The radius of a circle is 2 inches. What is the area of a sector bounded by a 45° arc?

Answers

Answer 1

Answer:

Step-by-step explanation:

Area = angle / 360 * pi * r^2

angle = 45

r = 2

pi = 3.14

Area = 45 / 360 * 3.14 * 2^2

Area = 365.2 / 360

Area = 1.57 square inches.

Answer 2

Answer:

a = π/2 in²   Exact answer

a = 1.5707963268  in²     Decimal approximation

Step-by-step explanation:

a = (∅/360) * πr²

a = (45/360) * π(4)

a = π/2 in²   Exact answer

a = 1.5707963268  in²     decimal approximation


Related Questions

Una micra (μm) es una milésima de milímetro. Si la densidad del agua es 1000 kg/m³, ¿cuál es la masa de 10⁹ μm³ de agua?

Answers

Answer:

La masa de 10⁹ μm³ de agua es 1 mg.

Step-by-step explanation:

La densidad del agua es:

[tex] d = \frac{m}{V} = 1000 kg/m^{3} [/tex]

En donde:

m: es la masa =?

V: es el volumen = 10⁹ μm³

Para encontrar la masa de agua debemos convertir las unidades del volumen de μm³ a m³:

[tex]V = 10^{9} \mu m^{3}*\frac{1 m^{3}}{(10^{6} \mu m)^{3}} = 10^{-9} m^{3}[/tex]

Ahora, la masa es:

[tex]m = d*V = 1000 kg/m^{3}*10^{-9} m^{3} = 10^{-6} kg = 10^{-3} g = 1 mg[/tex]                      

Por lo tanto, la masa de 10⁹ μm³ de agua es 1 mg.

Espero que te sea de utilidad!          

HELPPPPP ANSWER GETS BRAINLIEST

Answers

Answer:

56 degrees

Step-by-step explanation:

If you look at the m<KLN you can see that it is an acute angle. So, with this being said you have to know that the measure KLN is going to be less than 90 degrees. So you would subtract 180 and 124 and you would get 56 degrees.

I hope this helps :)

A. X=3
B. X=4
C. X=5
D. X=6
E. X=7

Answers

The answer is B your welcome

Which graph best represents the solution to the following pair of equations?

y = 4x + 2
y = x + 5

Answers

second graph

explanation:
1. they both are increasing so only graph 1 & 4 fits
2. the y-intercept of y=x+5 is 5 so it’s graph 2

Answer:

The first picture with the (1,6)

Step-by-step explanation:

If you plug in the numbers in the equations you will see that they both equal 6.

6=4(1)+2

6=4+2

6=6

6= (1)+5

6=6

Using the figure shown, match each Trigonometic Ratio to the ratio of the sides.

Answers

Answer:

Step-by-step explanation:

Sin(A) = a/c

Cos(A) = b/c

Tan(A) = a/b

Answer:

Solution given:

Trigonometic Ratio to the ratio of the sides. are.

SinA=a/c

CosA=b/c

TanA=a/b

hi pls help i’ll give brainliest

Answers

Answer:

Nuclear fusion that takes place between hydrogen atoms.

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Like most stars, the sun is made up mostly of hydrogen and helium atoms in a plasma state. The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons.

Function g can be thought of as a scaled version of f(x)=x^2


Write the equation for g(x)

Answers

A scaled version means that our leading coefficient will change. Let's set up an equation to find our leading coefficient, a.

g(x) = a * x^2

Now that we have our equation, we need a point that is on g(x). The point given is (4,8). Let's use that point and plug x and y into our equation so that we can solve for a.

8 = a * (4)^2

8 = a * 16

a = 1/2

All that's left to do is plug in our a value into g(x).

g(x) = 1/2 x^2

Hope this helps!! :)

Five and one half of 2 and one third is what number?

Answers

Given:

Five and one half of 2 and one third.

To find:

The number for the given statement.

Solution:

Five and one half = [tex]5\dfrac{1}{2}[/tex]

2 and one third = [tex]2\dfrac{1}{3}[/tex]

The given statement is five and one half of 2 and one third.

Here, the word "of" is used for multiplication.

So, the expression for the given statement is:

[tex]5\dfrac{1}{2}\times 2\dfrac{1}{3}[/tex]

[tex]=\dfrac{10+1}{2}\times \dfrac{6+1}{3}[/tex]

[tex]=\dfrac{11}{2}\times \dfrac{7}{3}[/tex]

[tex]=\dfrac{77}{6}[/tex]

Therefore, the required number is [tex]\dfrac{77}{6}[/tex].

7 2/3+(-5 1/2)+8 3/4=?

Answers

Answer:

10.9166666667 or 10 11/12

hope this helps

have a good day :)

Step-by-step explanation:

$12500 is invested at a compound interest rate of 9% pa. Interest, however,
is compounded monthly. Use the formula to calculate the amount to which
the investment will grow in 4 years.

Answers

Answer:

£4500

Step-by-step explanation:

12500 ×9/100

=1125

4 years =1125×4

=£4500

Mr.Jamison brought 15 tubs of paint for the art classes he teaches for his Elementary kids. He paid $63.90 for the paint.If each tube of paint costs the same amount, what was the price of one tube?​

Answers

Answer:

$4.26

Step-by-step explanation:

63.90 divide by 15 = $4.26

the price of one tube is $4.26

The radius of a cylinder is equal to its height, and it has a total
surface area of 500 cm?. Find its height.

Answers

Answer:

250

Step-by-step explanation:

Divide the half from the surface area formula and it will give you the correct answer

There are 5 billiard balls in a velvet bag. Three
of the balls are striped and the other 2 are
solid. What's the probability of pulling out a
striped ball? Write your answer as a fraction.

