Can someone help me with this Geometry question? Will mark Brainliest.

9514 1404 393

Answer:

  x = ∛4 ≈ 1.587 m

  y = (∛4)/2 ≈ 0.794 m

Step-by-step explanation:

Short answer:

An open-top box will use minimum material when it has the shape of half a cube. That is, the x-dimensions will be ...

  x = ∛(2·2 m³) = ∛4 m

The y-dimensions will be half that:

  y = x/2 = (∛4)/2 m

__

Long answer:

The volume is ...

  V = x^2·y

so the y-dimension is ...

  y = V/x^2

The area of the sides and bottom will be ...

  A = 4xy + x^2

  A = 4x(2/x^2) +x^2 = 8/x +x^2

The area is minimized when the derivative of this is zero.

  A' = 0 = -8/x^2 +2x

  x^3 = 4 . . . . . . . divide by 2 and rearrange

  x = ∛4 . . . . . . . . cube root

  y = 2/x^2 = 2∛4/4

  y = (∛4)/2

___

Additional comment

If you follow the numbers through, you see that the value under the cube-root radical is twice the volume. This is the result we used in the "short answer."

Answer:

x=10

Step-by-step explanation:

Because of the two parallel lines, the ratio between the sides must be the same.  Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio.  Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too.  If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.

12/18=x/(x+5)

then cross multiply and solve

12(x+5)=18x

12x+60=18x

60=18x-12x

60=6x

10=x

Answer:

x=10

Step-by-step explanation:

You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.

[tex]\frac{x}{12} = \frac{x+5}{18} \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10[/tex]

Answer:

12 nuts

Step-by-step explanation:

[tex]7 + 5 = 12[/tex]

Answer:

edf

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

uhhh

Answer:

42% chance

Step-by-step explanation:

Since there are 21 red marbles and 29 blues ones, the total amount of marbles is 50. There are only 21 red marbles out of 50 marbles so there is a 21/50 chance that you will pick a red marble.

Answer:

25 dfferent ways

Step-by-step explanation:

The answer is 25 different ways because since there are students and thy line up behind each other you  would do 5 times 5 which equals to 25.

Answer:

500 dino nuggies.

Step-by-step explanation:

Hope this helps

Answer:

500 dino nuggies!!!

Step-by-step explanation:

Answer:

628

Step-by-step explanation:

1) Find the circumference of the wheel (the distance it travels in 1 revolution)

[tex]C=\pi d[/tex] where d is the diameter

Plug in 2 ft as the diameter

[tex]C=(3.14) (2)\\C=6.28[/tex]

Therefore, the circumference of the wheel is 6.28 ft.

2) Multiply the circumference by 100

6.28 × 100

= 628 ft

Therefore, Joe would travel 628 feet if his wheel turns exactly 100 complete revolutions in one direction.

I hope this helps!

Answer:

eight chairs.

Step-by-step explanation:

five quarts= 40/8 quarts

one chair= 5/8 quarts

40/8-5/8x=0

(-40/8)/(-5/8)=x

eight chairs

The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g

Formula for density is;

Density = mass/volume

From the box we are given, it's volume is;

Volume = 30 * 30 * 76

Volume = 68400 cm³

Now, from conversion;

1 cm³ = 1g. Thus;

68400 cm³ = 68400 g

Volume = Mass/density

Volume = 68400/2.65

Volume = 25811 g

Read more about mass required at; https://brainly.com/question/1762479

Answer:

B

Step-by-step explanation:

The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88

Answer:

B

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius (half the diameter).

2r is then the diameter.

so, in our case the circumference is

42×pi = 42 × 3.14 = 131.88 mm

Answer:

d ≈ 45 ft

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

Circumference C = 141.3 ft

Step 2: Solve for d

Answer:

75

90

15, i think ??

165

hope this helps !!!! :D

Step-by-step explanation:

Solution:

Here,

In triangle LKM,

6x+5x+x=180

12x=180

x=180/12

x=15

Now,

1.75

2.90

3.15

4.165

Answer:

39

Step-by-step explanation:

8(4) + 11 -2(2)

32 + 11 - 4

43 - 4

39

Answer:

450 ml.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder is given by:

[tex]V = \pi r^2h[/tex]

In which r is the radius and h is the height.

