If you know the diameter of a circle,
how do you find the following. Explain
the steps clearly
a. the area of that circle?
b. the circumference of the circle?

Answers

Answer 1

Step-by-step explanation:

a. Area of a circle = πr², where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.

Step 2: substitute radius into the formula.

Area of a circle = π([tex]\frac{1}{2}[/tex]d)²

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

Area of a circle = 3.14([tex]\frac{1}{2}[/tex]d)²

Step 4: substitute d into the formula, then we can solve its area.

b. a. Circumference of a circle = 2πr, where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.

Step 2: substitute radius into the formula.

C = 2π([tex]\frac{1}{2}[/tex]d)

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

C = 2(3.14)([tex]\frac{1}{2}[/tex]d)

Step 4: substitute d into the formula, then we can solve its circumference.


Related Questions

A rocket is launched into the air. the projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t. when will the rocket be 196 feet in the air? after 2.0 seconds after 3.5 seconds after 4.5 seconds after 7.0 seconds

Answers

The rocket will attain a height of 196 feet in 3.5 seconds. Then the correct option is B.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

A rocket is launched into the air.

The projectile motion of the rocket can be modeled using

h(t) = 112t – 16t²

where t is the time since the launch in seconds and h(t) is the height of the rocket at time t.

The time required for the rocket to be 196 feet in the air. Then we have

         112t – 16t² = 196

16t² – 112t + 196 = 0

  4t² – 28t + 49 = 0

On factorization we have

4t² – 28t + 49 = 0

(2t)² – 28t + 7² = 0

          (2t – 7)² = 0

             2t – 7 = 0

                      t = 3.5

Thus, the rocket will attain a height of 196 feet in 3.5 seconds.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

B. after 3.5 seconds

Step-by-step explanation:

i took the test

also:

196 = 112t - 16t²

-16t² + 112t - 196 = 0

4t² - 28t + 49 = 0

(2t - 7)² = 0

2t - 7 = 0

t = 7/2 = 3.5 sec

Can someone please help me? I really need this grade and I’m very lost in all of these questions. Thank you.

Answers

Answer: See below

Step-by-step explanation:

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

4y + 5 + 2 + 7y answer?

Answers

Answer:

11y + 7

Step-by-step explanation:

4y + 5 + 2 + 7y

4y + 7y + 5 + 2 <== combine the like terms

11y + 7

Hope this helps!

Answer:

11y+7

Step-by-step explanation:

4y+5+2+7y

combine like terms

5+2=7

then you have

4y+7+7y

combine the y's

4y+7y=11y

then you got

11y+7  

Which value is a solution to x <

Answers

Answer:

0

Step-by-step explanation:

it less than 4 so u can't pick 4,so it is any number less than 4

Answer:

B) 0

Step-by-step explanation:

The open circle on 4 and the arrow pointing to the left means x < 4

x < 4 means that x is smaller than 4

4 = 4   incorrect as this says 4 is equal to 4

0 < 4   CORRECT as zero is smaller than 4

5 > 4   incorrect as 5 is bigger than 4

4.5 > 4   incorrect as 4.5 is bigger than 4


I need the help with geometry problem

Answers

Answer: sqrt(182)

Step-by-step explanation:

I CANT FIGURE THIS OUT I NEED HELP
Solve and graph the inequality:
[tex]-1/2x + 8\geq 6[/tex]

Answers

Answer:

[tex]x\leq 4[/tex]

Step-by-step explanation:

Given:

[tex]-\frac{1}{2}x+8\ge 6[/tex]

Solve:

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]-\frac{1}{2}x+8-8\ge \:6-8[/tex]

[tex]\mathrm{Simplify}[/tex]

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

[tex]Multiply\:both\:sides\:by\:-1[/tex]

[tex]\left(-\frac{1}{2}x\right)\left(-1\right)\le \left(-2\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{1}{2}x\le \:2[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]

[tex]2\cdot \frac{1}{2}x\le \:2\cdot \:2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x\leq 4[/tex]

[tex]\mathrm{Therefore,}[/tex]

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}[/tex]

~lenvy~

The regular octagon shown is enlarged so that its side are 3 times
as large. What affect does this have on the perimeter?

Answers

Answer:

The perimeter is 2 times greater.

Step-by-step explanation:

A plant starts with 1 branch. Every year,
each branch becomes 3 branches. A
sketch of the plant for the first 3 years is
shown. How many branches will the plant
have in year 10?
TYP
I V
Year 1
Year 2
Year 3
How many branches would the plant
have in year 10 if the plant ad
5 branches the first year? (Each branch
still becomes 3 branches every year.

