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tatyana61 [14]
3 years ago
14

Help asap

Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0

Answer:

x ≈ 17.14

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan35° = \frac{opposite}{adjacent} = \frac{12}{x} ( multiply both sides by x )

x × tan35° = 12 ( divide both sides by tan35° )

x = \frac{12}{tan35} ≈ 17.14 ( to the nearest tenth )

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The independent variable is x

y is dependent on the value of x

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ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
Leni [432]

Answer:

- 22719559.

Step-by-step explanation:

3 0
3 years ago
Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per
eduard

Answer:

c)   6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation:  y=mx+b

(where m is the slope and b is the y-intercept)

Maria's line:  y=-\dfrac{5}{6}x+8

Therefore, the slope of Maria's line is -\frac{5}{6}

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}

Therefore, the linear equation of Nate's line is:

y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}

Rearranging this to standard form:

\implies y=\dfrac{6}{5}x+b

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\implies 6x-5y=-5b

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3 0
2 years ago
How long should the wooden frame be (use 3.14 for pi)
scoundrel [369]
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The  C stands for circumference 
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Since the sides are 10 ft you multiply that by 2 to get the length of both sides which gives you 20 feet. 

Then to find the circle, since both are half circles. You can just do the normal circumference equation and you will end up with the same answer.

For example in this problem: this problem gives you the diameter but you need the radius of the circle. C=2(π)(1.5)

C=9.42 < this is the circumference of the circle. 

Then you add the sides of the table which are 20 feet. 

So the final answer is 29.42 feet. 
6 0
3 years ago
System of linear equations has been graphed in the diagram. Determine a reasonable solution for the system of equations.
umka2103 [35]

Answer:

D) (0, -3)

Step-by-step explanation:

The solution of two linear equations is the point of intersection of their graphs.

From the graph, the point of intersection of the graphs of the two linear equations is on the y-axis. So, the x value on the y axis is always 0. Also, the point is below the x-axis. So, the y value of the point will be negative.

From the choices given, only (0,-3) matches the above conditions.

Therefore, the correct choice is D. (0, -3).

7 0
3 years ago
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