if the circumference of a circle measures 3 cm, what is the area of the circle in terms of ?

if the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?

Answers

Answer 1

the circumference equation is 2pi r and the circumference for this problem is 3pi so that would mean that the radius is 1.5

with that info, we can find out the area of the circle which is pi r squared.
1.5*1.5=2.25

AREA=2.25pi

Answer 2

The area of the given circle, in terms of pi, is:

A = (9/4)pi cm^2

How to find the area of the circle?

We know that for a circle of radius R, the circumference is:

C = 2*pi*R

And the area is:

A = pi*R^2

In this case, we know that:

C = 3pi cm = 2pi*R

Then we must have:

3cm = 2R

(3/2)cm = R

Now we can replace this on the area equation:

A = pi*((3/2)cm)^2 = pi*(9/4) cm^2

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Related Questions

if a and b are acute angles such that sinA=4/5 and cosB=12/13, calculate, without using tables: sin(a-b)

Answers

[tex]\sin \alpha = \frac{4}{5} \\ \cos \alpha = \sqrt{1-\sin^2 \alpha }= \sqrt{1- \frac{16}{25} } = \sqrt{ \frac{9}{25} }= \frac{3}{5} \\ \\ \cos \beta = \frac{12}{13} \\ \sin \beta = \sqrt{1-\cos^2 \beta }= \sqrt{1- \frac{144}{169} } = \sqrt{ \frac{25}{169} }= \frac{5}{13} [/tex]

[tex] \\ \\ \sin (\alpha- \beta ) =\sin \alpha \cos \beta -\cos \alpha \sin \beta = \frac{4}{5}\times \frac{12}{13}- \frac{3}{5}\times \frac{5}{13} = \frac{48}{65}- \frac{15}{65}= \frac{33}{65} [/tex]

Answer:
sin(α-β) = 33/65

Find h(x, y) = g(f(x, y)). g(t) = t + ln(t), f(x, y) = 4 − xy 2 + x2y2 h(x, y) =

Answers

Final answer:

The function h(x, y) is given by the composition of the functions g(t) and f(x, y). With the given expressions for f and g, the function h(x, y) = g(f(x, y)) equals to (4 - xy^2 + x^2y^2) + ln(4 - xy^2 + x^2y^2).

Explanation:

The question asks to find the function h(x, y) from the functions g(t) and f(x, y), where g(t) = t + ln(t), and f(x, y) = 4 − xy^2+ x^2y^2. To begin with, it is necessary to substitute f(x, y) in place of 't' in function g which is g(f(x, y)), since we have h(x, y) = g(f(x, y)).

Performing the substitution, we obtain:

h(x, y) = g(f(x, y)) = (4 - xy^2 + x^2y^2) + ln(4 - xy^2 + x^2y^2).

This is your final function h in terms of x and y.

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A rectangular park is 5/6 miles wide and 1 5/7 miles long. What is the area of the park?

Please help. Answer this ASAP!!!!
Thank You!!!!

Answers

Answer:1 3/7

Step-by-step explanation: A mathematical equation

How many different four-digit numbers can be made using the digits 1, 2, 3, 4, 5, 6 if no digit can be used more than once?

Answers

To solve this problem you must use Permutation:

You want to made 4 digit numbers with the digits 1, 2, 3, 4, 5, 6 and no digit can be used more than once. So, we have:

(A,B,C,D)

A can variate in six (6) differents forms.
B can variate in (6-1)=5 differents forms.
C can variate 4 digits.
D can variate 3 digits.

Keeping this on mind, we have:

=6!/2!
=6*5*4*3
=360

The answer is: 360

34+x=46;x=12 is this problem a solution

Answers

Final answer:

The solution x=12 is correct for the problem 34+x=46, as substituting x=12 into the original equation results in 46, matching the right side. Verification by substitution is a common practice to confirm the accuracy of solutions, particularly in the case of equations with two solutions.

Explanation:

The problem provided is 34+x=46; you have also provided that x=12 is the solution. To verify if x=12 is the correct solution, we substitute x=12 into the original equation: 34+12=46. Upon calculating, 34+12 equals 46, which is indeed the right side of the equation, confirming that the solution x=12 is correct.

Moreover, in general mathematical practice, checking solutions by substituting them back into the original equation is a reliable method for verification. If a problem has two solutions, as some quadratic equations do, both solutions should be checked in this way to ensure that each solution satisfies the original equation, indicating that both are correct. For example, if we have a quadratic equation like 2x²-8=0, solving it would give us two possible values for x that can be substituted back into the equation to verify if the identity holds true for both solutions.

