In ΔPQR, p = 75 inches, q = 73 inches and r=35 inches. Find the measure of ∠P to the nearest 10th of a degree.

Answers

Answer 1

Answer:

79.5

Step-by-step explanation:

a^2 =b^2+ c^2-2bc cos A

cos p = 73^2+35^2-75^2/2(73)(35)

cos p= 9229/5110

cosp=79.5

Answer 2

The measure of ∠P to the nearest 10th of a degree is 79.5

What is a cosine law?

Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.

u² = s² + t² - 2(s)(t)·cos U

We are given that In ΔPQR, p = 75 inches, q = 73 inches and r=35 inches.

u² = s² + t² - 2(s)(t)·cos U

Now substituting;;

cos p = 73²+35²-75² /2(73)(35)

cos p= 9229/5110

cosp=79.5

The measure of ∠P is 79.5

Learn more about cosine rule;

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Related Questions

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Answer:

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Step-by-step explanation:

All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?

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Answers

Answer:

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Step-by-step explanation:

18 in=1.5 ft

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

30000 is your answer

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How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

A = (x^2 - 17x + 72)

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Answer:

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Step-by-step explanation:

edge

which polynomial function has a real root of multiplicity 2?

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Answers

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Answer:

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Step-by-step explanation:

Use triangle inequalities:

7+10>x

x+10>7

x+7>10

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Answer:

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Step-by-step explanation:

The third side must be greater than the difference and smaller than the sum of the two other sides.

10-7=3

10+7=17

so the third side must be greater than 3 and less than 17

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Answers

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

Answer:

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Downhill slopes are negative slopes.

The slope will be a negative number like -7 or -1/3.

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Easter game idea's please!
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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

Step-by-step explanation:

[tex]Given \ f (p,q) = 8qe^{-p} + 4pe^{-q} \ where \ P_o(0,0) \\ \text{thus the gradient of f is: } \\ \\ \bigtriangledown f(p,q) = \Big(\dfrac{\partial f}{\partial p}, \dfrac{\partial f}{\partial q} \Big) \\ \\ \dfrac{\partial f}{\partial p} = -8qe^{-p} + 4pe^{-q} \\ \\ \dfrac{\partial f}{\partial p} = 8qe^{-p} - 4pe^{-q} \\ \\ Then: \bigtriangledown f(p.q) = (-4qe^{-p}+ 8qe^{-q}, 4qe^{-p}- 8qe^{-q}) \\ \\ f(0,0) = (-4*(0)e^{-0}+ 8*(0)e^{-(0)}, 4*(0)e^{-(0)}- 8*(0)e^{-(0)}) \\ \\ = (0+8,4-0) = (8.4)[/tex]

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is this for fetch rewards

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Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

1)

Hyp =40

∠48

x = Adj

use CAH since it's got these pieces in it

Cos(48) = x / 40

40* Cos(48) = x

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x = 26.8  ( rounded to nearest 10th)

2)

∠29

Hyp = 35

Opp = x

use SOH since this problem has those pieces in it

Sin(29) = x / 35

35*Sin(29) = x

16.9683 = x

x = 17.0  (rounded to nearest 10th)

3)

40 = Adj

∠16

Hyp = x

use CAH again

Cos(16) = 40 / x

x = 40 / Cos(16)

x = 41.611

x = 41.6 (rounded to nearest 10th )

4)

∠55

Opp = 35

x = Adj

use TOA

Tan(55) =35/x

x = 35/Tan(55)

x = 24.5072

X = 24.5  ( rounded to nearest 10th)

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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There are 15 boys and 18 girls in seventh grade. Find the ratio of boys to girls in seventh grade.

Answers

Answer:

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Step-by-step explanation:

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