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Helen [10]
3 years ago
5

Can someone help me with my Geometry homework please?

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

Sure, what's the question?

Step-by-step explanation:

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The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y
Ivahew [28]

The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is 

(x - x^2)^2 * sqrt(3)/4. 

Integrating from x = 0 to x = 1, we have 

[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4 

= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144. 

Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...

8 0
3 years ago
What ratio is an equal ratio of 1:4?
Mariulka [41]

Answer:

2:8

Step-by-step explanation:

The ratio is already in lowest terms so we found an equivalent ratio by multiplying both terms by 2.

6 0
3 years ago
The total surface area of this cuboid is 112cm^2. Find the value of x.
Oxana [17]

Answer:

The value of x is 3

Step-by-step explanation:

Let us study the face of the cuboind

∵ The cuboid has 6 rectangular faces

∵ Each opposite faces area equal in areas

∴ 2 faces of dimensions 10 cm and 2 cm

∴ 2 faces of dimensions 10 cm and x cm

∴ 2 faces of dimensions 2 cm and x cm

∵ The total surface area of the cuboid is the sum of the areas of the 6 faces

∵ The area of the rectangle = length × width

∴ The total surface area = 2(10 × 2) + 2(10 × x) + 2(2 × x)

∴ The total surface area = 2(20) + 2(10x) + 2(2x)

∴ The total surface area = 40 + 20x + 4x

→ Add the like terms 20x and 4x

∴ The total surface area = 40 + 24x

∵ The total surface area of this cuboid is 112 cm²

→ Equate the two sides of the total surface area

∴ 40 + 24x = 112

→ Subtract 40 from both sides

∵ 40 - 40 + 24x = 112 - 40

∴ 24x = 72

→ Divide both sides by 24

∴ x = 3

∴ The value of x is 3

7 0
2 years ago
Read 2 more answers
Lavinia has 9 glasses and 6 mugs . she would like to set them out in identical groups with none left over in preparation for a p
sergejj [24]
You must find the factors of each number...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6

Next, determine the common multiple...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6

Therefore, the most groups Lavinia can make without any glasses or mugs left to spare is 3.
3 0
3 years ago
Read 2 more answers
PLEASE PLEASE PLEASE HELP I NEED THIS BY 8:00pm!
Likurg_2 [28]

Answer:

1. $85

2. $90.10

3.$108.12

4.$54.06

Step-by-step explanation:

100-15=85 (15% of 100 is 15)

6 percent of 85 is 5.10. So 85 + 5.10=90.10

20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12

Now divide by 2 to get how much they each will pay 108.12/2 = 54.06

6 0
2 years ago
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