Points A and B lie on a circle centered at point O. If OA = 5 and length of ABowncircumference=14, what is the area of sector AOB? Use the value π = 3.14, and choose the closest answer.

Answers

Answer 1

This question can simply be answered directly. To solve this, we should recall that the formula of a circle is:

Area of circle = π r^2 where r is the radius of the circle

Now we are given that segment OA is equivalent to 5 units. Segment OA is also the diameter of that circle therefore d = 5.

Now let us convert the formula knowing that radius is one half the diameter:

r = d / 2

Area of circle = π (d / 2)^2

Area of circle = π d^2 / 4

Substituting:

Area of circle = π (5)^2 / 4

Area of circle = 3.14 * 25 / 4

Area of circle = 19.625 = 19.6 square units

Answer 2

Answer:

The answer would be 19.6 for plato Users

Step-by-step explanation:

Related Questions

a rectangle has an area of 12m and a width of 400cm. what is the length?

Answers

the length is 0.03 because of the formula
hope it helped :)

3 meters or 300 cm bc 400 cm is 4 meters and 12/4 is 3 meters or 300 cm

Find the circumference of a pizza if the diameter is 10 inches.

0.314 in.
3.14 in.
3.04 in.
31.4 in.

Answers

The circumference of a circle is:

C=πd, since we are told that d=10in

C=10π in

C≈31.4 in (to nearest tenth of an inch)

Answer: 31.4 in.

Step-by-step explanation:

We know that the circumference of the circle is given by :-

[tex]C=\pi d[/tex], where d is the diameter of the circle.

Given : The diameter of the pizza = 10 inches

Then the circumference of the pizza will be :-

[tex]C=\pi (10)[/tex]

We put the value of [tex]\pi =3.14[/tex], we get

[tex]C=3.14 (10)=31.4[/tex]

Hence, the circumference of a pizza is 31.4 in.

Wendy wanted to understand whether students at her school were in favor of an extended school day. She surveyed some students and displayed the results in the table below:

In favor Opposed Undecided
Grade 9 4 7 7
Grade 10 9 11 5
Grade 11 12 13 5
Grade 12 10 5 12
If the principal randomly selects a student in grade 12 from this survey, what is the probability that the student is in favor of extending the school day?

Answers:
0.37
0.27
0.49
0.52

Answers

If the principal randomly selects a student in grade 12 so this means we focus on just the "grade 12" row. No other rows will be looked at here what is the probability that the student is in favor of extending the school day?" find the number in favor (who also happen to be in grade 12) then divide that number by the total number in grade 12 make sense.

so it would be .37

Answer:

0.37

Step-by-step explanation:

Every day, about 140,000,000 plastic water bottles are bought in the United States. Each bottle is about 0.25 meters long, and the equator of the Earth is about 40,000,000 meters around.

How many times can the Earth's equator be circled by a line of plastic bottles used in the United States every day?

Answers

Answer:

0.875 times Earth's equator is circled by plastic bottles every day.

Step-by-step explanation:

Given: No of plastic water bottles every day = 140,000,000

Length of a bottle = 0.25 m

length of equator of earth = 40,000,000 m

To find: no times Earth's equator is circled by line of bottles every day

No of plastic water bottles every day = 140,000,000

Length of 1 plastic water bottle = 0.25m

⇒ Length of 140,000,000 plastic bottles = 0.25 × 140000000

= 35000000 m

No. of times Earth's Equator is circled by bottles = [tex]\frac{35000000}{400000000}[/tex]

= 0.875

Therefore, 0.875 times Earth's equator is circled by plastic bottles every day.

Answer:

0.875

Step-by-step explanation:

Find the sum of the solutions of this equation 20x^2-39x-80=0

Answers

This is 'nice':

The sum of the solutions is the coefficient with 'x', change it sign and divide by the coefficient of x^2:

sum = 39/40.

If f(x) = ∣(x2 − 8)∣, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean value theorem?

