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3 years ago

Triangle PQR with side p across from angle P, side q across from angle Q, and side r across from angle R

Mathematics

2 answers:

svlad2 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Law of cosine expression for the triangle will be

q² = r² + p² - 2 (rp) cos Q

going by the equation r and p is given and Q is included then we can calculate q which corresponds to PR which faces or is subtended by angle Q. p correspond to QR and r correspond to PQ.

Mkey [24]3 years ago

4 0

Answer:

Step-by-step explanation:

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Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc

In-s [12.5K]

Answer:

$\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

$L^2 = y^2 + x^2$

$\implies L = \sqrt{y^2 + x^2}$ ,

Differentiating with respect to time (t),

$\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})$

$=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)$

$=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})$

$=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})$

Here,

$\frac{dy}{dt}=-6\text{ ft per sec}$

Also, $\frac{dL}{dt} = 0$ ( Ladder length = constant ),

$\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0$

$-6x + y\frac{dy}{dt}=0$

$y\frac{dy}{dt}=6x$

$\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Which is the required notation.

8 0

3 years ago

Please do this I am begging u

Oduvanchick [21]

Answer:

1) AD = RC 2) Angle A = Angle R 3) Angle AMD = Angle CMR Reason: Vertical angles theorem.

Step-by-step explanation:

I can't really explain my process since some are self explanatory, but if you do have questions, always know that you can reply and I'll answer them. Also, number four is cut off so I'm not sure if there is a fill in a blank portion there.

6 0

3 years ago

Read 2 more answers

Please help

Ira Lisetskai [31]

Answer:

285°

Step-by-step explanation:

105+180=285

7 0

3 years ago

Which of the following is a key property of the linear parent function