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3 years ago

Find the area of the figure.

Mathematics

1 answer:

Eva8 [605]3 years ago

6 0

Answer:

Step-by-step explanation:

Base of the triangle= 37•5m

Height of the triangle= 6•4m

Area of the triangle= 1/2 × base × height

= 1/2 × 37•5 × 6•4

= 120 m^2

Please mark it as brainliest:)

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Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

$f_x(x,y,z)=4\sin (y-z)$

$f_x(x,y,z)=4x\cos (y-z)$

$f_z(x,y,z)=-4x\cos (y-z)$

Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

4 0

3 years ago

Juan ramirez sells suits in a major department store on weekends he Ernst a commission of 5 percent on the first ten suits and h

romanna [79]

Answer:

$185

Step-by-step explanation:

The first ten suits sold for 10×$250 = $2,500

commission = 5% of $2,500 = 0.05×$2,500 = $125

The next three suits sold for 3×$250 = $750

commission = 8% of $750 = 0.08×$750 = $60

Total commissions = $125+$60 = $185

There are several errors in the question. If you are using voice recognition, you are better off typing the question manually.

5 0

3 years ago

Peepeepoopooo I need help please

Irina18 [472]

Answer:

16.9

Step-by-step explanation:

We can use a proportion also in this case

51.6 : 23 = 38 : NO

NO = (38 x 23)/51.6 = 16.9

6 0

3 years ago

Calculate the angle of depression, x, if the boat is 750 ft. away from the light house and the light house is 300 ft high. Round

I am Lyosha [343]

Firstly , we need to draw diagram

we are given

opposite =300

adjacent =750

now, we can use tan formula

$tan(x)=\frac{300}{750}$

now, we can find x

$x=tan^{-1}(\frac{300}{750})$

we get

$x=21.8 degree$

so,

angle of depression is 21.8 degree.....Answer

8 0

3 years ago

|x-4|=12 may someone answer this question

IRINA_888 [86]

Answer:

x= 16 or -8

Step-by-step explanation:

absoultes

3 0

3 years ago

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