Final answer:

The given solution x=12 for the equation 34+x=46 is correct because when substituted back into the original equation, it results in an identity, confirming the solution's validity.

Explanation:

In mathematics, particularly in algebra, when we have an equation such as 34 + x = 46, and we are given a solution, in this case x=12, we can verify its correctness by substituting the value back into the original equation. If the equation simplifies to an identity, which is an equation that always holds true like 6 = 6, then the given solution is correct. To check if x=12 is a solution for the original problem, we perform the substitution:

34 + 12 = 46

After the substitution, the equation simplifies to:

46 = 46

This results in an identity, confirming that the given solution x=12 is indeed correct.

This process is similar to checking solutions for other types of equations, such as linear, quadratic, or higher-degree polynomials. Whether a problem has a single solution like in this case, or multiple solutions such as x=3, x=-7, each potential solution must be verified individually by substituting them back into the original equation to ensure they lead to an identity.

About 50.4 billion pieces of unopened junk mail ends up in landfills each year. This is about 48% of all the junk mail that is sent annually. How many pieces of junk mail are sent annually?

Answers

24.192 billion pieces !!
you find 48% of 50.4 billion
2 ways to do :
(50.4/100) *48
or
50.4 * (48/100)

100.4 billion pieces of junk mail are sent.

a carpenter is making a brace for a chair to do so she intersects two pieces of wood to make two sets of vertical angles the obtuse angles formed are each 145 degrees what is the measurement of each acute angle formed?

Answers

any two lines that cross form 2 sets of equal acute angles and 2 sets of obtuse angles. One of each will add to 180o.

obtuse + acute = 180
obtuse = 145
145 + acute = 180 subtract 145 from both sides.
acute = 180 - 145
acute = 35

Choose the correct simplification of the expression (5xy5)2(y3)4. 25x2y22 10x2y22 25x3y14 10x3y14

Answers

Answer:

A) [tex]25x^2y^{22}[/tex]

Step-by-step explanation:

The given expression is [tex](5xy^{5})^2 . (y^3)^4[/tex]

Here we have to use exponent rules and simplify the expression.

Power rule : [tex](a^m)^n = a^{mn}[/tex]

Using the above rule, we can write

[tex](5xy^{5} )^2 = 5^2.x^2.y^{5*2}[/tex]

= [tex]25.x^2.y^10[/tex]

Again using the power rule

[tex](y^{3} )^4 = y^12[/tex]

Now we have to put together this expression, we get

= [tex]25.x^2.y^{10} .y^{12}[/tex]

Now we have to use product rule.

Product rule: [tex]a^m . a^n = a^{m + n}[/tex]

Using this rule, we can simplify further

= [tex]25..x^2.y^{10 +12}[/tex]

= [tex]25x^2y^{22}[/tex]

Answer:

Option A) 25x^2y^22

Step-by-step explanation:

solve.
[tex] \sqrt{3 x - 11} - \sqrt{x} + 5 = 6[/tex]

Answers

Solve for x:
5 - sqrt(x) + sqrt(3 x - 11) = 6

Subtract 5 from both sides:
sqrt(3 x - 11) - sqrt(x) = 1

(sqrt(3 x - 11) - sqrt(x))^2 = -11 + 4 x - 2 sqrt(x) sqrt(3 x - 11) = -11 + 4 x - 2 sqrt(x (3 x - 11)) = 1:
-11 + 4 x - 2 sqrt(x (3 x - 11)) = 1

Subtract 4 x - 11 from both sides:
-2 sqrt(x (3 x - 11)) = 12 - 4 x

Raise both sides to the power of two:
4 x (3 x - 11) = (12 - 4 x)^2

Expand out terms of the left hand side:
12 x^2 - 44 x = (12 - 4 x)^2

Expand out terms of the right hand side:
12 x^2 - 44 x = 16 x^2 - 96 x + 144

Subtract 16 x^2 - 96 x + 144 from both sides:
-4 x^2 + 52 x - 144 = 0

The left hand side factors into a product with three terms:
-4 (x - 9) (x - 4) = 0

Divide both sides by -4:
(x - 9) (x - 4) = 0

Split into two equations:
x - 9 = 0 or x - 4 = 0

Add 9 to both sides:
x = 9 or x - 4 = 0

Add 4 to both sides:
x = 9 or x = 4

5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(4) + sqrt(3×4 - 11) = 4:
So this solution is incorrect

5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(9) + sqrt(3×9 - 11) = 6:
So this solution is correct

The solution is:
Answer: x = 9

The line graphed below has a slope of ____.