Answers

First let us find the slope of the straight line formed when x1 = 0 to x2 = 2.5.

y = x^2 – 8

y1 = 0^2 – 8 = - 8

y2 = 2.5^2 – 8 = -1.75

The formula for finding the slope is:

m = (y2 – y1) / (x2 – x1)

m = (-1.75- (- 8)) / (2.5 – 0)

m = 2.5

The mean value theorem states that the slope must be 2.5 at least once between x1 = 0 to x2 = 2.5.

Taking the 1st derivative (slope) of the equation:

dy / dx = 2x

Since dy / dx = m = 2.5

2x = 2.5

x = 1.25

Therefore the answer is: One number at x = 1.25

The diagonals of a parallelogram are 12 meters and 20 meters and intersect at an angle of 60°. find the length of the longer side.

Answers

Final answer:

To find the length of the longer side of the parallelogram, you can use the law of cosines.

Explanation:

To find the length of the longer side of the parallelogram, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides and the cosine of the included angle.

In this case, one of the diagonals is 12 meters and the other is 20 meters. The included angle is 60°.

Letting 'a' be the length of the longer side, we can set up the equation:

a^2 = 12^2 + 20^2 - 2(12)(20)cos(60°)= 304

a=17.43

Find the area of the quadrilateral in the figure

Answers

answer is option C 19.64 sq units

In the given figure the area of quadrilateral is 19.64 square units.

Option (C) is correct.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180.

In the given figure,

A quadrilateral is shown.

The quadrilateral can be seen as two triangles,

One triangle whose sides are 6, 6 and 5

And second triangle whose sides are 3, 4, and 5.

In first triangle, use Heron's formula to find the area,

The area of triangle = √ S.(S- a).(S -b).(S-c)

The semi perimeter of triangle = 6 + 6 +5 / 2 = 17 / 2 = 8.5

Area = √ 8.5 x (8.5 - 6) x (8.5 - 6) x (8.5 - 5)

= √8.5 x 2.5 x 2.5 x 3.5

= 13.635

The second triangle whose side are 3, 4 and 5, makes a right angle.

The area of second triangle = 1/2 x base x height = 1/2 x 4 x 3 = 6

Total area = 13.635 6 + 6 = 19.635

The required area of quadrilateral is 19.635 square units.

To know more about Triangle on:

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AB=diameter of the circle O. OC=radius. Arc AXB is an arc of the circle with centre C. Prove areas of the shaded region are =

Answers

1.
Draw a circle with center C And radius CA, as shown in the attached picture.

Let the lengths of radii AO, OB, OC be R. Triangle ABC is inscribed in the circle with center O and one of its sides is a diameter, this means that the angle ACB is a right angle.
|AO|=|OC|=R, by the Pythagorean theorem |AC|=[tex] \sqrt{2}R [/tex].

these are all shown in the picture.

2.

Area of triangle ABC is 1/2 * 2R * R= R^2

3.

Let the area between arc BXA and chord AB be Y. (the yellow region).

and let G be the shaded region between arcs AB and AXB.

G=1/2(Area circle with center O)-Y
=[tex] \frac{1}{2} \pi R^{2}-Y [/tex]

To find Y:

Notice that the area of the sector ACB is 1/4 of the area of circle with center C, since m(ACB) is 1/4 of 360 degrees.

So Area of sector ACB = [tex]\frac{1}{4} \pi (\sqrt{2} R)^{2}=\frac{1}{4} \pi*2 R^{2} =\frac{1}{2} \pi R^{2}[/tex]

Y =area of sector ABC-Area(triangle ABC)=[tex]\frac{1}{2} \pi R^{2}- \frac{1}{2}*2R*R=\frac{1}{2} \pi R^{2}- R^{2} [/tex]

4.

Finally,

[tex]G=\frac{1}{2} \pi R^{2}-Y=\frac{1}{2} \pi R^{2}-(\frac{1}{2} \pi R^{2}- R^{2})=R^{2}[/tex]

This proves that the 2 shaded regions have equal area.

Help? Sampling

A toy bin has twenty toys in it, five of each type. Storm wants to know which type of toy he would pick if he pulled out one.