Answers

Answer:

120

Step-by-step explanation:

we go add 3+1=4 and then 4×3=12 and then 12×10=120

Draw the graph of y = 3x - 1 on the grid use the graph to estimate y when x = 2.5

Answers

Answer:

6.5

Step-by-step explanation:

all you have to do is substitute x with 2.5 in the equation and you can find y.

Solve each system by substitution. Show all work.
4x + y = 0
-x - 2y =7

Answers

4x + y = 0

-x - 2y =7

with - x - 2y = 7

we have x = -2y - 7

we replace x by this value in the first one

4 * (-2y - 7) + y = 0

- 8y - 28 + y = 0

- 7y = 28

y = 28/(-7)

y = - 4

since  4x + y = 0

we have 4x + (-4) = 0

4x = 4

x = 1

(1 ; -4)

A triangle has sides with lengths of 12 kilometers, 12 kilometers, and 17 kilometers. Is it a right triangle?

Answers

Answer:

no it has to be the same length

Step-by-step explanation:

it has to be the same

please help me

Select the reason that best
supports Statement 4 in the
given proof.
A. Transitive Property
B. Multiplication Property of Equality
C. Substitution
D. Given

Answers

Answer: C

Step-by-step explanation:

They are substituting PQ=25 from steps 1 and 3.

The price for a gallon of gas is $4.99 how much is it going to cost for 20 gallons ?

Answers

You would have to put 4.99 times 20 which will cost 99.80 for 20 gallons.

Answer:

if one gallon is 4.99, 20 gallons?

write a ratio to make it easier

gallon : price

1 4.99

20 x

cross multiply,

x = 20 × 4.99

x=99.8

A rectangle is 2/5 (fraction) inches long and 1/3 inches wide.
What is the area of the rectangle?
Enter your answer as a fraction in simplest form by filling in the boxes
in2

__/__ in2

Answers

Answer:

A = 2/15 in^2

Step-by-step explanation:

To find the area of a rectangle, we multiply length times width

A = l*w

A = 2/5 * 1/3

A = 2/15 in^2

Answer:

[tex]\sf area=\dfrac{2}{15} \ in^2[/tex]

Step-by-step explanation:

Area of a rectangle = width x length

Given:

[tex]\sf length=\dfrac25[/tex][tex]\sf width=\dfrac13[/tex]

Substitute these values into the equation are solve:

[tex]\sf \implies area=\dfrac13 \times \dfrac25[/tex]

[tex]\sf \implies area=\dfrac{1 \times 2}{3 \times 5}[/tex]

[tex]\sf \implies area=\dfrac{2}{15} \ in^2[/tex]

PLEASE HELP ASAP!! Also, please explain how to solve. Thank you

Answers

By evaluating the given relation, we conclude that the correct options are A, D, and G.

How to check if the points are on the graph?

We have the relation:

k = ∛(V/7)

Such that this relation gives us pairs of the form (V, k).

So, to check if the points belong to the graph of the relation, we need to evaluate the points on the given relation and see if the relation is true.

A) (0, 0) gives:

Evaluating in V = 0

k = ∛(0/7) = 0

So this point belongs.

B) (1, 1) gives:

k= ∛(1/7) = 0.52

So we have the point (1, 0.52) and the point  (1, 1)  then does not belong to the graph.

We just need to do that for all the points, evaluate V and see if k gives the same value as in the point.

With this method, we will see that the correct options are:

D) (7, 1)

k= ∛(7/7) = 1

G) (56, 2)

k= ∛(56/7)  =   ∛(8) = 2

If you want to learn more about evaluations, you can read:

https://brainly.com/question/4344214

please help me with word problems

Answers

Answer: c=4

Step-by-step explanation:

70-8.76c=34.96

-70             -70

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

-8.76c=-35.04

-35.04/-8.76 = 4

c=4


4. 10% of 210 is?
0.21
2100
2.10
21

PLEASE HELP!! 15 points asap!

Answers

Answer:

10% of 210 is 21

Step-by-step explanation:

The 1 in 10% is much help. Move the decimal point one place to the right.

I know this is not much, but I hope this helps :)

Which of the following choices simplifies -(-x + 1)?
-x − 1
x − 1
-x + 1
x + 1

Answers

Answer:

x-1 is ur answer :)

Step-by-step explanation:

In a math class with 28 students, a test was given the same day that an assignment was due. There were 18 students who passed the test and 19 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student passed the test given that they completed the homework

Answers

Answer:

2/9

Step-by-step explanation:

What is the end behavior of the function f of x equals 3 times the cube root of x?

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

Answers

The end behavior of [tex]f\left(x\right)\ =3\sqrt[3]{x}[/tex] is how its value changes as x changes

The end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:[/tex]

How to determine the end behavior?

