All categories

3 years ago

Which is the circumference of the circle

Mathematics

1 answer:

geniusboy [140]3 years ago

6 0

Answer:

The answer is D, 47.1.

Step-by-step explanation:

Circumference is the diameter multiplied by pi, 15 * 3.14 is 47.1, so your current choice is correct.

You might be interested in

Rewrite 2/5 + 5/12 with a common denominator.

RoseWind [281]

Answer:60 is the common denominator

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is the equation of a line with a slope of -2 that passes through the point (-2,12)?

slavikrds [6]

Answer:

y=-2x + 8 which is the required equation

Which is option C

Step-by-step explanation:

Given:

Slope = m = -2

Given points are ( -2,12)

Which is

x = -2 and y =12

TO find:

Equation of line passing through these points = ?

Solution:

The point slope form of a line is

y = mx + c

Here we don't know the value of c

To find it

Putting y = 12 , x= -2 and y = -2 in the given equation

y = mx + c

Putting values it becomes

12 = (-2)*(-2) + c

12 = 4 + c

Subtracting 4 from both sides

12-4 = 4 -4 + c

8 = c

Now we have

m = -2 and c= 8

So equation of a line is given by

y = mx + c

Putting value of m and c

y = -2*x + 8

y=-2x + 8 which is the required equation

7 0

2 years ago

Read 2 more answers

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second

Molodets [167]

Given:

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.

To find:

The equation for the given situation if the sum of the numbers is 77.

Solution:

a. Let the first number in the set is x.

The second is 3 more than the first. So, the second number is $(x+3)$ .

The 3rd number is a square of the second. So, the third number is $(x+3)^2$ .

Therefore, the first, second and third numbers are $x,(x+3),(x+3)^2$ respectively.

b. The sum of the numbers is 77.

First number + Second number + Third number = 77

c. So, the equation in terms of x is:

$x+(x+3)+(x+3)^2=77$

Therefore, the required equation is $x+(x+3)+(x+3)^2=77$ .

d. On simplification, we get

$x+x+3+x^2+6x+9=77$ $[\because (a+b)^2=a^2+2ab+b^2]$

$x^2+(6x+x+x)+(3+9)=77$

$x^2+8x+12=77$

Subtract 77 from both sides.

$x^2+8x+12-77=77-77$

$x^2+8x-65=0$

Therefore, the simplified form of the required equation is $x^2+8x-65=0$ .

6 0

2 years ago

Item 6 A bowl contains blueberries and strawberries. There are a total of 20 berries in the bowl. The ratio of blueberries to st

Fiesta28 [93]

Answer:

there are 5 strawberries

Step-by-step explanation:

4 x 5 =20 so that is 20 blue berries

and there are 4 blue berries for every one strawberry

and there are 5 groups of 4 blue berries which equals 5 strawberries

5 0

3 years ago

Help it’s urgent please

Anon25 [30]

Answer:

$\frac{5 {x}^{2} + 20xy + 20 {y}^{2} }{x ^{2} - xy - {6y}^{2} }$

To simplify first factorize both the numerator and the denominator

For the numerator

5x² + 20xy + 20y²

Factor 5 out

5 ( x² + 4xy + 4y²)

Using a² + 2ab + b² = ( a + b)²

The numerator is

5( x + 2y)²

For the denominator

x² - xy - 6y²

Rewrite -xy as a difference

x² + 2xy - 3xy - 6y²

Factorize

We have the denominator as

( x + 2y)( x - 3y)

So we now have

Simplify

We have the final answer as

Hope this helps you

8 0

3 years ago