angle,

So we have

So this means

[tex]7 \sqrt{4} \times( \sqrt{3} ) = x[/tex]

Note that

[tex]7 \times \sqrt{4} = 7 \times 2 = 14[/tex]

So we have

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

GIVING BRAINLIEST
What is the measure of angle x?

40 degrees
80 degrees
130 degrees
140 degrees

Answers

Answer:

140 degrees

Step-by-step explanation:

Since alternate angles are equal, corresponding angles are equal, a pair of interior angles on the same side of the transversal are supplementary, and angles on a straight line add up to 180 degrees, 40 + x must equal 180 degrees.

To find angle x in this instance, you would need to subtract 40 degrees from 180 degrees.

[tex]180-40=140[/tex]

Therefore, the answer is 140 degrees.

Answer:

my test said 140

Step-by-step explanation:

10
10
U
U
g(x)
f(x)
8
10
-2
10-8
2
-108
--2
2
4
-8
- 10
If g(x) = f(x + k), what is the value of k?

Answers

Answer: -6

Step-by-step explanation:

The graph of g is the graph of f translated left 6 units.

find the equation of line that passes through the point (4,-5) and the slope 5/4

Answers

Answer:

[tex]\boxed{\sf{y=\dfrac{5}{4}x-10 }}[/tex]

Step-by-step explanation:

To find the equation of line, you have to use a slope and slope-intercept formula.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Slope-intercept formula:

[tex]\Longrightarrow:\sf{y=mx+b}[/tex]

M represents the slope.B represents the y-intercept.

So, the slope is 5/4.The y-intercept is -10.

Rewrite the problem down.

y=5/4x-10

So, the correct answer is y=5/4x-10.

I hope this helps you! Let me know if my answer is wrong or not.

A point on a pre-image is currently located at (1, -3). The pre-image is translated 3
units right and 6 units up.
What are the NEW coordinates for the point after the translation? Use graph paper
to sketch the translation if needed.
(3, 4)
(3,4
(4,3)
)
(7.0)
0
(-2.2)

Answers

Answer:

(4,3)

Step-by-step explanation:

Since its a positive translation you add 3 to 1 because you are going to the right. You coordinates of that step then becomes (4,-3). Then you need to translate up 6 units. Because the y is -3 you add 3 to make 0, then 3 more (3+3=6) to get positive 3. You then end up with the coordinates (4,3)

Determine the total length of the major and minor axes for the ellipse 25x^2+y^2=25
Will give brainliest

Answers

Answer:

Step by step Solution :-

25X^2 + Y^2 = 25

A) Finding X value :-

1. Subtract Y^2 from both sides:

25X^2 = 25 - Y^2

2. Divide both sides by 25 :

( 25X^2 ) ÷ 25 = ( 25 - Y^2 ) ÷ 25

3. Dividing by 25 undo the multiplication by 25 :

X^2 = ( 25 - Y^2 ) ÷ 2

4. Divide ( 25 - Y^2 ) by 25 :

X^2 = ( - Y^2 ÷ 25 ) + 1

5. Take Square Root for both sides of equation ( before & after (=) ) :

X = √ ( 25 - Y^2 ) ÷ 5

X = - √ ( 25 - Y^2 ) ÷ 5

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

Now that we knew what X value is, we'll figure out Y value too!

B) Finding Y value ( Finding Square Root ):-

Y^2 = 5√ ( 1 - X^2 )

1. Finding Square Root :

25X^2 + Y^2 = 25

2. Subtract 25X^2 value from both sides :

Y^2 = 25 - 25X^2

3. Take square root for both sides of equation :

Y = 5√ ( 1 - X^2 )

Y = - 5√ ( 1 - X^2 )

Test help picture below problem 19 21

Answers

Step-by-step explanation:

PROBLEM 19

(side 1)² + (side 2)² = (hypo)²

56² + (side 2)² = 61²

3136 + (side 2)² = 3721

(side 2)² = 3721 - 3136

(side 2)² = 585

side 2 = root 585

side 2 = 24.1867732449

side 2 = 24.2cm

E. Parallelogram

reason

opposite sides are parallel

MARK ME AS BRAINLIST

What was the most number of minutes someone took to eat breakfast? (type number only) *
.
0 1 2 3 4 5 6 7 8 9 10 11 12
Minutes To Eat Breakfast

Answers

I think it 10 minutes

Simplify the expression with nested parentheses.
430+ 26+6−33

Answers

Answer:

using bodmas.

6-33=-27.

430+26=456.

456-27=429

Find the area of the triangle with the following coordinates. A (-5,9) B (1,-7) C (8,4)

Answers

QUESTION : > FIND THE ARE OF THE TRIANGLE WITH THE FOLLOWING COORDINATES.

A. (-5,9)

B . (1,-7)

C . (8,4)

ANSWER :> A.

(-5,9).

HOPE IT HELPS

THANK ME LATER.

#CARY ON LEARNING

Select all of the expressions that have a value of 18.
A) 324 ÷ 18
B) 468 ÷ 26
C) 724 ÷ 40
D) 1,062 ÷ 59
E) 1,071 ÷ 60

Pls show work!!

Answers

Answer:

A,B,C

Step-by-step explanation:

Just divide them hope this helps x

Dan needs to make a total of 25 deliveries this week So far he has completed 19 of them. What percentage of his total deliveries has Dan completed?

Answers

Answer:

76 percent.

Step-by-step explanation:

Answer:
76% of deliver Dan completed

Explanation:
19/25
19 out of 25


Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)

In a circle, a central angle of 2 radians intercepts an arc of 6 centimeters.
Find the length of the radius in centimeters.

Answers

Answer:

3 cm

Step-by-step explanation:

To solve this problem, we can use the Arc Length Formula. This states that s = r · [tex]\bf \theta[/tex], where s = arc length, r = radius, and [tex]\theta[/tex] is the measure of the central angle (in radians).

From the problem, we are given that s = 6 cm, [tex]\theta[/tex] = 2, and we need to solve for r. Substituting these values into the equation gives us the following:

6 = r · 2

Solving the equation gives us r = 3 cm. Hope this helps!

A social security number contains nine digits, such as 224-10-7135. How many different social security numbers can be formed?​

Answers

Answer:

420 million

Step-by-step explanation:

There are up to 420 million numbers that were assinged.

PLEASE HELP FOR EACH OF THE FIGURES, WRITE AN ABSOLUTE VALUE EQUATION

Answers

The solution set 0 and 8 are the true values of the absolute value equation

The absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

How to determine the absolute value equation?

From the figure, the solution sets of the absolute value equation are given as:

x = {0, 6}

Calculate the mean of the solution set

Mean = 0.5 * (0 + 6)

Mean = 3

Calculate the difference of the solution set divided by 2

Difference = (6 - 0)/2

Difference = 3

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x - 3| = 3

Hence, the absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

Read more about absolute value equation at:

brainly.com/question/2166748

Answer:

|x-3|=3

Step-by-step explanation:

Manuel wants to rent a boat and spend at most 34. The boat costs 8 per hour, and Manuel has a discount coupon for 6 off. What are the possible numbers of hours Manuel could rent the boat?

Answers

5 hours

6 times 5 is 30, and if hes not wanting to go over, then it'd be 5 hours for $30

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