The area of a circle is 60.12cm find the length of the radius rounded to 2 dp.

Answers

Answer 1

Answer:

Before you write the answer to your question, make sure the question is asking for the actual value of pi or 3.14.

If the question was asking for the question to be completed with the ACTUAL VALUE of pi, then your answer is ----> 4.37

If the question was asking for the question to be completed with the rounded of pi (3.14), then your answer is ----> 4.38

It's a subtle difference, but remember, there is no such thing as close in math, it's either right or wrong.

Step-by-step explanation:

Given: Circle's Area, 60.12

As the value of pi was not directly stated, I will divide the answer into 2 portions, portion one with the answer with the actual infinite value of pi, and one where I will describe how to do it with 3.14 as pi.

Explanation with 3.14:

First thing first, know the formula for calculating the area of a circle:

[tex]A = \pi r^2[/tex]

[tex]A[/tex] stands for Area, and [tex]r[/tex] stands for Radius

Now, plug in the given values:

[tex]60.12 = \pi r^2[/tex]

Next, replace 3.14 for pi:

[tex]60.12 = (3.14)r^2[/tex]

Then, divide both sides by 3.14 ,which gives us:

[tex]19.15 = r^2[/tex]

Please note: 19.15 is rounded

Anyway, to isolate [tex]r[/tex], we take the square root of both sides:

[tex]\sqrt{19.15} = \sqrt{x^2}[/tex]

The square root and square on the right side of the equation cancel out, and we are left with:

[tex]4.38 = r[/tex]

Please note that 4.38 was rounded


Related Questions

A box of donuts has 12
total. One-fourth of
the donuts have sprinkles.
Of the remaining donuts,
one-third have cherry filling.
The rest are plain. How
many plain donuts are in
the box?

Answers

Answer:

6 donuts are left in the box

Step-by-step explanation:

12 divided by 4 is 3. take those three out of the 12. you are left with nine. 9 divided by 3 is 3. subtract three from the nine. you are left with 6.

90 POINTS!! PLEASE HELP, IF YOU GIVE CORRECT ANSWER ILL GIVE YOU BRAINLIEST!!

Answers

Answer:

B)  2.19 %

Step-by-step explanation:

The rule of 70 is used to estimate the time (in years) it takes for an investment to double.

Rule of 70 Formula

[tex]\textsf{Number of Years to Double}=\sf \dfrac{70}{\textsf{Annual Growth Rate}}[/tex]

Given:

Number of Years to Double = 32

Substituting this into the formula and solving

[tex]\implies \sf 32=\sf \dfrac{70}{\textsf{Annual Growth Rate}}[/tex]

[tex]\implies \textsf{Annual Growth Rate}=\sf \dfrac{70}{32}[/tex]

[tex]\implies \textsf{Annual Growth Rate}=\sf 2.1875[/tex]

[tex]\implies \textsf{Annual Growth Rate}=\sf 2.19 \% \: (nearest\:hundredth)[/tex]

Answer:

I think it is B

Step-by-step explanation:

hope it will help you

Is this employee correct? please help and explain your thinking.

Answers

Answer: yes it is

Step-by-step explanation:

if mJK=(7x-39) and mML=87, find x

Answers

Answer:

https://brainly.com/question/9016553

Step-by-step explanation:

You can see the answers from the exact same question. In the link I pasted.

Not my answer but hope this helps

#94 will give brainliest to best answer!​

Answers

Answer:

5/8

Step-by-step explanation:

There are 8 sections, and 4 sections that are 1, and 1 pink section. So adding these up, we get 5/8.

Hope this helped! :)

2 of 8
=
Given that y = 10 cm and 0 = 19°, work out x rounded to 1 DP.
у
х
oo

Answers

Answer:

x = 3.255 cm

Step-by-step explanation:

Given:

⇒ y = 10cm

⇒ θ = 19

To find:

⇒ Value of "n"

Solution

⇒ By Pythagoras theorem

⇒ Δ Sin θ = n/y

⇒ sin 19° = n/10

⇒ 0.3255 = n/10

⇒ n = 0.3255 × 10

⇒ n = 3.255 cm

Hence, the answer is = n = 3.255 cm.