Answers

Answer:

3/5

Step-by-step explanation:

so
The final step in any equation is this


Answers

Isolate the variable

1.) Write an equation of the line that passes through the point (3,-2) and is
perpendicular to y=-1/2X+4.*
Your answer

Answers

Answer:

y = 2x - 8

Step-by-step explanation:

Someone help please :)

Answers

Answer:

comment if you need a better explanation

Find the length of the hypotenuse

Answers

Answer: The answer is “10cm”

Step-by-step explanation: To get to this answer we first need to know the formula for find the hypotenuse which is a^2 + b^2 = c^2. A and B are the two sides in this case a and b are 8 cm and 6 cm. Then you plug in the values into the equation, it looks like this 8^2 + 6^ = c^2 once you solve you get 64 + 36 = c. When you add 64 and 36 you get 100 but their is one more step. You must find the square root of 100 which is 10. So your answer for the hypotenuse is “10cm”

Have a nice day!

PLEASE HELPPPP I NEED THIS FASTTTTT

Answers

Answer:

[tex]there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%[/tex]

PLEASE HELP ME! THANKS SO MUCH!! EXPLAINING THE ANSWE = BRAINLIEST

The city of Redmond is planning to build a new park by enlarging the current park by a scale factor of 3. The current park has an area of 30,125 yd².

The area of the new park is ___ yd².

Answers

Answer:

The answer is 602,000 yd^2.

Step-by-step explanation:

just multiply the original area by 16

37625 times 16= 602000

Answer:

The answer is 602,000 yd^2.

Step-by-step explanation:

37625 multiply  16 = 602000

Hope this answer helps you :)

Have a great day

Mark brainliest

Solve for k.
8(10 - k) = 2k

answer: k=8

Answers

Answer:

k=8

explaining the answer

80 - 8K = 2K

false, 64 does not equal 16

8(10-2) = 2(8)
8(8)=64 = 16
64=16

In C = A + B, what is the value of the entry represented by C41?
OA. -2
OB. 2
Ос.
-16
OD. 16

Answers

Answer

C41 = 2

This very simple to do.

First locate the entry in A41 in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 7.

Then multiply by the scalar which is 2 to get,

Next we locate the entry in B41 in matrix B also. Which is 4. We multiply by the scalar of -3 to get,

-3 x 4= -12

We now add these two corresponding entries to obtain,

14+-12= 2

HELP PLZ ILL GIVE BRAINLIEST

Answers

Answer: (a)

Step-by-step explanation:

Given

Polynomial is [tex]-5+x^2+x^3[/tex]

In standard form, Polynomial is written in the form of

[tex]ax^n+bx^{n-1}+cx^{n-2}+dx^{n-3}+\ldots[/tex]

That is leading term must have highest degree

Arranging according to the standard form

[tex]\Rightarrow x^3+x^2-5[/tex]

The above expression is cubic trinomial because degree of x is 3.

Hence, option (a) is correct.

2. The following data set shows the number of points scored by rugby team in season of matches: (5
27,25,16, 6,43,34, 16, 35,48,29,28,5,32,48,41,26,25,19,28,42,25
Find the a) mean
b) median
c) mode
d) range
e) interquartile range





Helppp

Answers

Answer:

Hope it helped :)

Step-by-step explanation:

[tex]a)Mean = \frac{sum \ of\ the\ data} {number\ of\ data} = \frac{598}{21} = 28.48\\\\b) Median = middle\ number = 28\\\\c)Mode = most \ frequently \ occured \ number = 25\\\\d) Range = 48 - 5 = 43\\\\e)Inter Quartile Range = Q_3 - Q_1 = 16[/tex]

Susan wants to hire one of two mechanics to repair her car. Each mechanic charges a one-time fee in
addition to an hourly rate.
Mechanic A charges a one-time fee plus $35 per hour. A repair made by Mechanic A that takes 5 hours to
complete will cost a total of $225.
This table shows the total cost, including the one-time fee, for repairs made by Mechanic B that take
different numbers of hours to complete
Mechanic B
Time
(hours)
Total Cost
(dollars)
1
80
2.
120
3
160
4.
200
5
240
6
280
How much more money in dollars does Mechanic A charge for the one-time fee than Mechanic B
charges?

Answers

there no table showing mechanic b. but mechanic a charges a one time fee of $50

35 an hour times 5 hours is 175

the total of 225 -175= $50 as a one time fee

6x^8 + 4x^5 + (n + 1)x^2-n / 10x - 10
quien me ayuda

Answers

Answer:

parte 1) | Superprof

1 Indica cuáles de las siguientes expresiones son monomios. En caso de ... 4 Encuentra el valor numérico del polinomio P(x) = x^3 + 3x^2 - 4x - 12 ... d) (10x – 5/4x³ + 5/2x² – 1/2) : (5x)

41. Steven wants to buy a $535 bicycleSteven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?

Answers

Answer:

17 weeks of deposits will pay for his bike and his sister

Step-by-step explanation:

What is 8.35, 345.67, 98.43, 90.8 and 25.45 in expanded form?

Answers

Answer:

558.0981

Step-by-step explanation:

5.67, 98.43, 9What is 8.35, 345.67, 98.43, 90.8 and0.8 and 25.45 in expanded form?

Describe the transformation

Answers

this would be a reflection across the x - axis

(x,y) --> (x,-y)

Solve the inequality -8m < 24

Answers

Answer:

m > -3

Step-by-step explanation:

-8m/-8 < 24/-8

when dividing by a negative number the sign changes

m > -3

What similarity statement can you write relating the three triangles in the diagram.

Answers

Answer:

c. triangle JMK....triangle LMK.....triangle JLM

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