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2 years ago

Please help! Question below (:

Mathematics

1 answer:

Ket [755]2 years ago

5 0

The 3 inside angles of a triangle need to equal 180 degrees.

You are given 28 for one.

The second on is adding 58 + 77 = 135 degrees.

X = 180 - 28 - 135 = 17 degrees

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I need help with this

LuckyWell [14K]

Answer:

1st - Yes ; 2nd - Yes ; 3rd - Yes ; 4th - No

Step-by-step explanation:

8 0

2 years ago

Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have

$\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}$

Then the derivative of $f$ at (-1, 4, 3) in the direction of $\vec u$ is

$D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}$

4 0

2 years ago

The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together a

alexandr402 [8]

$100\%-25\%=75\%=\frac{75}{100}=0.75\\\\100\%+20\%=120\%=\frac{120}{100}=1.2\\\\1.2\cdot0.75=0.9=0.9\cdot100\%=90\%\\\\100\%-90\%=10\%\\\\Answer:Single\ reduction\ is\ 10\%.$

6 0

2 years ago

Please prove the following trigonometric identity.<br><br>

Brums [2.3K]

Step-by-step explanation:

solution:- from LHS 1-cos²x/sinx

∵ 1-cos²x = sin²x

∴ sin²x /sinx = sinx

from RHS tanx × cosx

∵tanx = sinx×cosx

∴ sinx/ cosx × cosx = sinx

Since, LHS = RHS proved ___

3 0

2 years ago

Each day, Karen makes 45 loaves of bread at the bakery where she works. Each loaf of bread requires 5 cups of flour. One pound o

xxTIMURxx [149]

Answer: 5cups of flour = 1 loaf of bread

45 loaves of bread multiplied by 5 cups of four = 225 cups of flour to make 45 loaves of bread.

225 cups of flour divided by 4 = 56.25 pounds of flour.

6 0

2 years ago

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