Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A circle has a circumference of 7,850 units.
What is the radius of the circle? Use 3.14 for
pi and enter your answer as a decimal.
units

A circle has a circumference of $7$ , $850$ units. $\newline$ What is the radius of the circle? Use $3$ . $14$ for $\pi$ and enter your answer as a decimal. $\newline$ $\square$ units

View step-by-step help

View step-by-step help

Pythagorean Theorem and its converse

Full solution

Q. A circle has a circumference of

7

,

850

units.

\newline

What is the radius of the circle? Use

3

.

14

for

\pi

and enter your answer as a decimal.

\newline

\square

units

Circle Circumference Formula: The formula for the circumference of a circle is $C = 2 \times \pi \times r$ , where $C$ is the circumference and $r$ is the radius.
Given Values and Formula: Given $C = 7,850$ units and $\pi = 3.14$ , we can solve for $r$ by rearranging the formula: $r = \frac{C}{2 \cdot \pi}.$
Plug in Values: Plug in the values: $r = \frac{7,850}{2 \times 3.14}.$
Calculate Radius: Calculate the radius: $r = \frac{7,850}{6.28}$ .
Division Calculation: Perform the division: $r \approx 1,250$ .

More problems from Pythagorean Theorem and its converse

Question

Marco's class is painting a mural on the side of their school. The mural covers a

3 \frac{1}{2} \mathrm{~m}

high, rectangular wall. It has an area of

28 \mathrm{~m}^{2}

\newline

What is the length of the mural?

\newline

Posted 4 months ago

Question

A cup of hot coffee has been left to cool in a room with an ambient temperature of

21^{\circ} \mathrm{C}

\newline

The relationship between the elapsed time,

m

, in minutes, since the coffee was left to cool, and the temperature of the coffee,

T

{ }^{\circ} \mathrm{C}

, is modeled by the following function.

\newline

T(m)=21+74 \cdot 10^{-0.03 m}

\newline

What will the temperature of the coffee be after

10

\newline

Round your answer, if necessary, to the nearest hundredth.

\newline

{ }^{\circ} C

Posted 4 months ago

Question

Takumi plants a tree in his backyard and studies how the number of branches grows over time.

\newline

He predicts that the relationship between

N

, the number of branches on the tree, and

t

, the elapsed time, in years, since the tree was planted can be modeled by the following equation.

\newline

N=5 \cdot 10^{0.3 t}

\newline

According to Takumi's model, in how many years will the tree have

100

\newline

Give an exact answer expressed as a base

-10

\newline

Posted 4 months ago

Question

g(x)=2^{x}

\newline

Can we use the mean value theorem to say the equation

g^{\prime}(x)=16

has a solution where

3<x<5

\newline

1

\newline

(A) No, since the function is not differentiable on that interval.

\newline

(B) No, since the average rate of change of

g

over the interval

3 \leq x \leq 5

1 \overline{6}

\newline

(C) Yes, both conditions for using the mean value theorem have been met.

Posted 3 months ago

Question

\frac{d}{d x}\left(\frac{x^{2}-x+5}{4 x-1}\right)=

Posted 3 months ago

Question

\frac{d}{d x}\left(\frac{2 x^{2}+x-3}{2 x+7}\right)=

Posted 3 months ago

Question

\frac{d}{d x}\left(\frac{3 x^{2}-1}{x-2}\right)=

Posted 3 months ago

Question

\frac{d y}{d t}=2 t+3 \text { and } y(1)=6

\newline

t

y=0

\newline

Choose all answers that apply:

\newline

t=-1

\newline

t=-3

\newline

t=0

\newline

t=-4

\newline

t=1

\newline

t=-2

Posted 3 months ago

Question

\frac{d}{d x}\left(x^{\frac{3}{4}}\right)=

Posted 3 months ago

Question

y=x^{13}

\newline

\frac{d y}{d x}=

Posted 3 months ago