Which of the following would be the most appropriate sampling technique?
A. He could use a spinner with four equal-sized sections, one for each toy.

B. He could make a chart to show all of the toys that other people pulled out. <<?

C. He could use a spinner with five equal-sized sections, one for each toy.

D. He could use a random number generator with the total number of toys as the top number.

Answers

Answer:

Option (C) is correct choice.

Explanation:

The most appropriate sampling technique for Storm to determine which type of toy he would pick from the bin is option C. He could use a spinner with five equal-sized sections, one for each type of toy.

Option A (using a spinner with four equal-sized sections) does not accurately represent the distribution of toys in the bin, as there are five types of toys.

Option B (making a chart of toys that other people pulled out) relies on the data from others and does not involve Storm directly selecting a toy.

Option D (using a random number generator) is not as straightforward and intuitive as directly selecting a toy from the bin.

Therefore, option C provides Storm with a fair and simple method to randomly select one type of toy from the bin.

Factor k 2 + 13k + 12.

Answers

Simplifying k2 + -13k + 12 = 0
Reorder the terms: 12 + -13k + k2 = 0
Solving 12 + -13k + k2 = 0
Solving for variable 'k'.
Factor a trinomial. (1 + -1k)(12 + -1k) = 0

Answer:

The factors of the given polynomial are : (k + 1)(k + 12)

Step-by-step explanation:

The quadratic equation which is needed to be factorized is given as :

k² + 13k + 12

In order to factorize this, arrange 13k in such a way that the product of its factors equals to 12k² ⇒ 13k = 12k + k

⇒ k² + 13k + 12

⇒ k² + k + 12k + 12

⇒ k(k + 1) + 12(k + 1)

⇒ (k + 1)(k + 12)

Hence, The factors of the given polynomial are : (k + 1)(k + 12)

What is the area of the rectangle shown on the coordinate plane?

Answers

area of rectangle = L x W = 7x3 = 21

answer
21 square units

A=LW

A=(5-2)(3--4)

A=3(7)

A=21 u^2

what is the surface area of a square pyramid with a base of 12cm and a slanted height of 8cm?

Answers

Base:
12*12= 144 cm^2

Triangle sides:
12*8/2= 48 cm^2 each

Multiply by 4 because there are four of them
48*4= 192 cm^2

Add the base
192+144=336 cm^2

Final answer: 336 cm^2

What is the surface area of a cone with a diameter of 28 cm. and height 22 cm in terms of Ï.

196Ï cm2
365Ï cm2
561.1Ï cm2
2202.8Ï cm2

Answers

To find the surface area of a cone, use this formula.

pi (r) (r + [square root of h^2 plus r^2] ) substitute

h = height = 22 r = radius = 28/2 = 14 [ ] = sq. root

pi (14) (14 + [ 22^2 + 14^2 ]) solve exponents

pi (14) (14 + [484 + 196]) add

pi (14) (14 + [680]) solve square root

pi (14) (14 + 2[170]) add

pi (14) (40.0768) multiply

pi (561.075) is about 561.1 rounded to nearest tenth

So the answer is C. 561.1pi cm^2

Cylindrical coordinates? Hi,
I am having problems with a homework question,
I am asked to sketch the solid by the given inequalities.
0 <= theta <= pi/2 and r <= z <= 2
How do I find r?
If possible please guide me to the answer instead of giving it to me. I need to know this stuff.
Thanks in advance for any help.

Answers

[tex]0\le\theta\le\dfrac\pi2[/tex] tells you that [tex]x\ge0[/tex] and [tex]y\ge0[/tex].

Recalling that in cylindrical coordinates, [tex]r^2=x^2+y^2\implies r=\sqrt{x^2+y^2}[/tex], we then know that [tex]0\le\sqrt{x^2+y^2}\le z[/tex], and so we're confined to the first octant (where each of [tex]x,y,z[/tex] are non-negative).

The upper limit of [tex]z\le2[/tex] tells us that the region is bounded above by the plane [tex]z=2[/tex], which is parallel to the [tex]x[/tex]-[tex]y[/tex] plane.

