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harkovskaia [24]
2 years ago
6

Rewrite 1 3/4 using twentieths

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
4 0
The correct answer is 29/20
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Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x
Irina18 [472]

For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has

• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5

• height = <em>x</em> ² + 2

• thickness = d<em>x</em>

and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}

4 0
3 years ago
The scale of the room design shows that 1" = 3 feet. How big is the actual room if the design shows a square that is 6 inches wi
adoni [48]

Answer:

arah is at a miniature exhibit. There is a model of a skyscraper. Underneath the model was a ratio. It said:

1 inch=30 feet.

If the model is 38 inches tall, how Sarah use this information to find the actual height of the skyscraper?

In this concept, you will learn how proportions are used to find actual and scale dimensions using a scale ratio.

Using Proportions to Find Dimensions

A scale is a ratio that shows the relationship between the representation of an object and the real measurement of an object. Toy makers use scale ratios to make models of cars and airplanes that are proportional to the real thing. Architects use scale drawings to plan the design of buildings.

A scale drawing is a drawing that is used to represent and object that is too large to be drawn in its actual dimensions. If a drawing is to scale, you can use proportions to determine the actual dimensions of the scale drawing.

Let’s look at a scale drawing of a sculpture. In the drawing, the sculpture is 4 inches tall. The scale is 1 inch : 4 feet. It scale can be written as

1 in4 ft

(Note: Inch is abbreviated “in.” or with the double prime mark, ″. Foot/feet is abbreviated “ft” or with the single prime mark, ′.)

A drawing with this scale tells you that 1 inch on paper is equal to 4 feet in real life. If the drawing is 4 inches tall, use the scale to find the actual height of the sculpture.

First, create a proportion using equivalent ratios. Remember to write the corresponding units in the numerator and in the denominator. The actual height of the sculpture is represented by the variable x.

1 in.4 ft.=4 in.x ft.

Then, cross multiply and simplify the equation to find the value of x.

xx==4(4)16

The sculpture will be 16 feet tall.

Let’s make a scale drawing. Use the scale 1′′=2′. Draw a room that is 8′×12′.

First, write a proportion to find the measurement of the width.

1′′2′=x′′8′

Next, cross multiply and simplify the equation to find the value of x.

2x2xx===1(8)84

The drawing will be 4

4 0
3 years ago
Find the area of the trapezoid.
riadik2000 [5.3K]

Answer:

36

Step-by-step explanation:

(Top bottom plus bottom bottom )× height divided by 2

(4+6)*6÷2=36

5 0
3 years ago
Read 2 more answers
What's 1/6 divided by 3
erma4kov [3.2K]

Answer:

1/18

Step-by-step explanation:

1/6 * 1/3

1 *1 = 1

6 * 3 = 18

1/18

5 0
3 years ago
Read 2 more answers
35-40 first with the correct answers will get brainliest
serious [3.7K]

Answer:

35.w/g=m

36. P=1/2Q-15

37. R=IV

38. b=-mx+y

39. a) t=-d-e+f

     b) t=19.175

40. No, X=-2.4

Step-by-step explanation:

Explanation for 40:

2(x-4)-4x=-6x+9x+4

first do the parentheses

2x-8-4x=-6x+9x+4

next combine like terms

-2x-8=3x+4

add 2x to each side

-8=5x+4

subtract 4 from each side

-12=5x

divide both sides by 5

x=-2.4

7 0
3 years ago
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