Which function is shown in the graph below ?

Aleks [24]

Look at the picture.

Use the Pythagorean theorem.

$(19+r)^2=r^2+35^2\\\\19^2+2\cdot19\cdot r+r^2=r^2+1225\ \ \ |-r^2\\\\361+38r=1225\ \ \ |-361\\\\38r=864\ \ \ |:38\\\\r\approx22.737$

The diameter d = 2r.

Therefore

$d=2\cdot22.737=45.474\approx45.5$

Answer: 45.5

4 0

3 years ago

8. Let α, β, γ be the angles made by a vector u ∈ R 3 with positive x, y, z−axis respectively. Then, the numbers l = cos α, m =

alex41 [277]

Answer:

The answers are given in the attachment

Step-by-step explanation:

The detailed step by step calculations are shown in the attachment.

8 0

3 years ago

Solve this <img src="https://tex.z-dn.net/?f=4%5Cleft%285x-2%5Cright%29%3D2%5Cleft%289x%2B3%5Cright%29" id="TexFormula1" ti

vampirchik [111]

Answer:

Solution of equation ( x ) = 7

Step-by-step explanation:

In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.

Solution : -

 $\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )$ 

Step 1 : Removing parenthesis :

$\quad \longrightarrow \:20x - 8 = 18x + 6$

Step 2 : Adding 8 from both sides :

$\quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8$

On further calculations we get :

$\quad \longrightarrow \:20x = 18x + 14$

Step 3 : Subtracting 18 from both sides :

$\quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}$

On further calculations we get :

$\quad \longrightarrow \:2x = 14$

Step 4 : Dividing with 2 on both sides :

$\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }$

On further calculations we get :

$\quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}$

Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

4 ( 5x - 2 ) = 2 ( 9x + 3 )

4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

4 ( 35 - 2 ) = 2 ( 63 + 3 )

4 ( 33 ) = 2 ( 66 )

132 = 132

L.H.S = R.H.S

Hence, Verified.

Therefore, our value for x is correct .

<h2>#Keep Learning</h2>

4 0

2 years ago

Read 2 more answers

What is the arc measure of major arc AC on circle P in degrees

andreyandreev [35.5K]

An arc is a segment of a circle. An arc measure is the measure of an angle that the arc creates in the center of a circle, while an arc length is the span of the arc. This measure can be given in degrees or radians. We can easily convert between the two using the fact that pi radians = 180 degrees.

5 0

3 years ago

Choose the best estimate for the division problem below. 38.064/6.12 A. 9 B. 4. c. 6

Oliga [24]

Answer:

c.6

Step-by-step explanation:

I would estimate 6.12 to 6 and 38.064 because I know 36 is a common denominator of 6. 36/6=6

Hope this helps.

3 0

3 years ago