A cylindrical drinking glass has a base radius of 3.2 centimeters and a height of 14.0 centimeters.

This means that [tex]r = 3.2, h = 14[/tex]

How many milliliters of water does the glass hold when it is full?

Radius and height are measured in centimers, so the volume will be in cubic centimeters, which is the same as milliliter. So

[tex]V = \pi(3.2)^2*14 = 450.3[/tex]

Rounding to the nearest millimeter, the answer is 450 ml.

Answer:

The answer is -5.

Step-by-step explanation:

The absolute value of -9 is 9.

Then it would be like 4= x + 9.

If you solve it, you get -5.

Answer:

Step-by-step explanation:

(4 , 1) ; x₁ = 4   and y₁ = 1

(4 , -5) ; x₂ = 4  and y₂ = -5

The slope of the the line is undefined as the line is parallel to y-axis

Answer:

A. 45

- as AB and CD are parallel to each other, the value of y will be equal to 45° in CD

The value of y in the given diagram is 45.

Option A is the correct answer.

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

Let the corresponding angle with y is m.

Now,

y = m

Now,

45 and m are opposite angles.

So,

m = 45

Now,

The corresponding angle with y is m.

This means,

y = m

y = 45

Thus,

The value of y is 45.

Learn more about corresponding angles here:

https://brainly.com/question/1597341

#SPJ7

Answer: D 1,500

Step-by-step explanation:

Because there is 2,000 milliliters in 2 liters, so if we do 2,000 - 500 we get 1,500 left

Answer:

Both A and D

Step-by-step explanation:

Because 500 milliters is half of one liter which makes the total 1.5 liters or 1500 mililliters

Step-by-step explanation:

The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.

Answer:

$506.25

Explanation:

assuming it is simple interest,

$1500 × 6.75% = $101.25 (interest earned each year)

$101.25 × 5 = $506.25 (interest earned in 5 years)

i hope this helps, feel free to comment if you need to clarify anything!

Answer:

Step-by-step explanation:

Integer roots:

a = 6 n + 1, b = 7, c = -3 n^2 - n, n element Z

a = 6 n + 5, b = 7, c = -3 n^2 - 5 n - 2, n element Z

Derivative:

d/da(1/7 (a^2 + 12 c) b - 1) = (2 a b)/7

Indefinite integral:

integral(-1 + 1/7 b (a^2 + 12 c)) da = (a^3 b)/21 + (12 a b c)/7 - a + constant

Related Queries:

Answer:

0.4% or in decimal form 0.004

Step-by-step explanation:

took the test and got it right!

Answer:

13

Step-by-step explanation:

43 - 30 = 13

q = 13

Answer:

q=13

Step-by-step explanation:

first, subtract 30 from both sides of the equation

30-30+q=43-30

you should be left with q=13

that's your answer

Answer:

a) 16

b) 100

c) 64

d) [tex]\frac{81}{4}[/tex][/tex]

Step-by-step explanation:

Perfect square trinomial:

A perfect square trinomial has the following format:

[tex](x \pm a)^2 = x^2 \pm 2ax + a^2[/tex]

a.

x² – 8x

[tex]x^2 - 8x = x^2 - 2ax[/tex]

So 2a = 8, a = 4. Then

[tex]a^2 = 4^2 = 16[/tex]

The perfect square trinomial is [tex]x^2 - 8x + 16[/tex]

b. x2 + 20x +

2a = 20, so a = 10

[tex]a^2 = 10^2 = 100[/tex]

The perfect square trinomial is [tex]x^2 + 20x + 100[/tex]

C.

x² – 16x +

2a = -16, so a = -8.

[tex]a^2 = (-8)^2 = 64[/tex]

The perfect square trinomial is [tex]x^2 - 16x + 64[/tex]

d. x2 + 9x +

[tex]2a = 9[/tex], so [tex]a = \frac{9}{2}[/tex]

[tex]a^2 = (\frac{9}{2})^2 = \frac{81}{4}[/tex]

The perfect square trinomial is [tex]x^2 + 9x + \frac{81}{4}[/tex][/tex]