I really need help!! Imagine you bought a car that is valued at $20,000 but depreciates at a rate of 15% per year. How much is the car worth after 5 years? What is your classmate’s error, what is the correct equation, and what is the value of the car after 5 years?

thanks

Answers

Answer:

[tex]20000 \times 0.15 \times 5 = 15000 \\ 20000+15000=35000

Step-by-step explanation:

20000 times (0.15 is rate) times years (5)

Answer you get is 15000 , then you have to take 20000+15000=35000

A 4-cup bottle of water costs $3.28. What is the price per pint?

Answers

hey!

Given ,

Price of 4 cups = $3.28

Price of 1 cup = $3.28/4 = $0.82

Answer:

Step-by-step explanation:

4 cups = 1 pint

$3.28/4 = .82 per pint

please i will give brainliest if right

Answers

Answer:

s = 156.25 square meters

Step-by-step explanation:

s = 2lw + 2lh + 2wh

s = 2(5.5)(3) + 2(3)(7.25) + 2(5.5)(7.25)

s = 33 + 43.5 + 79.75

s = 156.25 square meters

Answer:

We know,

[tex] \quad [/tex][tex]{\boxed{ \rm{Surface \: Area_{ \: (rectangular \: prism)} = 2(lb + bh + hl)}}}[/tex]

where,

Height (h) = 7.25mBreadth (b) = 3mLength (l) = 5.5m

[tex] \: [/tex]

[tex] {\longrightarrow { 2 ( 5.5 \times 3 + 3 \times 7.25 + 7.25 \times 5.5 ) }} [/tex]

[tex] \longrightarrow [/tex] 2 ( 16.5 + 21.75 + 39.875 )

[tex] \longrightarrow [/tex] 2 ( 78.125 )

[tex] \longrightarrow [/tex] 156.25

Thus, The Surface Area of rectangular prism is 156.25cm².

[tex] \rule{200pt}{2pt} [/tex]

Additional Information:

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{ \sf{\pmb{ \blue{More \: Formula}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

Write an explicit formula for an, the nth term of the sequence 13, 20, 27, ....
Answer: an
Submit Answer

Answers

Answer:

See below ~

Step-by-step explanation:

Finding the common difference :

20 - 137

Formula :

aₙ = aₙ₋₁ + 7

Answer:

[tex]\large \boxed{\sf 7n + 6}[/tex]

Explanation:

Sequence: 13, 20, 27,...

Find common difference: second term - first term = 20 - 13 = 7

As it is an explicit arithmetic term:

⇒ a + (n - 1)d             (a is the first term, d is common difference)

⇒ 13 + (n -1)(7)

⇒ 7n - 7 + 13

⇒ 7n + 6

If f(x) = x+10, find f(7)

Answers

[tex]f(x)=x+10\\\\f(7)=(7)+10\\\\f(7)=17[/tex]

the answer is 17.

Answer:

The answer is 17, x±10 =10+7= 17

What is the radius of a sphere with a volume of 32398cm3 cm
to the nearest tenth of a centimeter?

Answers

Answer:

The answer is 19.8cm to the nearest tenth

A cylinder has a circumference of 16pi inches and a height of 20 inches. what is the surface area of a cylinder in square inches?

Answers

Answer:

1407.43

Step-by-step explanation:

The eqaution for surface area of a cylinder is 2πr+2π[tex]r^{2}[/tex]'

but you already got the circumference so you work backwards

16pi/pi=16

16/2=8

r=8

h=20

So you plug it into the eqaution

2π8*20+2π8^2=1407.43

If f(x)=X²-3, what is the value of f(-3)?

Answers

__________________________________________________________

Hello! In this question, we are trying to solve the expression with a given value.

