6. Find the missing value. Show your work.

Mathematics

1 answer:

VLD [36.1K]3 years ago

4 0

For the 51-deg angle, y is the opposite leg, and 12 is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

sin 51 deg = y/12

y = 12 * sin 51 deg

y = 9.3

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sesenic [268]

Take the integral:

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$\large\begin{array}{l} \textsf{Substitute}\\\\ \mathsf{2x-1=u\quad\Rightarrow\quad 2\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^u\,du}\\\\ =\mathsf{\dfrac{1}{2}\cdot \dfrac{1}{\ell n\,3}\,3^u+C}\\\\ =\mathsf{\dfrac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}$

$\large\begin{array}{l} \boxed{\begin{array}{c}\mathsf{\displaystyle\int\!3^{2x-1}\,dx=\frac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}}\qquad\checkmark \end{array}$

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$\large\textsf{I hope it helps. :-)}$


Tags: integrate indefinite integral substitution exponential base logarithm log ln composite integral calculus

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3 years ago

A soccer team will sell T-shirts for a fundraiser. The company that makes the T-shirts charges $10 per shirt plus a $20 shipping

FinnZ [79.3K]

a. Write and graph an equation in two variables that represents the total cost of ordering the shirts.
For this case, the first thing we must do is define variables:
c = total cost
x = x number of shirts.
The equation that adapts to the problem is:
c (x) = 10x + 20
Answer:
c (x) = 10x + 20

b. Choose an ordered pair that lies on your graph in part (a). Interpret it in the context of the problem.
Let's choose the next ordered pair:
(x, c (x)) = (0, 20)
We verify that it is in the graph:
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Answer:
(0, 20)
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2 years ago

I need help please help me.THANKS!!

Elan Coil [88]

Answer:

A. 42, 120, 162

Step-by-step explanation:

27 x 6 = 162

42 + 120 = 162

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