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3 years ago

6

Q is a right angle in triangle QRS. The length of QS is 2 and the length of QR is 4. What is the measure of angle R (to the near

est degree)?

1 answer:

Nastasia [14]3 years ago

8 0

Answer:

27

Step-by-step explanation:

the measure of R is arctan(2/4) which is 27 degrees

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Help me with a algebra word problem

Alexandra [31]

0.80m
0.50c
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31.04 should be your answer, sorry if I'm wrong!

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3 years ago

Which equation represents this statement? One-third of a number is 21.

Musya8 [376]

This states that a number divided by 3 is 21. the equation is: n/3 = 21

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3 years ago

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seraphim [82]

Answer:

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Step-by-step explanation:

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3 years ago

Suppose z equals f (x comma y ), where x (u comma v )space equals space 2 u plus space v squared, y (u comma v )space equals spa

barxatty [35]

$z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}$

We're given that $f_x(6,1)=3$ and $f_y(6,1)=-1$ , and want to find $\frac{\partial z}{\partial v}(1,2)$ .

By the chain rule, we have

$\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}$

and

$\dfrac{\partial x}{\partial v}=2v$

$\dfrac{\partial y}{\partial v}=-1$

Then

$\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)$

(because the point $(x,y)=(6,1)$ corresponds to $(u,v)=(1,2)$ )

$\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}$

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3 years ago

If all accounts earn 1.5% interest per year and no further deposits are made, how much will Letisha have earned one year after h

aleksandrvk [35]

<span>Letisha will have earned however much money she began with plus 1.5 percent. This can be found by taking the initial principal on January 1 of the previous year, multiplying it by 0.015, and adding the result to the previous balance to get the end-of-year total.</span>

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3 years ago