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3 years ago

Help please thanks :)

Mathematics

1 answer:

telo118 [61]3 years ago

5 0

Answer:

102 cm^2 approximately.

Step-by-step explanation:

to find the area of a parallelogram you should multiply it's base by its height

14.2 × 7.18 = 102 cm^2

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Which number is bigger, <br><br> square root of 24 <br> or <br> 4.256

mafiozo [28]

Answer:

The square root of 24

Step-by-step explanation:

The square root of 24 is about 4.899 which is greater than 4.256.

7 0

3 years ago

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Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

$f_z=3(2)^2=12$

so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

$dir=(gradf) \cdot (v')$

now, we can plug values

$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

$dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })$

$dir=-\frac{248\sqrt{29}}{29}$ .............Answer

7 0

4 years ago

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Wat is x in 1/3x - 11 = 5

kirza4 [7]

=48

Multiply by 1

Add 1 1 11 11

to both sides of the equation

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3 years ago

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Which is the most effective brand name shoe. is it Experimental vs. Observational

balandron [24]

Answer:

nike its observational

Step-by-step explanation:

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2 years ago

If line segment BH = 3, line segment BF = 10, line segment GH= 2, find HD 15 11 10.5 ?

pav-90 [236]

HD = 10.5

Step-by-step explanation:

Given BH = 3, GH = 2, BF = 10

Step 1: To find HF:

HF = BF – BH

HF = 10 – 3

HF = 7

Step 2: To find HD:

We know that if two chords intersects inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.

⇒ GH × HD = BH × HF

⇒ 2 × HD = 3 × 7

⇒ HD = 10.5

Hence, the value of HD = 10.5.

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3 years ago

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