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3 years ago

Please helppp!! Find the missing side . Round to the nearest tenth

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

6 0

Answer:

7. 7.8

Step-by-step explanation:

We can use Tan of this angle to find the missing side (in this case, the side adjacent to the angle measuring 57°)

Tan A = (opposite side)/(adjacent side)

Tan 57° = 12/x

solve for x

x(Tan 57°) = 12

x = 12/(Tan 57°)

x = 7.8 (rounded to the nearest tenth)

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lesya [120]

Answer:

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Step-by-step explanation:

8 0

3 years ago

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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

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4 0

3 years ago

Translate the following into an algebraic expression: A number is 30% of 20% of the number x.

bezimeni [28]

Answer: 0.06x

Step-by-step explanation:

An algebraic expression is an expression consist of integer constants, variables, and algebraic operations.

The given statement: A number is 30% of 20% of the number x.

The required algebraic expression would be:

30% of 20% of x

$=\dfrac{30}{100}\times \dfrac{20}{100}\times x$ [we divide a percentage by 100 to convert it into decimal]

$=\dfrac{6}{100}\times x\\\\=0.06x$

Hence, the required algebraic expression would be :

0.06x

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3 years ago

21.60 divided by 1.35 is what?

klasskru [66]

Answer:

Step-by-step explanation:

21.60 divided by 1.35=16

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3 years ago

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IrinaK [193]

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3 years ago