The radius of a circle is 1 centimeter. What is the area of a sector bounded by a 90° arc?

Answers

Answer 1

Answer:

[tex]Area = 0.785cm^2[/tex]

Step-by-step explanation:

Given

[tex]r = 1cm[/tex] -- radius

[tex]\theta = 90^{\circ}[/tex]

Required

Determine the area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

Substitute values for r and [tex]\theta[/tex]

[tex]Area = \frac{90}{360} * \pi * (1)^2[/tex]

Simplify 90/360

[tex]Area = \frac{1}{4} * \pi * (1)^2[/tex]

[tex]Area = \frac{1}{4} \pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]Area = \frac{1}{4} * 3.14[/tex]

[tex]Area = 0.785cm^2[/tex]


Related Questions

Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?

The older sibling will catch the younger sibling after ? second(s) and running ? feet.

Answers

Answer:

it would take approximately 8 seconds

Step-by-step explanation:

7x8 + 32 =88 but will take 8 seconds to get 88 with going 11 feet per sec 8×11=88

1. The 1st number in an Ordered Pair is called the:
O x-coordinate
O y-coordinate
O origin

Answers

Answer:

x-coordinate my dude. the 2nd one is the y.

Step-by-step explanation:

Please mark brainliest!!!

What is the solution to this equation?

Answers

Answer:

x = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

4x - 6 = 10x - 3 ( subtract 10x from both sides )

- 6x - 6 = - 3 ( add 6 to both sides )

- 6x = 3 ( divide both sides by - 6 )

x = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex]

The answer will be x=-1/2

HELP I NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

b

Two sets are shown in the Venn diagram. Set N represents the natural numbers, and Set W represents the whole
numbers. in which set does the values -45 belong?

Answers

Answer:

In my opinion this is the whole w

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

both

A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;

a). With replacement
i). Both are red
ii). One is black and the other yellow

b). Without replacement
i). Both are red
ii). One is black and the other yellow ​

Answers

Answer:

a)i)1/16

ii)5/36

b)i)5/96

ii)20/69

Step-by-step explanation:

a) i) 6/24 =1/4

1/4*1/4=1/16

a)ii)8/24=1/3    10/24=5/12

1/3*5/12=5/36

b)i) 5/24*1/4=5/96

ii) 1/3*10/23=10/69

5/12*8/23=40/276=20/138=10/69

10/69+10/69=20/69

The probabilities are; 1/16, 5/36, 5/96 and 20/69

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.

a) With replacement:

i) The probability that both will be red =

6/24 =1/4

1/4x1/4=1/16

ii) The probability of getting one black and a yellow =

8/24=1/3    10/24=5/12

1/3x5/12=5/36

b) Without replacement;

i) The probability of getting both red =

5/24x1/4 = 5/96

ii) The probability of getting one black and a yellow =

1/3x10/23 = 10/69

5/12x8/23 = 40/276 = 20/138 = 10/69

10/69+10/69 = 20/69

Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69

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Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

1-yes rhombus

2-no rhombus

3-yes rhombus

The sets of ordered pairs below represent relations.

1. (0,0), (1,1), (2,2), (3,3), (4,4)
2. (1,2), (2,1), (1,3), (0,1), (3,1)
3. (0,2), (1,2), (2,4), (3,4), (3,6)
4. (1,6,), (2,6), (3,6), (4,6), (5,6)

Which of these sets are also functions?

1 only
1 and 4
2 and 3
2,3, and 4

Answers

Answer:

2,3, and 4

because it shows y ≠ x which is not the case for 1

The required sets that also function are 1 and 4. Option B is correct.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

1.
(0,0), (1,1), (2,2), (3,3), (4,4)
Above ordered pairs represent the following function,
f(x) = x

Similarly,
ordered pair given in 2 and 3 would not form the function,
While the ordered pair gave in 4 forms a function of f(x) = 0

Thus, the required sets that is also function are 1 and 4. Option B is correct.

