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3 years ago

Find the circumference of the circle.

Mathematics

1 answer:

SashulF [63]3 years ago

5 0

Answer:

The circumference of the circle in term of pi = 10π inches

The circumference of the circle us 3.14 as pi = 31.4 inches

Step-by-step explanation:

Given

The radius of the circle = r = 5 in

We know that diameter is twice the radius.

so d = 2r = 2(5) = 10 in

Finding the circumference of the circle in terms of pi

Using the formula to find the circumference of the circle

C = dπ

C = 10×π

C = 10π inches

Thus, the circumference of the circle in term of pi = 10π inches

Finding the circumference of the circle using π = 3.14

We know that the formula to find the circumference of the circle

C = dπ

Given

π = 3.14

substituting π = 3.14 to find the circumference of the circle

C = 10×3.14

C = 31.4 inches

Thus, the circumference of the circle = 31.4 inches

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Korri plotted three vertices of a rectangle on a coordinate plain at (-3,3) (1.5,3), (-3, -21/2.) Wha t is the 4rth point of the

otez555 [7]

Answer:

$(x_4,y_4) = (1.5,-2\frac{1}{2})$

Step-by-step explanation:

Given

$(x_1,y_1) = (-3,3)$

$(x_2,y_2) = (1.5,3)$

$(x_3,y_3)=(-3,-2\frac{1}{2})$

Required

Determine the coordinate of the 4th point

From the given parameters, we can see that the rectangle is either horizontal or vertical.

This is because:

$x_1 = x_3 = -3$

and

$y_1 = y_2 = 3$

To calculate the fourth point, we simply make use of:

$x_2 = x_4$ and $y_3 = y_4$

Substitute 1.5 for x2 in $x_2 = x_4$

$1.5= x_4$

$x_4=1.5$

Substitute -2 1/2 for y3 in $y_3= y_4$

$-2\frac{1}{2}= y_4$

$y_4 = -2\frac{1}{2}$

Hence, the 4th point is:

$(x_4,y_4) = (1.5,-2\frac{1}{2})$

8 0

3 years ago

Find an equation of a plane through the point (3, 0, 2) which is orthogonal to the linex=?2+3t,y=2+4t,z=?1?3tin which the coeffi

Alchen [17]

Answer: 3x + 4y - 3z - 3 = 0

Step-by-step explanation:

with the given point (3, 0, 2), the plane is orthogonal to this line so it

has directional ratios (3, 4, -3)

therefore the given equation can be written as;

(x+2)/3 = (y-2)/4 = (z+1)/-3

so equation of the plane passing through point x1, y1 and z1 in the one point form is given as;

a(x-x1) + b(y - y1) + c(z -z1) = 0

abc represent the direction ratio

so we substitute

3(x-3) + 4(y-0) + (-3(z-2)) = 0

3x - 9 + 4y - 0 - 3z + 6 = 0

3x + 4y - 3z - 3 = 0

therefore the equation of the plane through the point is 3x + 4y - 3z - 3 = 0

7 0

4 years ago

Given the relations A: (3,2), (5,3), (6,2), (7,4) which statement is true?

In-s [12.5K]

Answer:

Option 3.

Step-by-step explanation:

The given relation is

A= {(3,2), (5,3), (6,2), (7,4)}

A relation is called a function, if there exist a unique value of y for each value of x.

In relation A, there exist unique output for each input. So, A is a function.

If a relation is defined as R = {(a,b), a∈R,b∈R}, then inverse of R is

R⁻¹ = {(b,a), a∈R,b∈R}

So, inverse of A is defined as

A⁻¹= {(2,3), (3,5), (2,6), (4,7)}

Here, the value of y are 3 and 6 at x=2.

For x=2, there exist more than one output. So, A⁻¹ is not a function.

Therefore, the correct option is 3.

8 0

3 years ago

Answer choices are a. 90 b. 40 c. 10 d. 50 please help

Andrei [34K]

Answer: d. 50

Steps:

1. Find value of x.

5x + 4x = 90

9x = 90

x = 10

2. Use x value to find ∠EDH.

∠EDH = 5x

∠EDH = 5(10)

∠EDH = 50°

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Paul rolls a fair dice 174 times. How many times would Paul expect to roll an odd number?

nekit [7.7K]

Answer:

87 times as the dice has 3even numbers and 3 odd numbers so chance is 50% so half of 174 is 87.....times

Step-by-step explanation: hope this helps

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3 years ago

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