__________________________________________________________

Explanation:

In this question, we were given our f(x) equation: f(x) = x² - 3

We were also given the value of our variable "x": -3

To solve the expression, we would plug in our "x" value, -3, into the "x" variables in our expression and solve.

Solve:

f(x) = x² - 3

f(-3) = (-3)² - 3

= 9 - 3

= 6

Therefore, the value of f(-3) is 6.

__________________________________________________________

Answer:

f(-3) = 6

__________________________________________________________

To solve this problem, you will substitute an existing value into a function in order to find the y-coordinate at that x-coordinate.

Substitute

Given the function f(x) = x² - 3, evaluate the function at f(-3) by substituting in x = -3:

[tex]f(-3) = -3^2-3[/tex]

Use Order of Operations

Use BPEMDAS, which stands for:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First, evaluate -3².

[tex]-3\times-3=9[/tex]

Then, evaluate the rest of the expression by subtracting 3 from 9:

[tex]9 - 3 = \boxed{6}[/tex]

The final answer is f(-3) = 6.

Find the circumference of a circle whose radius is 16. Leave your answer in terms of π.

Answers

Answer:

32π

Step-by-step explanation:

The equation for the circumference of a circle is as follows:

C = 2 π r

Since r = 16:

C = 2 π (16) = 32π

Using the equation, y=5x²−17x −12, determine the roots.
A) (-4, 0) and (0.6, 0)
b) (-4, 0) and (-0.6, 0)
c) (4, 0) and (-0.6, 0)
d) (4, 0) and (0.6, 0)

Answers

Answer:

c

Step-by-step explanation:

y = 5x² - 17x - 12

to find the roots let y = 0 , that is

5x² - 17x - 12 = 0

Factorising the quadratic

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 5 × - 12 = - 60 and sum = - 17

the factors are - 20 and + 3

use these factors to split the x- term

5x² - 20x + 3x - 12 = 0 ( factor first/second and third/fourth terms )

5x(x - 4) + 3(x - 4) = 0 ← factor out (x - 4) from each term

(x - 4)(5x + 3) = 0

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - [tex]\frac{3}{5}[/tex] = - 0.6

roots are (4, 0 ) and (- 0.6, 0 )

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

268.08 cm

Step-by-step explanation:

we all know that the FORMULA for a sphere is v=4/3 x π x r^3, so we just SUBSTITUTE.

V=4/3 x π x 4^3

which leaves us with 268.08 cm ^2 maybe??

(hope this helps)

Your friend is planting a circular garden full of different color pansies. Your friend plans to plant five different colors of equal amounts. The garden has a
radius of 20 feet. How many square feet of space will each color cover?

Answers

The area that each color would occupy in the circular garden is: 251.32 sq. ft.

What is the Area of a Circle?

Area of a circle = πr², where the radius of the circle is represented as r.

Area of the circular garden = πr² = π(20²)

Area of the circular garden = 1,256.6 sq. ft.

Area of space each color would cover = 1,256.6/5 = 251.32 sq. ft.

Learn more about area of a circle on:

https://brainly.com/question/12269818

#SPJ1

What is the circumference of the given circle in terms of pi.

Answers

Circumference is 574.534 ft.

This is based on formula: C = 2πR

Please like if this helps :)

choose the polynomial that is written in standard form

Answers

Answer: I don't know

Step-by-step explanation:

There are no choices. The question stated choose the polynomial which means it should have choices.

Correct me if I'm wrong though. Hope you won't be offended.

Answer:

Please read explanation... it always helps... trust me...

Step-by-step explanation:

alrighty sooo....

when a polynomial is written in standard form that means that the exponents are in order from greatest to least.... (i hope that isn't confusing....)

here is an example:

x^6  +  x^5  + x^2 + 23     --> this polynomial is in standard form because the exponents are in order from least to greatest..... 6 then 5 then 2 then 1

(remember that a number like 23 have an invisible 1 as the exponent....

(btw, this symbol ^ means "to the power of")

I really hope this helps!!!!

