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4 years ago

46h+56h=600 please solve

Mathematics

1 answer:

valentinak56 [21]4 years ago

3 0

Answer:

5.88235294118

Step-by-step explanation:

Step 1:

46h + 56h = 600 Equation

Step 2:

102h = 600

Step 3:

h = 600 ÷ 102

Answer:

h = 5.88235294118

Hope This Helps :)

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Evaluate the given integral by changing to polar coordinates.

strojnjashka [21]

Answer:

The result of the integral is $\frac{\pi}{4}(\cos{4}-\cos{1})$

Step-by-step explanation:

Polar coordinates:

In polar coordinates, we have that:

$r^2 = x^2 + y^2$

$\int \int_{R} dA = \int \int_{R} r dr d\theta$

In which r is related to the radius values, while $\theta$ is related to the angles in the trigonometric circle.

In this question:

R is the region in the first quadrant

In the first quadrant in the trigonometric circles, the angles go from 0 to $\frac{\pi}{2}$ , which means that this are the outer limits of integration.

Between the circles with center the origin and radii 1 and 2

This means that the inner limits of integration are between 1 and 2.

The integral will be given by:

$\int \int_{R} \sin{x^2+y^{2}} dA = \int_{0}^{\frac{\pi}{2}} \int_{1}^{2} \sin{r^2} r dr d\theta$

Inner integral:

$\int_{1}^{2} \sin{(r^2)} r dr$

By substituion,

$u = r^2$

$du = 2r dr$

$dr = \frac{du}{2r}$

$\int_{1}^{2} \sin{(r^2)} r dr = \int_{1}^{2} \sin{u} r \frac{du}{2r}$ = \frac{1}{2} \int_{1}^{2} \sin{u} du[/tex]

Integral of sine is minus cosine. So

$\frac{1}{2}(\cos{u})|_{1}^{2}$

Before replacing, we substitute back u.

$\frac{1}{2}(\cos{r^2})|_{1}^{2} = \frac{1}{2}(\cos{4}-\cos{1})$

Outer integral:

$\int_{0}^{\frac{\pi}{2}} \frac{1}{2}(\cos{4}-\cos{1}) d\theta$

$\frac{\theta}{2}(\cos{4}-\cos{1})_{0}^{\frac{\pi}{2}}$

$\frac{\pi}{4}(\cos{4}-\cos{1})$

The result of the integral is $\frac{\pi}{4}(\cos{4}-\cos{1})$

3 0

3 years ago

Tv Is 40 inches in length and 24 inches in width how tall is it

Sedaia [141]

Answer

TV screens are measured on the diagonal 

. In this specific case the TV is shaped like a rectangle , whose diagonal is 40 i n c h e s and its width is 24 i n c h e s : w = 

24 i n d = 40 i n 

Then , the sides of the rectangle and its diagonal form a right triangle . 

Therefore , we can determine the height ( l ) 

if we can apply the Pythagorean theorem: d 2 = l 2 + w 2 

So , solving for l : l = √ d 2 − w 2 

Thus , substituting: l = √ ( 40 ) 2 − ( 24 ) 2 

Simplifying: d = √ 1024 = 32 i n 

Therefore 

, the height of the TV is: 

32 i n 

8 0

4 years ago

What is the answer to 5−2x^2=37

Strike441 [17]

Answer:

x= 4i or -4i

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped :)

4 0

3 years ago

Read 2 more answers

Round to the nearest 10th

german

Answer:

look below

Step-by-step explanation:

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

5 0

3 years ago

FromTheMoon [43]

Answer:

The dimensions of the park is 18yd by 18yd

Step-by-step explanation:

A square-shaped park has an area of 324 yd.

A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².

Length= √324

Length= 18 yd

Dimensions of the park is 18 yd by 18 yd

3 0

3 years ago