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how to solve a problem like 5x-1-9x=6x-4

Answers

Answer: -10x=-3

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

First you have to start by combining like terms.  On the left side of the equations we can combine the like terms 5x and -9x to get -4x

Now the equation is -4x-1=6x-4 Now solve for x

Add 4x to both sides      -1=10x-4

Add 4 to both sides        3=10x

Divide both sides by 10    x=3/10

Select all equations that have graphs with the same y-intercept.

y = 3x - 8
y = 3x - 9
y = 3x + 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8

Answers

y=3x-8
y=5x-8
y=2x-8
y=1/3x-8
the y intercept is the b in y=mx+b and all of these have -8 as the y int

The equations that have graphs with the same y-intercept are:

y = 3x - 8y = 5x - 8y = 2x - 8y = (1/3)x - 8

To determine which equations have graphs with the same y-intercept, we need to look for equations that have the same constant term when written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

The y-intercept is the value of y when x is equal to 0. In other words, it is the point where the graph intersects the y-axis.

Let's compare the equations and their constant terms:

y = 3x - 8 (Constant term: -8)

y = 3x - 9 (Constant term: -9)

y = 3x + 8 (Constant term: 8)

y = 5x - 8 (Constant term: -8)

y = 2x - 8 (Constant term: -8)

y = (1/3)x - 8 (Constant term: -8)

From the comparison, we can see that the equations y = 3x - 8, y = 5x - 8, y = 2x - 8, and y = (1/3)x - 8 all have the same constant term of -8. This means that their graphs will have the same y-intercept, which is -8.

Therefore, the equations that have graphs with the same y-intercept are:

y = 3x - 8

y = 5x - 8

y = 2x - 8

y = (1/3)x - 8

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Which inequality is true
Pls answer

Answers

Answer:

d

Step-by-step explanation:

How to do these math problems, due tomorrow and I need them done asap, really stressed

Answers

PLEASE ATTACH A FILE THERE IS NOTHING TO LOOK AT aabdnsks it wont send akak
Answer:

You forgot to attach an image

Explanation:

Y'all I kinda need help in this problem​

Answers

Answer:

4

Step-by-step explanation:

15km in 1 hour

60 minutes in 1 hour

60 min/15km

4 min per km

A cell phone costs 120 dollars. The price reduced 30% for a sale. How much is the savings

Answers

Answer:

You save 36 dollars.

Step-by-step explanation:

30% of 120 is 36.

You spend $84

7/2x + 1/2x = 10 + 9/2x

Answers

Answer:

x=-1/20

Step-by-step explanation:

7/2x+1/2x=10+9/2x

We move all terms to the left:

7/2x+1/2x-(10+9/2x)=0

Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R

Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R

We add all the numbers together, and all the variables

7/2x+1/2x-(9/2x+10)=0

We get rid of parentheses

7/2x+1/2x-9/2x-10=0

We multiply all the terms by the denominator

-10*2x+7+1-9=0

We add all the numbers together, and all the variables

-10*2x-1=0

Wy multiply elements

-20x-1=0

We move all terms containing x to the left, all other terms to the right

-20x=1

x=1/-20

x=-1/20

Answer:

[tex] \frac{7}{2} x + \frac{1}{2}x = 10 + \frac{9}{2} x \\ ( \frac{7}{2} + \frac{1}{2} - \frac{9}{2} )x = 10 \\ \frac{ - 1}{2} x = 10 \\ - x = (10 \times 2) \\ x = - (10 \times 2) \\ x = -20[/tex]

A pickup truck travels 45 Mi on 2 and 1/3 gallons and goes19 miles on one gallon of gas. At that rate how far will it travel on 4 1/4 gallons of gas?

Answers

so 45 and 88 is the next number to divided by 8

(2x10^5) divided by (4x10^2)

Answers

Answer:

[tex]\huge\boxed{0.5\times10^3=0.5\times1,000=500}[/tex]

Step-by-step explanation:

[tex](2\times10^5)\div(4\times10^2)=\dfrac{2}{4}\times\dfrac{10^5}{10^2}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m};\ a\neq0\\\\=0.5\times10^{5-2}=0.5\times10^3=0.5\times1,000=500[/tex]

plz someone help ASAP! thanks​

Answers

Answer:

B

Step-by-step explanation:

Because at least means not less than 50 or equal to 50

Since he wrote 18 pages then you have to add.

Find the difference 0.2 - 0.05 =

Answers

Answer:

0.2-0.05=0.15

Step-by-step explanation:

0.2=0.20

0.20-0.05=0.15

The required difference between 0.2 and 0.05 is 0.15, which is determined by the subtraction operation.

To find the difference between 0.2 and 0.05, we subtract 0.05 from 0.2:

0.2 - 0.05 = 0.15

The difference between 0.2 and 0.05 is 0.15.