Mateo is baking a ham. He must make sure the ham has a minimum internal temperature of 145 degrees so that it is safe to eat. Using a thermometer, he takes the temperature of the ham in four random places. The minimum temperature in the sample is 150 degrees.

Identify the population and the sample. (4 points)
Population: four random places in the ham; Sample: all the ham meat
Population: all the ham meat; Sample: four random places in the ham
Population: all the ham meat; Sample: 150 degrees
Population: 150 degrees; Sample: 145 degrees
Population: 145 degrees; Sample: 150 degrees

Answers

Answer: Population: all the ham meat; Sample: four random places in the ham

Step-by-step explanation: I just took the test and got it right

NEED ANSWER PLEASE ASAP
A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 3cm. If a box contains 30 pieces of candy, how much chocolate does the box contain? Use 3.14 for pie, and do not round your answer.

Answers

Step-by-step explanation:

282.8cm³

Since the volume of each chocolate candy is in the shape of a sphere, it's volume is the volume of a sphere.

I need help pls I need it under 25min pls​

Answers

Answer:

(a)  P(3, -8), Q(1, -12)

(b)

(i)  x = -1, 4

(ii)  x = 1, 2

(c) Drawn Below, refer to the red line. Equation: x = 1.5

Explanation:

Given Equation's:

y = 2x² -6x - 8y = 2x - 14

Part A

Coordinates of points: P(3, -8), Q(1, -12)

Part B

From the graph identify:

(i) 2x² - 6x - 8 = 0       || Solution: x = -1, 4

(ii) 2x² - 6x = -4          || Solution: x = 1, 2

Part C

Symmetry of a parabola is at the middle, dividing the curve in equal parts.

Equation: x = 1.5

the functions fx and gx are shown on the graph. using fx what us the equation that represents gx

Answers

The equation for the function g(x) = log₃(x+4) after applying the transformation x → (x+4).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have equation of the graph:

[tex]\rm f(x) = log_3x[/tex]

Apply transformation in the parent function:

Replace x → (x+4)

The parent function will shift 4 units to the left.

And function becomes:

[tex]\rm g(x) = log_3(x+4)[/tex]

Thus, the equation for the function g(x) = log₃(x+4) after applying the transformation x → (x+4).

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

how to convince your parents to go shopping for clothes?​

Answers

Answer:

Be Nice & Have Manners.

Step-by-step explanation:

Try to be nice and have manners. Being thankful for the clothes you have is always the top priority. Let them browse different kinds of clothes online or in person, and see if there are clothes that you and your parents agree on that you can wear.

fine the value please, giving BRAINLIEST ​

Answers

Answer: 15a√x

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

classify the system as consistent independent inconsistent or coincident { 3x - 6y = -12 x - 2y = -8

Answers

Find Determinant value

[tex]\\ \rm\Rrightarrow \left|\begin{array}{cc}\rm 3&\rm -6\\ \rm 1&\rm -2\end{array}\right|[/tex]

[tex]\\ \rm\Rrightarrow -6+6[/tex]

[tex]\\ \rm\Rrightarrow 0[/tex]

System is inconsistent

it’s timed please help :)

Answers

C because the line is straight through the middle and equal in both sides


Fill in the blanks so that the standard and factored forms match

-x^4-5x^3+__ x^2 +10x=(x+__)(2x-x^3)

Answers

Answer:

-x^4-5x^3+2x²+ 10x = (x+5)(2x-x³)

Step by Step explanation

Naming the coefficient of x² as "a" and the independent temine of the first parenthesis as "b", we got:

-x^4-5x^3+ ax^2 +10x=(x+b)(2x-x^3)

- x⁴-5x^3+ ax^2 +10x = 2x²- x⁴+2bx-bx³

-5x^3+ ax^2 +10x = -bx³+2x²+2bx

( Matching the exponents)

For x: 2b= 10; b=10/2. 

            b=5

For x²: a=2

For x³: -b=-5

             b=5

I need help to find the blank spaces for the chart

Answers

The modes are 8 and 9 in the data.
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