-3
-1/3
1/3
3

Answers

The line drops 3 squares for each one it moves to the right, so the slope is
.. -3/1 = -3

The 1st selection is appropriate.

_____
Given the choices, you can tell at a glance that -3 is the correct one. When it goes down to the right, the slope is negative. when the angle is steep, the slope has a magnitude greater than 1. Of the negative choices offered, {-3, -1/3}, the obvious choice is -3.

A line has a slope of ±1 when it makes a 45° angle with the x- and y-axes. Steeper than that is a slope whose magnitude is greater than 1. Shallower than that, and the slope has a magnitude less than 1.

The answer is: [A]: " -3 " .
_________________________________________________

By inspecting the graph: The slope = Δy / Δx = 6/-2 = -3 .
_________________________________________________

North Carolina has 12 less electoral votes than Florida right and solve a subtraction equation to find the number of electoral votes for Florida

Answers

Number of Electoral votes for Florida is 29.

The question: North Carolina has 12 less electoral votes than Florida. To find the number of electoral votes for Florida, we can set up a subtraction equation.

Let x be the number of electoral votes for Florida.

Since North Carolina has 12 less electoral votes, the equation would be x = x + 12.

Solving for x, Florida has 29 electoral votes.

plz help tyyy :))))))))))))))))))))

Answers

The upper right selection is appropriate.

_____
You really should learn how to use your graphing calculator.

Hello! :D

I just plugged this into a graphing calculator, just as the equations were written.

So, the y=x+1 was a straight line. The other one was a parabola.

They intersected at point (-1,0) and (4,5)

(4,5) and (-1,0) <== the answer

I hope this helps!
~kaikers

This is the graph of f(x). What is the value of f(3)?

A. 5
B. 6
C. 8
D. 3

Answers

8is C or 8 brooo okay

To find [tex]f(3)[/tex], we find the output when 3 is the input. By this, I mean we try to find the y when x is 3. We see that on the graph, when x is 3, y is 8. Be mindful of the scale on the y-axis, where every unit is 2, not 1.

In sum, [tex]f(3)=8[/tex], or D.

Please help me with questions 5, 6, and 7

Answers

Answer to problem 5 is A) WU = ZX.
Notice how the angle U is between WU and VU. Similarly, angle X is beween ZX and XY
The order is very important. The angles must be between the two pairs of sides.

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

Answer to problem 6 is C) 15/17.
Use the pythagorean theorem to find the hypotenuse AC to be 17 units. Then take the ratio of the adjacent and hypotenuse to get the answer.

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

Answer to problem 7 is choice C
Use the rule cos(90-x) = sin(x) where x = 72-a

glenn races his motorcycle 30 times last season. he finished first 12 times, second 5 times and crashed in 9 races. what percent of the races did he crash? set up a proportion and solve.

Answers

we know that

[percent of the races did Glenn crash]={[races crashed]/[total races]}*100
[percent of the races did Glenn crash]={[9]/[30]}*100
[percent of the races did Glenn crash]=[0.30]*100=30%

the answer is 30%

the equation of a line that goes through the points (0,0) and (300000,365)

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 0 &,& 0~) % (c,d) &&(~ 300000 &,& 365~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{365-0}{300000-0}\\\\\\ \cfrac{365}{300000}\implies \cfrac{73}{60000}[/tex]

[tex]\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=\cfrac{73}{60000}(x-0)\implies y=\cfrac{73}{60000}x[/tex]

Rewrite the equation in vertex form. y = x2 - 6x + 18

Answers

the answer is y= (x-3)^2 + 9

I hope this helps

Complete square!
Vertex form is (x-h)^2+k
meaning that the vertex is located at (h,k).

[tex]y=x^2-6x+18[/tex]
[tex]=(x^2-2(3x)+9)+9[/tex] 3^2=9
[tex]=(x-3)^2+9[/tex]
vertex form, h=3, k=9, vertex is located at (3,9)

Edited 2018-03-18
There was a suggestion to explain the completion of square as
x^2-6x=(x-3)^2-9.

However, this does not show where the (x-3) come from.
If this is a better explanation for any or all of you, here it is.

suling bought 3meters of ribbons she used 5/6meter to make a bow find the length of the ribbon left

Answers

Subtract the portion used from the whole.

