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abruzzese [7]
3 years ago
12

Can I get some help on this one and if you could show its done I would appreciate it. Thank you.

Mathematics
1 answer:
Andreyy893 years ago
5 0
<h3>Answer: 5.5 which is choice B</h3>

Have a look at the diagram I posted below. I marked on your image to add in another angle. This angle is also 20 degrees because of congruent alternate interior angles (horizontal lines are parallel). This angle I add in is the reference angle of the triangle

opposite the reference angle is the vertical side x

adjacent to the reference angle is the horizontal side 15

We'll use the tangent rule. Make sure your calculator is in degree mode.

tan(angle) = opposite/adjacent

tan(20) = x/15

15*tan(20) = x <<-- multiply both sides by 15

x = 15*tan(20)

x = 5.45955 <<--- use calculator; this is approximate

x = 5.5 <<--- round to one decimal place

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Solve the following equations <br>x-1=6/x​
Whitepunk [10]

Answer:

or,x2-x=6

or,x2-x-6=0

or,x2-3x+2x-6=0

or,x(x-3)+2(x-3)=0

or,(x-3)(x+2)=0

so either x=3

or x=-2

3 0
3 years ago
1.<br> What is the solution?<br> y<br> 3<br> -3-2-1<br> 2 3x<br> O (1,2)<br> O (1,-1)<br> O 1<br> 02
Rama09 [41]

9514 1404 393

Answer:

  (d)  Infinitely Many Solutions

Step-by-step explanation:

Each point of intersection between the lines is a solution. When the lines lie on top of each other, there are infinitely many points of intersection, hence ...

  Infinitely Many Solutions

4 0
3 years ago
For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential fun
Burka [1]

Answer:

1,2 and 4 are conservatives

3 is not conservative

Step-by-step explanation:

We calculate  the Curl F

Remember that:

        Curl F = <\frac{dFz}{dy} - \frac{dFy}{dz}, \frac{dFz}{dx} - \frac{dFx}{dz}, \frac{dFy}{dx} - \frac{dFx}{dy}>

1. Curl F = <0,0,5-5> = <0,0,0>

  The potential function f so that  ∇f=F

  f(x,y,z) = -3x^{2} +5xy + 5y^{2}

  Then F is conservative

2. Curl F = < 0, 0 ,0>

  The potential function f so that  ∇f=F

  f(x,y,z) = -3/2x^{2} -y^{2}+z

  Then F is conservative

3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>

              = <0 ,0 , 10 +3xsin(y) + cos(y)<

 How the field's divergence is not zero the vector field is not conservative

4. Curl F = <0, 0, 0>  

  The potential function f so that  ∇f=F

  f(x,y,z) = x^{3}+(5/3)y^{3}+(5/3)z^{3}    

   Then F is conservative

5 0
3 years ago
Find the equation of the line that passes through the point (−3, −4) and is parallel to the line that passes through the points
Dimas [21]

Answer:

y = -\frac{1}{3}x - 5

Step-by-step explanation:

To write the equation of a line use the point slope formula y - y_1 = m(x-x_1). Find m by using the slope formula with the points.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{1--3}{-5-7} =\frac{4}{-12} =-\frac{1}{3}

Since the line is parallel, it will have the same slope.

Substitute m = -1/3 and (-3,-4).

y --4 = -\frac{1}{3}(x --3)\\y + 4 = -\frac{1}{3}(x+3)\\y +4 = -\frac{1}{3}x - 1\\y = -\frac{1}{3}x - 5

8 0
3 years ago
Find the volume of the following solid figure. Use = 3.14. V = 4/3r3. A sphere has a radius of 5.7 inches. Volume (to the neares
Dafna1 [17]

Answer:

the answer is 775.3


8 0
3 years ago
Read 2 more answers
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