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emmasim [6.3K]
3 years ago
14

Part I

Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0

Answer:

130

Step-by-step explanation:

10 x 13 = 130

13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 = 130

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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
2 years ago
Read 2 more answers
Please answer I need by tonight explain a little thanks
brilliants [131]
The answer is J, t = 1/9u
4 0
3 years ago
Jerry irks at the skate board shop he is paid at the end of the week. He earns 245.00$ a week plus a 15% commission on each boar
blagie [28]

Answer:

$462.7

Step-by-step explanation:

15% commission on $54

= $8.1

he sell 27 boards so

8.1 × 27=$218.7

so

$245.00+$218.7=$463.7

7 0
2 years ago
Factor -1/2out of -1/2x+6
Volgvan
-\dfrac{1}{2}x+6=-\dfrac{1}{2}\left(\dfrac{-\frac{1}{2}x}{-\frac{1}{2}}+\dfrac{6}{-\frac{1}{2}}\right)=-\dfrac{1}{2}\left(x-\dfrac{6\cdot2}{1}\right)=\boxed{-\dfrac{1}{2}\left(x-12\right)}
3 0
3 years ago
Factor the expression<br> 7x^2 + 50x + 7<br> (Type your answer in factored form.)
alina1380 [7]

Answer: (7x + 1)(x + 7)

Step-by-step explanation:

$$Factor the following:$$7 x^{2}+50 x+7$$Factor the quadratic $7 x^{2}+50 x+7$. The coefficient of $x^{2}$ is 7 and the constant term is 7. The product of 7 and 7 is 49 . The factors of 49 which sum to 50 are 1 and 49. So:\\\\ $7 x^{2}+50 x+7\\=7 x^{2}+49 x+x+7\\=7(7 x+1)+x(7 x+1)$ \\\\Factor $7 x+1$ from $7(7 x+1)+x(7 x+1)$ :$$\\\\Answer:(7 x+1)(x+7)$$

3 0
2 years ago
Read 2 more answers
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