Meanwhile, the lower limit of [tex]z=r=\sqrt{x^2+y^2}[/tex] can be visualized by first squaring both sides:

[tex]z=\sqrt{x^2+y^2}\implies z^2=x^2+y^2[/tex]

If you're not already familiar with what this equation represents, we can approach it piecemeal. At one extreme, when [tex]x=y=0[/tex], we have [tex]z=\sqrt{0^2+0^2}=0[/tex], so the region has a "vertex" at the origin.

When [tex]z=2[/tex], we have the Cartesian equation [tex]4=x^2+y^2[/tex], which corresponds to a circle of radius 2. Similarly, if we consider values of [tex]z[/tex] between 0 and 2, we end up with circles of increasing radii. Stacking these circles onto one another, we get a cone.

More specifically, the region is the part of the cone between the [tex]x[/tex]-[tex]y[/tex] plane and the plane [tex]z=2[/tex] restricted to the first octant.

(Image of region attached)

Select the postulate or theorem that you can use to conclude that triangles are similar.

Answers

Answer:

AA similarity postulate.

Step-by-step explanation:

Two triangles which are of same shape are called similar triangles.

In the given triangles two angles are marked 90 degrees and another pair of angles are marked the same that is equal.

In the given figure:

m∠P==m∠L=90°

m∠J=m∠M.

Two angles are equal .

The AA similarity postulate states: if two pairs of corresponding angles are congruent, then the triangles are similar .

Answer :AA similarity postulate.

Answer:

Step-by-step explanation:

Choose one of the factors of x3 + 343

Answers

Hello there!

The factorization for x³ + 343 is (x + 7)(x² - 7x + 49)

I hope that helps!

Best explained and correct answer gets brainliest.

Answers

value = 45 x (1+0.015)^15

45 x 1.015^15=

45 * 1.25 = 56.26

answer is B $56.26

A positive integer is 47 more than 9 times another. their product is 18601860. find the two integers.

Answers

y = 9x + 47
and
xy = 18601860

substitute for y in second equation:-

x(9x + 47) = 18601860

9x^2 + 47x - 18601860 = 0

factoring 18601860 is a pain so we use the quadratic formula:-

x = [(-47 +/- sqrt (47^2 - 4*9*-18601860)] / 18

this gives x = 1435 , -1440 so we want x=1435 as its positive

this make y = 9(1435) + 47 = 12962

the 2 integers are 1435 and 12962

Take a look at the table of possible outcomes when a pair of fair dice is rolled. What is the probability that the sum of the numbers rolled is either even or a multiple of 5?

Answers

Mark the entries in the table that are even. Those values are: 2, 4, 6, 8, 10, 12
There are 1+3+5+5+3+1 = 18 cases where this happens

Now mark the entries that are 5 or 10. There are multiples of 5. There are 4+3 = 7 cases of either 5 or 10.

If we add up 18 and 7, we get 18+7 = 25. Now subtract out the cases where we get both an even number AND a multiple of 5. So the three tens are counted twice. We go from 25 to 25-3 = 22

Divide this value (22) over the total number of outcomes (6*6 = 36). Doing this gets us
22/36 = 11/18

The answer is choice A

Answer:

He is correct

Step-by-step explanation:

The formula for the volume of a pyramid is V=13BhV=13Bh, where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h).

h=B3Vh=B3V

h=V3Bh=V3B

h=3VBh=3VB

h=3BV

Answers

The volume of a pyramid
[tex]V = \frac{1}{3}Bh \ \ \to \ \ h= \cfrac{V}{ \frac{1}{3}B } = \cfrac{3V}{B} [/tex]

To solve for the height h in the volume formula V = 1/3Bh for a pyramid, the formula needs to be rearranged to h = 3V/B by first multiplying both sides by 3 and then dividing by B.

The formula for the volume of a pyramid is V = 1/3Bh, where B is the area of the base and h is the height. To solve for the height, h, we need to rearrange the formula.

Starting with V = 1/3Bh, we want to isolate h:

Multiply both sides of the equation by 3 to cancel out the fraction: 3V = Bh.