= 3 m - 5/6m
must have common denominators
= (3*6)/(1*6) - 5/6
= 18/6 - 5/6
= 13/6 m
= 2 1/6 m

ANSWER: 2 1/6 meters left

Hope this helps! :)

Billy drops a water balloon from the roof of his house since the balloon begin with an original velocity of zero how far above ground was the balloon dropping if it took 2.5 seconds to hit the ground

Answers

(30.65)

it takes an object the ground times the constant gravity. in this case 2.5 seconds times 9.807 meter per square second will then give us the 30.65 meter.

have a nice day!

Titus had 1/2 can of paint. He used 2/3 to paint a tabletop. What fraction of a full can of paint did Titus use?

Answers

Final answer:

Titus had half a can of paint and used two-thirds of it, which means he used (1/2) * (2/3) = 2/6, which simplifies to 1/3 of a full can of paint.

Explanation:

The student is asking about how to calculate the fraction of a full can of paint Titus used given that he had half a can and used two-thirds of it. To find out what fraction of the full can he used, you need to perform a multiplication of the two fractions.

Here is the step-by-step calculation:

Write down the fractions: 1/2 (half a can of paint Titus had) and 2/3 (the fraction he used).Multiply these two fractions: (1/2) \\times\ (2/3)Simplify the multiplication: The numerators are multiplied together and the denominators are multiplied together: (1 \\times\ 2)/(2 \\times\ 3) = 2/6Reduce the fraction, if possible: 2/6 can be simplified to 1/3 by dividing both numerator and denominator by 2.

Therefore, Titus used 1/3 of a full can of paint.

A carpenter is assigned the job of expanding a rectangular deck where the length is four times the width. The width of the deck is to be expanded by 3 feet and the length is to be expanded by the new width. If the area of the new rectangular deck is 124 ft larger than the area of the original deck,find the dimensions of the original deck

Answers

124/6(3*2)=10.33333 thats the answer

The equation below shows the total volume (V), in cubic units, of 2 identical boxes with each side equal to s units:

V = 2s^3

If s = 3.5 units, what is the value of V?

Answers

Start with the equation,

V = 2s^3

Now substitute s with 3.5 units and evaluate the expression.

V = 2 * (3.5 units)^3

V = 2 * 42.875 units^3

V = 85.75 units^3

Answer: The volume is 85.75 cubic units

Let x and y be independent each uniformly distributed on {1,2,...,n} find p(x < y )

Answers

If we draw the contingency table of x (vertical) against y (horiz.), we have a square.
For n=4, we have (legend: < : x<y = : x=y > : x>y

y 1 2 3 4
x
1 = < < <
2 > = < <
3 > > = <
4 > > > =

We see that there are n(n-1)/2 cases of x<y out of n^2.
Therefore,
p(x<y)=n(n-1)/(2n^2)=(n-1)/(2n)

However, if the sample space is continuous, it will be simply p(x<y)=1/2.

Find the orbital period (in years) of an asteroid whose average distance from the sun is 5 au.

Answers

By equating the centripetal force and the gravitational pull, we have the equation

[tex]\frac{mv^2}{r}=\frac{GMm}{r^2}[/tex]
where
G=gravitational constant=6.67408*10^(-11) (m^3 kg^-1 s^-2)
m=mass of object
M=mass of sun=1.9885*10^(30) (kg)
v=tangential velocity of object
r=distance from the sun (m)

On simplification, we get the relation
[tex]v=\sqrt{\frac{GM}{r}}[/tex] (m/s)
Subtituting constants,including
1 au = 1.49597870700*10^(11) m
and given
r=5 au = 7.47989*10^11 m
[tex]v=\sqrt{\frac{GM}{r}}[/tex]
[tex]=\sqrt{\frac{1.32712*10^{20}}{7.47989*10^{11}}}[/tex]
[tex]=\sqrt{1.774250*10^8}[/tex]
[tex]=13320.10[/tex] m/s

Therefore the orbital period is
[tex]T=\frac{2\pi(5*au)}{13320.10}[/tex] s
[tex]=\frac{2\pi(5*au)}{13320.10*365.25*86400}[/tex] years
[tex]=11.181[/tex] years

Final answer:

To find the orbital period of an asteroid at 5 AU, apply Kepler's Third Law, resulting in approximately 11.18 years.

Explanation:

The question asks to find the orbital period of an asteroid with an average distance of 5 astronomical units (AU) from the Sun. We can use Kepler's Third Law of Planetary Motion, which states that the square of the orbital period (T, in years) is proportional to the cube of the average distance from the Sun (a, in astronomical units) for any object orbiting the Sun, expressed as-

[tex]T^2 = a^3[/tex]

Applying the formula for the asteroid in question:

Identify the average distance from the Sun, which is given as 5 AU.Calculate the cube of this distance: 53 = 125.Find the square root to determine the orbital period: √125 ≈ 11.18 years.