When subtracting decimals, we align the decimal points and subtract each place value. In this case, both numbers have one decimal place, so we subtract the tenth place.

Starting from the right, we have 0 in the tenth place of 0.2 and 0 in the tenth place of 0.05. Subtracting 0 from 0 gives us 0.

Therefore, the difference in the tenth place is 0.

Since there are no other place values to subtract, the resulting difference is 0.15.

Learn more about subtraction here:

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Find the value of x. ​

Answers

The triangle is equilateral, because all three angles will measure 60 degrees. This means that all three sides are equal, so:

7x + 19 = 11x - 89

4x = 108

x = 27

Aspen added 14 to the product of 224 and 16 . What is the sum

Answers

Answer:

3,588

Step-by-step explanation:

224 x 16 + 14

= 3,588

hope this helps and have a good day!

help help help PLS TY

Answers

I think it's 4, 2, 3, 1

select the three objectives mosquitoes hovered around the small puddle of still murky water in the background ​

Answers

Answer:

Step-by-step explanation:

Find the x-intercept and y-intercept
from the following linear equation:
- 7x + 4y = 56
x-intercept ([?],[ ])
y-intercept ([?],[ ])

Answers

This should be the answer
y= 7/4x + 14

Janice wants to paint this figure on her wall in her bedroom. If paint cost $3.89 per square unit, how much will it cost to paint this figure on her wall?

Answers

Answer:we need to know the size of the wall

Step-by-step explanation:

solve: logx 64 = 3. Which is an equivalent equation?

Answers

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

2

+

2

i

3

,

2

2

i

3

Step-by-step explanation:

In the diagram if AE = AB, find the area shaded.

Answers

Answer:

Area shaded = 60 [tex]cm^{2}[/tex].

Step-by-step explanation:

From the given diagram,

Area shaded = Area of the trapezoid EBCD

Given that: AE = [tex]\frac{1}{3}[/tex]AB

                        =  [tex]\frac{1}{3}[/tex] x 12    (∵ AB = CD = 12 cm)

                        = 4 cm

                  AE = 4 cm,

Thus,

EB = (12 - 4) cm

    = 8 cm

EB = 8 cm

Area shaded = [tex]\frac{1}{2}[/tex] (EB + CD) x AD

                     =  [tex]\frac{1}{2}[/tex] (8 + 12) x 6

                     = (20) x 3

                     = 60

Area shaded = 60 [tex]cm^{2}[/tex]

Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. ? 16.32 rounded to the nearest tenth is 16.3. ? 16.32 rounded to the nearest hundredth is 16.33. ? Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. true or false 16.32 rounded to the nearest tenth is 16.3. true or false 16.32 rounded to the nearest hundredth is 16.33. true or false plz explain

Answers

Answer:

a)16.32 rounded to the nearest whole number is 16 feet per second? True

b) 16.32 rounded to the nearest tenth is 16.3.? True

c) 16.32 rounded to the nearest hundredth is 16.33. ? False

Step-by-step explanation:

Select True or False for each statement.

a) 16.32 rounded to the nearest whole number is 16 feet per second. ?

16.32 to nearest whole number = 16 feet per second. This statement above is true.

b) 16.32 rounded to the nearest tenth is 16.3. ?

The number in the tenth position is 3, the number after it is 2.

Hence, 16.32 to the nearest tenth = 16.3

Hence, the above statement is true.

c) 16.32 rounded to the nearest hundredth is 16.33. ?

The number in the hundredth position is 2. There is no number after 2.

Hence,

16.32 to the nearest hundredth is 16.32

Hence, 16.32 rounded to the nearest hundredth is 16.33 is a false statement.

A bicycle shop advertised all mountain bikes priced at a 1/3
discount. If the original price is $432, what is the sales
price?

Answers

Answer:

$288

Step-by-step explanation:

1/3 of a discount is = 2/3 of price

Multiply 432 by 2/3 and get 288.

Answer:

$288

Step-by-step explanation:

A 1/3 discount is .3333333... percent and so you simplify to .33 or 33% of a discount.

Multiply 432x.33 = 144

Subtract 432-144 to get 288 as you answer

Is the scale factor k=1.5 an enlargement, a reduction or an isometry?"
A. Enlargement
B. Reduction
C. Isometry

Answers

It would be a so that you could min dig das

Answer:

Step-by-step explanation:

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