Is the square root of 81 natural whole integer rational irrational or real ?

What are the x-intercept and y-intercept of the graph of y= -1/2x + 4

olga nikolaevna [1]

X intercept is 8
y intercept is 4

8 0

3 years ago

Monica paid sales tax of $105 when she bought a new TV. If the sales tax is 5%, what was the cost of the TV?

mezya [45]

Answer:

$31.5

Step-by-step explanation:

X * 5% = $1.50

X = $1.50 / 5%

Or by using simple rule of three:

If 5% is $1.50

Then 100% is X

So you obtain = $30

Now you just need to sum The net prices and the taxes

Net + tax = Total Charge

$30 + $1.5 = $31.5

7 0

3 years ago

You bought some new fish and need the tank ready. You fill the tank with water and start running the filter system.You check the

gizmo_the_mogwai [7]

Answer:

82 degrees

Step-by-step explanation:

It took 3 hours for it to go from 78 to 72.

Which is a rate of -2 degrees per hour

We want to know what the temperature was two hours before it was 78 degrees so we'd do 78 - (-2) which is 82

5 0

3 years ago

Can someone who knows geometry help me

Anuta_ua [19.1K]

3) . Ddraw the radius to the right side of the chord. So you formed a right triangleNow let's apply Pythagoras

3.6² + 5.5²= x² ==> x = 6.57 ≈ 6.6

4) same logic but the other leg = x/2 you will find
x² = 133/4 & x =5.766≈ 5.8

5) arc ab = arc de (1st proposition)

7 0

3 years ago

Cos(100)-cos(99)=? Can you do it step by step

Svetllana [295]

Let's see what to do buddy...

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If 99 & 100 are in Degree

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STEP (1)

The angles 99 and 100 are in the second quarter of the trigonometric circle.

The cosine is negative in the second quarter.

To make things easier, we can use angle conversion.

Look :

$we \: know \: that \: 100 = 90 + 10$

$also \: we \: know \: 99 = 90 + 9$

So :

$\cos(100) = \cos(90 + 10) = \cos( \frac{\pi}{2} + 10 ) \\$

$\cos(99) = \cos(90 + 9) = \cos( \frac{\pi}{2} + 9 ) \\$

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STEP (2)

Well now we have to do the arc deletion.

To remove the arc, we remove π/2 from the arc.

Remember that every time we remove π/2 from the arc, the trigonometric ratio changes.

That is, if it is a sine, it becomes a cosine, and if it is a cosine, it becomes a sine.

Or if it is a tangent, it becomes a cotangent, and if it is a cotangent, it becomes a tangent.

$in \: second \: quarter \: cosine \: is \: negative \\ \\ \cos( \frac{\pi}{2} + 10 ) = - \sin(10) = - 0.173$

$\cos( \frac{\pi}{2} + 9 ) = - \sin(9) = - 0.156 \\$

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STEP (3)

$\cos(100) - \cos(99) = \\ - \sin(10) - ( - \sin(9) \: ) = \\ - 0.173 - ( - 0.156) = \\ - 0.173 + 0.156 = - 0.017$

And we're done here.

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If 99 & 100 are in Radian

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STEP (1)

First we need to know how many degrees 1 radian is.

The following equation is used to convert degrees to radians or radians to degrees.

$\frac{degree}{180} = \frac{radian}{\pi} \\$

So we have :

$\frac{d}{180} = \frac{1}{\pi} \\$

Multiply the sides of the equation by 180 :

$d = \frac{180}{\pi} = \frac{180}{3.14} = 57.32 \\$

So 1 radian is approximately equal to 57 degrees.

And we have :

$100 \: rad \: = 100 \times 57 = 5700 \: deg \\ \\ 99 \: rad \: = 99 \times 57 = 5601 \: deg$

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STEP (2)

Let's move on to deletion.

Look : 5700° = 15 × 360° + 300°

and : 5601° = 15 × 360° + 201°

We know π rad = 3.14 × 57 = 180° deg

So 2π rad = 2 × 180 = 360 ° deg

Then :5700 = 15 × 2 π + 300° = 30 π + 300°

and :5601 = 15 × 2 π + 201° = 30 π + 201°

Remember that deleting 2π is unconditional.

$\cos(30\pi + 300) = \cos(300) = \cos(360 - 60) = \cos(2\pi - 60) = \cos( - 60) = \\ cosine \: eat \: negative \\ \cos( - 60) = \cos(60) = \frac{1}{2}$

$\cos(30\pi + 201) = \cos(201) = \\ \cos(180 + 21) = \cos(\pi + 21) = \\ - \cos(21) = - 0.933$

$\frac{1}{2} - ( - 0.933) = 0.500 + 0.933 = 1.433$

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

6 0

3 years ago