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4 years ago

Help!!! Find the surface area of the cube shown below

Mathematics

1 answer:

ivanzaharov [21]4 years ago

3 0

Answer:

The answer to your question is 8/3 u²

Step-by-step explanation:

Data

length of the side = 2/3

Surface area = ?

Process

1.- Calculate the area of one face

Area = side x side

-Substitution

Area = 2/3 x 2/3

-Result

Area = 4/9

2.- Calculate the area of the cube (a cube has 6 faces)

Surface area = 4/9 x 6

= 24/9

-Simplification

Surface area = 8/3 u²

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For g(x)=x^2-x find g(x) when x=-2

torisob [31]

Answer:

$g(x) = 6$

Step-by-step explanation:

Begin with substuting the x variable with -2, we do this because the question has listed the value of x already.

Using the value of x, -2 we determine g(x).

g(x) = -2^2 + 2

Above is what the equation would look as, after you input the value of -2.

Using pemdas, (parantheses, exponents, multiplication, division, addition, subtraction) solve the equation.

-2^2 = 4

Think of it as -2 * -2, which is why -2^2 is 4.

Add 4 +2.

4 + 2 = 6.

Therefore, the value of g(x) = 6

6 0

3 years ago

Each person will eat 2/3 of a pound of Turkey and 8 people will be at party

disa [49]

Each person will get 5.33 pound of turkey.

6 0

4 years ago

Read 2 more answers

-2 (3×3 + (1/2 × 1/2)

Afina-wow [57]

THe answer is -18.5. Hope its right

8 0

4 years ago

I need help on this saturday guys

Anna71 [15]

The point-slope form:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - the point

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (5, 4) and (2, -2). Substitute:

$m=\dfrac{-2-4}{2-5}=\dfrac{-6}{-3}=2$

$y-4=2(x-5)$ - point-slope form

$y-4=2x-10$ add 4 to both sides

$y=2x-6$ - slope-intercept form

$y=2x-6$ subtract 2x from both sides

$-2x+y=-6$ change the signs

$2x-y=6$ - standard form

-------------------------------------------------------------------

From the table we have two points (1, 3) and (2, 7). SubstituteL

$m=\dfrac{7-3}{2-1}=\dfrac{4}{1}=4$

$y-3=4(x-1)$ - point-slope form

$y-3=4x-4$ add 3 to both sides

$y=4x-1$ - slope-intercept form

$y=4x-1$ subtract 4x from both sides

$-4x+y=-1$ change the signs

$4x-y=1$ - standard form

6 0

3 years ago

The volume of a right circular cone with both

Rufina [12.5K]

Question:

The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.

What is the value of h?

Answer:

A. 5

Step-by-step explanation:

Given

Solid Shape: Cone

Volume = 250/7

Diameter = Height

Required

Find the height of the cone

Provided that the diameter (D) and the height (h) are equal; This implies that

D = h ------ (1)

Also, Diameter (D) = 2 * Radius (r)

D = 2r

Substitute 2r for D in (1)

2r = h

Multiply both sides by ½

½ * 2r = ½ * h

r = ½h

Volume of a cone is calculated by;

Volume = ⅓πr²h

⅓πr²h = 250/7

Substitute ½h for r

$\frac{1}{3} * \pi * (\frac{1}{2}h)^2 * h = \frac{250}{7}$

Take π as 22/7, the expression becomes

$\frac{1}{3} * \frac{22}{7} * (\frac{1}{2}h)^2 * h = \frac{250}{7}$

Open the bracket

$\frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7}$

Multiply both sides by 7

$7 * \frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7} * 7$

$\frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250$

Multiply both sides by 3

$3 * \frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250 * 3$

$22 * \frac{1}{4}h^2 * h = 750$

Multiply both sides by 4

$4 * 22 * \frac{1}{4}h^2 * h = 750 * 4$

$22 * h^2 * h = 3000$

$22 * h^3 = 3000$

Divide both sides by 22

$h^3 = \frac{3000}{22}$

$h^3 = 136.36$

Take cube root of both sides

$h = \sqrt[3]{136.36}$

$h = 5.15$

$h = 5$ (Approximated)

6 0

3 years ago