Next, divide both sides by B to solve for h: h = 3V/B.

The correct formula to solve for height is h = 3V/B.

A video game that costs $30 is on sale for 25% off. What is the sale price?
$37.50
$5
$27.50
$22.50

Answers

If it is on sane for 25% off, that's the same as being on sale for 75% of the original price.

Multiply the original cost by 75% in decimal form.

30*.75=22.5
Final answer: $22.50

Round to the nearest hundredth.

Answers

the answer is 90 because you multiply 45 by 2 to find arc length

Which equation represents the vertical asymptote of the graph?

Answers

In this question, with the help of the graph we have to find the vertical asymptote .

First let's check out what is vertical asymptote .

Vertical asymptotes are straight lines of the equation , toward which a function f(x) approaches infinitesimally closely, but never reaches the line.

And in the graph, the function approaches to 12 but never touches it .

So the vertical asymptote is x=12 .

The equation which represents the vertical asymptote of the graph given is; x =12.

The Vertical Asymptote of a graph

The vertical asymptote of a graph is simply a vertical line on the x-axis to which the graph of a function approaches but never touches.

By observation, the line x=12 separates the curves and both curves do not touch the line.

Ultimately, the line x=12 is the vertical asymptote of the given graph.

Answers

A = P(1-r)^t

A = 3900(1-0.08)^10

A = 3900(0.92)^10

A = 3900(0.434388454)

A = 1694.11

1694 square km

The sum of a certain number and 3 times the number is 40. what is the number?

Answers

3n + n = 40
4n = 40
n = 40/4
n = 10 <==

The value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The sum of a certain number and 3 times the number is 40

Let the number is x

From the question, we can frame a linear equation in one variable

3x + x = 40

Adding like terms:

4x = 40

Divide by 4 into both sides

x = 40/4

x = 10

Thus, the value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.

Learn more about the linear equation here:

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In an isosceles triangle the base angles are congruent. True False

Answers

True the base of an isosceles triangle are congruent

False, because the base angles of an isosceles triangle are congruent, if one base angle is right angle then both base angles are going to be right angles

9.1 ÷ 3576 long division

Answers

The answer is 0.002544743....
If you are trying to do 3576/9.1, then the answer is 392.967033
hope this helps:))

Answer: the answer is 0.00254474272

goooood luck

Chelsea made 15 of the 28 recipes she downloaded from the Internet. What percent of the recipes did she make?

Answers

Final answer:

Chelsea made 15 out of 28 recipes she downloaded from the Internet, which translates to approximately 54% of the recipes when calculated using the percentage formula: (Part/Total) × 100.

Explanation:

To find out what percent of the recipes Chelsea made, we will use the formula for calculating the percentage:

Percentage = (Part/Total) × 100

Here, the part is the number of recipes she made, and the total is the number of recipes she downloaded. Chelsea made 15 recipes out of 28. So we set it up like this:

Percentage = (15/28) × 100

Solution:

Percentage = (15/28) × 100

Percentage = 0.5357... x 100

Percentage = 53.57...

When you round to the nearest whole number, Chelsea made approximately 54% of the recipes.

Chelsea made approximately 53.57% of the recipes from the Internet, totaling 15 out of 28 recipes.

To find the percentage of recipes Chelsea made, follow these steps:

Step 1: Calculate the fraction of recipes she made.

Fraction made = (Number of recipes made) / (Total number of recipes)

= 15 / 28

Step 2: Convert the fraction to a percentage.

Percentage = Fraction * 100

= (15 / 28) * 100

Step 3: Perform the calculation.

Percentage = (15 / 28) * 100

≈ 53.57%

So, Chelsea made approximately 53.57% of the recipes.

Name all sets of numbers to which each real number belongs

Answers

Real Number
Whole Numbers:0,1,2,3,4,5,6,7,8,9,10,etc.
Counting Numbers:1,2,3,4,5,6,7,8,etc.
Natural Numbers:which is whole or counting numbers depends on the topic
Integers:-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,etc.

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