The function is given as:

[tex]f\left(x\right)\ =3\sqrt[3]{x}[/tex]

The above function is a cube root function.

A cube root function has the following properties:

As x increases, the function values increasesAs x decreases, the function values decreases

This means that the end behavior of the function is:

[tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:[/tex]

Read more about function end behaviors at:

https://brainly.com/question/1365136

Answer:

The answer is A

Step-by-step explanation:

Had taken the test

The expression 1/2 bh gives the area of a triangle where b is the base of the triangle and h is the height of the triangle. What is the area of a triangle with a base of 7 cm and a height of 4 cm?

Answers

Answer:

The area of a triangle is 14 cm square.

Step-by-step explanation:

Given : The expression  gives the area of a triangle where b is the base of the triangle and h is the height of the triangle.

To find : What is the area of a triangle with a base of 7 cm and a height of 4 cm?

Solution :

The area of triangle is  

Where,b is the base b=7 cm

and h is the height h=4 cm.

Substitute in the expression,

Therefore, The area of a triangle is 14 cm square.

Fill in the table using this function rule y=-10x+1

Answers

Answer:

11, 1, -9, -49

Step-by-step explanation:

(Fill in the x value for each one then solve)

Function rule: y = -10x + 1


1. x = -1

fill in: y = (-10) -1 + 1

Solve: 11

Table way: x,y = -1,11

2. x = 0

fill in: y = (-10) 0 + 1

Solve: 1

Table way: x,y = 0,1

3. x = 1

fill in: y = (-10) 1 + 1

Solve: -9

Table way:  x,y = 1,-9

4. x = 5

fill in: y = (-10) 5 + 1

Solve: -49

Table way: x,y = 5,-49

*prove de/ae = bd/ce*
triangle proportionality.
i am able to find that the triangles are similar but don’t know how to prove the parallel sides are proportional to the side segments

Answers

Explanation:

You can use the definition of similarity to show that corresponding sides are proportional. You cannot prove anything about the proportionality of non-corresponding sides.

Statement . . . . Reason

1. BD║CE . . . . given

2. ∠A≅∠A . . . . reflexive property of congruence

3. ∠ABD≅∠ACE . . . . corresponding angles theorem

4. ΔABD ~ ΔACE . . . . AA similarity postulate

5. BD/CE = AD/AE . . . . definition of similarity

_____

Additional comment

Length DE is related to BC in the same way that AD is related to AB. There is no way to prove the ratio you show in your problem statement. You can show that ...

  DE/AE = (CE -BD)/CE = 1 -(BD/CE) . . . . the difference is proportional to the corresponding longer side

System of Equations
Explain steps

Answers

Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation. ...

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

Step-by-step explanation:

These are all of the steps

what are the coordinates of point G

Answers

Calculate distance of G from x and y axis(1 box=1unit)

x axis=8y axis=5

So

the coordinate is

(x,y)=(5,8)

Answer:

(5,8)

Step-by-step explanation:

x=5

y=8

(x,y)= (5,8)

Help me plss

4b(9b^5+7b^4)

Answers

Step-by-step explanation:

Step by Step Solution

STEP1:Equation at the end of step 1

STEP2:

22b5 Simplify ———— 9b

Dividing exponential expressions :

 2.1    b5 divided by b1 = b(5 - 1) = b4

Final result :

4b4 ——— 9

Phil bought a new calculator. It cost $12.40. The tax rate is 7.25%. Calculate the sales tax.

Answers

Answer:

$0.90

Step-by-step explanation:

0.0725(12.40) = 0.899
0.899 = 0.90
Hope this helps :)

A stack of books is 56 inches high. How high is it in feet and inches?

Answers

1 foot = 12 inches


56 inches / 12 inches = 4.66 feet = 4 feet and 8 inches

Answer:

4 feet and 8 inches

Step-by-step explanation:

To convert a high number of inches to feet you divide it by 12 since 12 inches makes 1 foot.

So 56÷12 = 4 reminder 8

The remainder we keep it as inches

So our answer is 4 feet and 8 inches.

Whitney flips a coin and gets heads 45% of
the time.
She gets heads 54 times.
How many times did she flip the coin?

Answers

Answer: 120

54 times=45% or .45

To get 5% divide both numbers by 9.
6=5%
Now multiply this by 20 And you get
120=100%



how would you solve this

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's write the equation in standard form ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + {y}^{2} - 2y - 15 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x ){ }^{2} + {y}^{2} - 2y = 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x ){ }^{2} + {y}^{2} - 2y + 1 = 15 + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x ){ }^{2} +( {y}^{} - 1 ) {}^{2} = 16[/tex]

Now, it's the required form of circle ~

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