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3 years ago

True or False: An equation to find Circumference is C = πr2

Mathematics

2 answers:

SashulF [63]3 years ago

6 0

Answer:

False

Step-by-step explanation:

It's actually C=πd d is diameter or C=πr^2

wolverine [178]3 years ago

4 0

Answer:

True

Step-by-step explanation: Calculate circumference from area

We are given the area, and by substitution we know that 13π = πr2. We divide out the π and are left with 13 = r2. We take the square root of r to find that r = √13. We find the circumference of the circle with the formula C = 2πr.

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(20 points)Solve the equation cos x = sin (x + 22)

Law Incorporation [45]

Answer:

$\bold{x = 34^\circ}$

Step-by-step explanation:

Given:

$cos x = sin (x + 22^\circ)$

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

$sin(90^\circ-\theta )=cos\theta$

$cos(90^\circ-\theta )=sin\theta$

We can apply above property to solve for $x$ as per given equation.

$cos x = sin (x + 22^\circ)$

Changing $cosx$ to sine form:

$cosx=sin(90^\circ-x)$

$cosx=sin(90^\circ-x) = sin(x+22^\circ)$

$\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}$

So, solution to the equation $cos x = sin (x + 22^\circ)$ is:

$\bold{x = 34^\circ}$

7 0

3 years ago

The difference of 2 and the product of 3 and k

kupik [55]

I don't really understand what you are looking for but from what i understand, the answer would be 3k - 2

8 0

4 years ago

In the triangles below, DF is congruent to MN,DG is congruent to MP, angle d is congruent to angle p. Can you prove that triangl

olga nikolaevna [1]

<h2>Answer:</h2>

Definitely we can't prove that triangle DFG is congruent to MNP. The reason is because the angles that are congruent don't match the corresponding vertex, that is, the corresponding vertices of these triangles are as follows:

D is corresponding to M

F is corresponding to N

G is corresponding to P

But the angle we know in the first triangle lies on vertex D while on the second triangle the angle lies on vertex P but it should lies on vertex M, so we'd prove they are congruent by Side-Angle-Side Postulate (SAS).

4 0

3 years ago

2x + 3y = 7<br><br> Need help!!!!!!!!

saveliy_v [14]

Step-by-step explanation:

Q: How do I solve 2X + 3Y = 7?

The two dimensional form for the equation of a straight line is: Y = mX + b (equation 0)

where X and Y are graphic coordinates of a point on that line.

m is the slope of the line described as (Y2-Y1)/(X2-X1) where (X1,Y1) and (X2,Y2) are the coordinates of two additional distinct points on that line.

b is the point on the Y axis where the line crosses called the Y Intercept.

Back to 2X + 3Y = 7

Subtract 2X from both sides of this equation:

2X + 3Y - 2X = 7 - 2X

3Y = -2X + 7

Divide both sides of the equation 3

3Y/3 = (-2X + 7)/3

Y = -(2/3)X + 7/3 (equation 1)

Examining this equation with respect to standard form shown (equation 0), this equation (equation 1) represents a line passing through the Y axis at point location 7/3 at a dowmward to the right slope of 2/3.

To find where the line crosses the X axis (X Intercept), set Y equal to 0:

0 = -(2/3)X + 7/3

Subtracting 7/3 from both sides of the equation:

-(7/3) = -(2/3)X + 7/3 - 7/3

-7/3 = -(2/3)X

Divide both sides of the equation by -2/3

(-7/3)/(-2/3)=((-2/3)X)/(-2/3)

To divide two fractions you invert the denominator and then multiply that by the numerator.

(-7/3)*(-3/2) = (-2/3)*(-3/2)*X

21/6 = (6/6)X

7/2 = X

So drawing a line between the coordinate pairs (0,7/3) also known as (X1,Y1) and (7/2,0) also known as (X2,Y2) describes a segment of the line satisfying the initial equation.

6 0

4 years ago

The speed limit on Lake Buena Vista Road is 25 miles per hour. Many residents believe the mean speed of all cars exceeds the pos

alisha [4.7K]

Answer:

Step-by-step explanation:

6 0

3 years ago