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stealth61 [152]
3 years ago
12

Solve for theta please!

Mathematics
1 answer:
Gnom [1K]3 years ago
6 0

\bf mg sin(\theta )=\mu mg cos(\theta )\implies \cfrac{~~\begin{matrix} mg \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ sin(\theta )}{~~\begin{matrix} mg \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ cos(\theta )}=\mu\implies tan(\theta )=\mu \\\\\\ tan^{-1}\left[ tan(\theta ) \right]=tan^{-1}(\mu)\implies \theta=tan^{-1}(\mu)

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Wittaler [7]
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6 0
4 years ago
Jimmy's satellite radio bill is automatically deducting $15 from his bank account every month. How much will the dedication tota
kykrilka [37]
It’ll cost him $180 for the year
5 0
3 years ago
Help me! What is the surface area of the triangular prism shaped toy car ramp shown?
dalvyx [7]

Answer:

TRY 416in²

Step-by-step explanation:

front:

8×17=136÷2=68

same for the back

back = 68

side 1=

7×15=105

side 2=

8×7=56

bottom=

17×7=119

68+68+105+56+119=416

8 0
2 years ago
a sector with a central angle measure of 7pi/4 in radians has a radius of 16cm what is the area of the sector
Jobisdone [24]

Answer:

The area of this sector is 224*pi cm² or approximately 703.72 cm²

Step-by-step explanation:

In order to calculate the area of a sector for which we have an angle in radians, we need to apply a rule of three in such a way that pi*r² is related to 2*pi radians in the same proportion as the given angle is related to the area of the sector we want to find. This is shown below:

2*pi rad -> pi*r² unit²

angle rad -> sector area unit²

2*pi / angle = pi*r² / (sector area)

2*pi*(sector area) = pi*r²*angle

sector area = [pi*r²*angle]/2*pi

sector area = r²*angle/2 unit²

Applying the data from the problem, we have:

sector area = [(16)²*(7*pi/4)]/2 = [256*(7*pi/4)]/2 = 64*7*pi/2 = 32*7*pi = 224*pi

sector area = 224*pi cm²

sector area = 703.72 cm²

7 0
4 years ago
PLZ HELP ILL MARK YOU BRAINLEST ‼️<br><br>a) 120°<br><br>b) 50°<br><br>c) 70°<br><br>d) 180°​
Alexus [3.1K]

Answer:

120°

Step-by-step explanation:

Add the 2 opposite angles to find the exterior angle.

50° + 70° = 120°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

6 0
3 years ago
Read 2 more answers
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