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Maslowich
2 years ago
15

Which table and graph represents y=3x

Mathematics
1 answer:
LekaFEV [45]2 years ago
7 0

Answer:

Table A and Graph B

Step-by-step explanation:

It is Graph B because of the equation's slope which is 3. This 3 is represented as \frac{3}{1} as a slope or as a "rise over run", this means that the graph goes up by 3 units while going right by 1 unit.

It is Table A because the points in the graph match with the points which Graph B goes through.

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Without using a calculator how do you evaluate tan 5π/6.
Mama L [17]
Remember that pi=180, 
so 180/6=30, 30*5=150,
what's tan 150? 
Remember that 150 degrees is in the 2nd quadrant, and this is tangent, so it means the answer must be negative, because tan 150= - tan 30, and -tan30=-√3/3. 

Answer: -√3/3. 
3 0
3 years ago
Two numbers such that the greater number is 75 percent more than the lesser number
victus00 [196]
<h2>Greetings!</h2>

If x = the first number (equal to 1x) then the second number is 75% more than this.

This means the value of the bigger number is 100 + 75 (because 100 is the starting number and 75 is the percent bigger)

This can be shown with the following equation:

Amount * \frac{percentage}{100}

x *  \frac{175}{100} = 1.75x

1.75x is the value of the bigger number.


<h2>Hope this helps!</h2>
8 0
3 years ago
Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$\Rightarrow \frac{h}{2}=r

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

  $\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3 (formula)

$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3

$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3

Hence it is true.

Option A, option C and option E are true.

6 0
3 years ago
Read 2 more answers
6% as ratio in simplest form.
Kitty [74]

Answer:

3 : 50

Step-by-step explanation:

6% = 0.06

0.06 = 6/100

6/100 = 3/50

3/50 = 3 : 50

6 0
3 years ago
GEOMETRY HELP PLEASEEEEEEE!!
Nadya [2.5K]
For number 11 the third angle would be equal X as the second angle is, since the two sides next to the those angles are congruent. Then you would have to set an equation saying that 2x + 38= 180 and then you can just solve for X
3 0
3 years ago
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