Therefore, the orbital period of the asteroid is approximately 11.18 years.

The hypotenuse of the right triangle ABC shown below is 17 feet long. The cosine of angle C is 35. How many feet long is the segment AC?

Answers

Diagram missing.

Question interpreted as:
ABC is a right triangle right angled at A.
BC=17 feet
angle C = 35 degrees.

AC=BCcos(35)=17*0.8192=13.93 feet to the nearest 1/100th of a foot.

Length of the segment AC is 14 feet

What is Trigonometric function?

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given,

Length of the hypotenuse = 17 feet

Angle of C =35 degrees

We know that,

Cos θ = Adjacent side / Hypotenuse

cos 35 = [tex]\frac{x}{17}[/tex]

x= [tex]17(cos 35)[/tex]

x= 13.9 ≅ 14 feet

Hence, the length of the segment AC is 14 feet

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Find an equation for the nth term of the arithmetic sequence.

-17, -12, -7, -2, ...

Answer Choices

A: an = -17 + 5(n + 2)
B: an = -17 + 5(n + 1)
C: an = -17 + 5(n - 1)
D: an = -17 x 5(n - 1)

Answers

The answer is C, which is 17+5(n- 1).

The equation for the nth term of the given arithmetic sequence is an = -17 + 5(n - 1), which matches answer choice C.

The given sequence is an arithmetic sequence, where each term increases by a common difference. To find the equation for the nth term (an), you start with the first term (a1 = -17) and add the common difference (d = 5) multiplied by (n - 1), since the first term is already in place.

A correct formula for an arithmetic sequence is an = a1 + (n - 1)d. Applying this to the given sequence, we have an = -17 + (n - 1)5. Simplifying this expression gives us an = -17 + 5n - 5, which further simplifies to an = 5n - 22. Thus, the correct answer is an = -17 + 5(n - 1), which corresponds to answer choice C.

Consider the function f(x)=8-3x^2. Find the value of f(x) when x=3 and select the correct answer below.

A.-19
B.-10
C.26
D.35

Answers

yoooo the answer is A, -19. hope this helps, have an amazing day :)

f(3) = 8 - 3(3)^2
f(3) = 8 - 3(9)
f(3) = 8 - 27
f(3) = -19

Find the perimeter of a square measuring 5.35cm on a side

Answers

21.4 cm. Since it is a square, and one side is 5.35 cm, you add up all the sides (5.35+5.35+5.35+5.35) and you get 21.4 cm.

The perimeter of a square measuring 5.35 cm on a side is 21.4 cm

Further explanation

To solve the above questions, we need to recall some of the formulas as follows:

Area of Square = (Length of Side)²

Perimeter of Square = 4 × (Length of Side)

Area of Rectangle = Length × Width

Perimeter of Rectangle = 2 × ( Length + Width )

Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Rhombus = 4 × ( Length of Side )

Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )

Let us now tackle the problem !

Given:

Length of Side = 5.35 cm

Unknown:

Perimeter = ?

Solution:

Perimeter of Square = 4 × ( Length of Side )

Perimeter of Square = 4 × ( 5.35 )

Perimeter of Square = 21.4 cm

Learn moreThe perimeter of a polygon : https://brainly.com/question/6361596The perimeter of a rectangle : https://brainly.com/question/7619923The perimeter of a triangle : https://brainly.com/question/2299951

Answer details

Grade: College

Subject: Mathematics

Chapter: Two Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width

0.75 degrees centigrade is this a positive or negative temperature?

Answers

This is a positive temperature.

0.75 degrees centigrade is a positive temperature.

What are Integers?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

Temperature= 0.75 Centigrade

Now, As, the temperature 0.75 lies between whole number 0 and 1.

also, 0.75 is greater than 0.

Any number greater than is a positive number.

Hence, 0.75 is Integer integer.

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2 (x-4)=22
[tex]2(x - 4) = 22[/tex]

Answers

[tex]\bf 2(x-4)=22\implies x-4=\cfrac{22}{2}\implies x-4=11\implies x=11+4 \\\\\\ x=15[/tex]

Answer:

x=15

Step-by-step explanation:

To get the answer I thought, what times 2 equals 22 and i got 11. 15-4=11. so i figured x=15.

Other Questions

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