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3 years ago

Suppose a circle has a circumference 16pi units. what is its radius

Mathematics

2 answers:

Alexxandr [17]3 years ago

7 0

<h2>Answer: the radius</h2><h2>8</h2>

Step-by-step explanation:

Amiraneli [1.4K]3 years ago

3 0

Answer:

radius=8

Step-by-step explanation:

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What is y in the first line if the line passing though (-1,y) and (1,0) perpendicular to the line passing (8,4) and (-1,1) ?

malfutka [58]

Answer:

$6$ .

Step-by-step explanation:

A line that goes through $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ where $x_{0} \ne x_{1}$ would have a slope of $m = (x_{1} - x_{0}) / (y_{1} - y_{0})$ .

The slope of the line that goes through $(8,\, 4)$ and $(-1,\, 1)$ would thus be:

$\begin{aligned}m_{2} &= \frac{1 - 4}{(-1) - 8} \\ &= \frac{(-3)}{(-9)} \\ &= \frac{1}{3}\end{aligned}$ .

Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is $(-1)$ .

Thus, if $m_{1}$ and $m_{2}$ denote the slope of the first and second lines in this question, $m_{1}\, m_{2} = (-1)$ since the two lines are perpendicular to one another. Since $m_{2} = (1/3)$ , the slope of the first line would be:

$\begin{aligned} m_{1} &= \frac{(-1)}{m_{2}} \\ &= \frac{(-1)}{(1/3)} \\ &= (-3)\end{aligned}$ .

Given that the first line goes through the point $(1,\, 0)$ , the point-slope equation of that line would be:

$(y - 0) = (-3)\, (x - 1)$ .

$y = -3\, x + 3$ .

Substitute in $x = (-1)$ to find the $y$ -coordinate of the point in question:

$y = -3\times (-1) + 3 = 6$ .

4 0

3 years ago

Can someone please help me with math

Molodets [167]

1 meter is 3.3 ft.....so 70 meters is (70 * 3.3) = 231 ft.....so ft per second is 231 ft per second

at 2 seconds.....231 * 2 = 462 ft

4 0

4 years ago

the population of a type of local dragonfly can be found using an infinite geometric series where a1= 65 and the common ratio is

LiRa [457]

Sum of infinite series of a GS is a1 / (1-r)

so here it is 65 / (1 - 1/6) = 65 / 5/6 = 65*6 / 5 = 78 answer

7 0

4 years ago

Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos

umka2103 [35]

Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. She knows that the total cost to download 3 videos was $12. Her work to find the equation is shown below. Joylin’s Work Step 1 x=3/12=0.25 Step 2 y=0.25x Where did Joylin make her first error? Joylin divided 3 and 12 instead of multiplying the two numbers. Joylin computed the decimal equivalent of 3/12 incorrectly. Joylin used 0.25 as the coefficient of x instead of a product of x and y. Joylin switched the numerator and the denominator when she found k.

Solution:

Joylin switched the numerator and the denominator when she found k.

Joylin should divide 12/3 and not 3/12. As, y is total cost and x is number of videos.

For x=1, number of videos=1, y,or total cost=1*4=4,

For x=2,y=2*4=8

For x=3, y=3*4=12

So, the constant, k=4

So, Answer: Option (D)

Joylin switched the numerator and the denominator when she found k.

4 0

3 years ago

Read 2 more answers

7x + 3 (3x+6) = 194 what is the answer

balandron [24]

Answer:

x = 11

Step-by-step explanation:

7x + 3(3x + 6) = 194

<em>open the parenthesis</em>

7x + 3 * 3x + 3 * 6 = 194

7x + 9x + 18 = 194

<em>subtract 18 from both sides of the equation</em>

7x + 9x + 18 - 18 = 194 - 18

<em>combine like terms</em>

7x + 9x = 194 - 18

16x = 176

<em>divide both sides of the equation by 16</em>

16x/16 = 176/16

x = 176/16

x = 11

4 0

3 years ago