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dezoksy [38]
3 years ago
9

Need Help ASAP. Thank You.

Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0
Let, the number of hour, she can still watch the T.V. = x
Equation would be: x + 1.5 ≥ 5

Solving the equation:
x + 1.5 ≥ 5

Subtract 1.5 from both the sides, 
x + 1.5 - 1.5 ≥ 5 - 1.5
x ≥ 3.5 

In short, She can watch 3.5 hours more in that week

Hope this helps!
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Can someone help me
erik [133]

Answer:

   6 < x < 23.206

Step-by-step explanation:

To properly answer this question, we need to make the assumption that angle DAC is non-negative and that angle BCA is acute.

The maximum value of the angle DAC can be shown to occur when points B, C, and D are on a circle centered at A*. When that is the case, the sine of half of angle DAC is equal to 16/22 times the sine of half of angle BAC. That is, ...

  (2x -12)/2 = arcsin(16/22×sin(24°))

  x ≈ 23.206°

Of course, the minimum value of angle DAC is 0°, so the minimum value of x is ...

  2x -12 = 0

  x -6 = 0 . . . . . divide by 2

  x = 6 . . . . . . . add 6

Then the range of values of x will be ...

  6 < x < 23.206

_____

* One way to do this is to make use of the law of cosines:

  22² = AB² + AC² -2·AB·AC·cos(48°)

  16² = AD² + AC² -2·AD·AC·cos(2x-12)

The trick is to maximize x while satisfying the constraints that all of the lengths are positive. This will happen when AB=AC=AD, in which case the equations be come ...

  22² = 2·AB²·(1-cos(48°))

  16² = 2·AB²·(1 -cos(2x-12))

The value of AB drops out of the ratio of these equations, and the result for x is as above.

4 0
3 years ago
Read 2 more answers
Cody's Gym charges a $15 fee to join and $30 per month. Tyler's Gym charges a $30 fee to join and $20 per month. Write an inequa
posledela

Answer:

<u>After (3/2) months Tyler's gym would be a better deal.</u>

Step-by-step explanation:

Let x the number of months

Cody's Gym charges a $15 fee to join and $30 per month

y₁= 15 + 30x (1)

Tyler's Gym charges a $30 fee to join and $20 per month

y₂ = 15 + 30x (2)

See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)

The point of intersection between y₁ and y₂ is ( 3/2 , 60)

After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges

So, the inequality will be:

<u>After (3/2) months Tyler's gym would be a better deal.</u>

​

3 0
3 years ago
58 yd<br> 73 yd<br> Use 3.14 Instead Of Pie Symbol
defon

Answer:

771096.8 \: yd^{3}

Step-by-step explanation:

If you are trying to find the volume, you would use the formula:

\pi \: r ^{2} (h)

You would plug in the radius (r), which is 58, and then plug in the height, which is 73.

Make sure you remember to use 3.14 and not the pi key if you are using a calculator.

The final answer is 771,096.8 yd^3

7 0
3 years ago
(look at the pictures)
-BARSIC- [3]

Step-by-step explanation:

the function A, according to the tables

=> the equation : f(x) = 2x +3

the slope = 2

the function B, according to the graph

=> the equation : f(x) = 3x -2

the slope = 3

based on the value of the slope, the function B has a greater rate of change

8 0
3 years ago
Read 2 more answers
Brainliest and Five Stars for correct answers
wel
\bf \lim\limits_{x\to 9}~\cfrac{x^2-81}{x-9}\implies \cfrac{\stackrel{\textit{difference of squares}}{x^2-9^2}}{x-9}\implies \cfrac{\underline{(x-9)}(x+9)}{\underline{(x-9)}}&#10;\\\\\\&#10;\lim\limits_{x\to 9}~x+9\implies (9)+9\implies 18
3 0
3 years ago
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