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3 years ago

17. What's the circumference of a circle with a diameter of 30 centimeters?

Mathematics

2 answers:

FrozenT [24]3 years ago

4 0

30 multiplied by 3.14

Nataly [62]3 years ago

3 0

Circumference of circle=2πr

Where r=radius

2r=d

d=diameter

So,2πr=πd

Note,π=227

In this statement,c=circumference

→c=πd

→c=π(30)

→c=π30=227(30)

→c=6607=94.28...

Circumference is 94.28...cms

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A line passes through the points (2,4) and (5,6) .

Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points $(x_1,y_1)$ and $(x_2, y_2)$

then the general form $y -y_1=m(x-x_1)$ for linear equations where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

First calculate slope for the points (2, 4) and (5, 6);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}$

then, by point slope intercept form;

$y-4=\frac{2}{3}(x-2)$

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}$

then, by point slope intercept form;

$y-6=\frac{2}{3}(x-5)$

Yes, the only equation of line from the given options which describes the given line are;

$y-4=\frac{2}{3}(x-2)$ and $y-6=\frac{2}{3}(x-5)$

8 0

3 years ago

A point $(x, y)$ with integer coordinates is randomly selected such that $0 \le x \le 8$ and $0 \le y \le 4$. what is the probab

ahrayia [7]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

A point (x, y) with integer coordinates is randomly selected such that $0 \le x \le 8 \:and\: $0 \le y \le 4$.$

The possible pairs of (x,y) are:

(0,0),(0,1),(0,2),(0,3),(0,4)

(1,0),(1,1),(1,2),(1,3),(1,4)

(2,0),(2,1),(2,2),(2,3),(2,4)

(3,0),(3,1),(3,2),(3,3),(3,4)

(4,0),(4,1),(4,2),(4,3),(4,4)

(5,0),(5,1),(5,2),(5,3),(5,4)

(6,0),(6,1),(6,2),(6,3),(6,4)

(7,0),(7,1),(7,2),(7,3),(7,4)

(8,0),(8,1),(8,2),(8,3),(8,4)

The Total Possible Outcomes n(S)= 45

The pair (x, y) that satisfies the given condition (say event A: $x + y \le 4$ ) are:

$(0,0),(0,1),(0,2),(0,3),(0,4)\\(1,0),(1,1),(1,2),(1,3)\\(2,0),(2,1),(2,2)\\(3,0),(3,1)\\(4,0)$

n(A)=15

Therefore:

$P(A)=\frac{n(A)}{n(S)} =\frac{15}{45} =\frac{1}{3}$

5 0

3 years ago

Analyze the diagram below and complete the instructions that follow.

Alona [7]

A

Durhsvsn its a I try

6 0

3 years ago

A computer has the shape of a rectangular solid. Find the volume of the computer, with

serious [3.7K]

Answer:

V = 127.5in^3

Step-by-step explanation:

The volume of a rectangular prism is:

Volume = length x width x height

Therefore, in this equation it would look like this:

Volume = (5) x (5) x (5.1)

Volume = 127.5in^3

The volume of the computer is 127.5in^3.

I hope this helps!!

- Kay :)

5 0

3 years ago

Which of the following is a solution to the equation y = 3x - 1 ?

Korvikt [17]

One way of determining the answer is by substituting the values to the equation. It is done as follows:

A. (4,1)
y = 3x - 1
1 = 3(4) - 1 = 11 -------> not equal

B. (2,5)
y = 3x - 1
5 = 3(2) - 1 = 5 --------> equal

C. (4,3)
y = 3x - 1
3 = 3(4) -1 --------------> not equal

D. (0, -3)
y = 3x - 1
-3 = 3(0) -1 = -1 ---------> not equal

8 0

3 years ago