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vampirchik [111]
3 years ago
13

How do you find a side length of a cube with the surface area of one face (64cm)

Mathematics
1 answer:
jasenka [17]3 years ago
7 0
Fact #1:
A cube has six faces.

Fact #2:
Every one of them has the same area.

Fact #3:
The surface area of each face is (the length of the cube's side)²

Now that I look at this one more carefully, the only thing you need to know
to solve it is Fact #3.  (But you can keep the others and save them for later.)

The surface area of each face is (the length of the cube's side)²

64 is the (length of the cube's side)²

Can you find a number that gives you 64 when you multiply it by itself ?
That's the length of the cube's side.

Hint: If you don't get ' 8 ', work on it a little more.

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A scale model of a car is 10 in. long. The actual car is 15 ft long. What is the scale of the model?
nikklg [1K]
Oh this question is kinda tricky. At first glance it’s 1 : 1.5 but notice the units. The model car is 10 inches long and the actual car is 15 feet long.

I think you know where to go from there, but 15 feet * 12 inches = 180 inches.

10 : 180 simplifies to 1 : 18 inches
5 0
3 years ago
Read 2 more answers
Help algebra 2 please
kati45 [8]

Answer:

Step-by-step explanation:

(f*g)(x) = (-5x² + 2x + 7) (x +1)

          = x* (-5x² + 2x + 7) + 1*(-5x² + 2x + 7)

          = x*(-5x²) + x*2x + x*7 - 5x² + 2x + 7

        = -5x³ + 2x² + 7x - 5x² + 2x + 7

        = - 5x³ + <u>2x² -5x²</u>   <u>+ 7x + 2x </u>+7   {Combine like terms}

       =  -5x³ - 3x² + 9x + 7

4) (f*g)(x) = (x² + 2x + 4)(x - 2)

                = x*(x² + 2x + 4) - 2*(x² + 2x + 4)

                = x*x² + x*2x + x*4 - 2*x² - 2*2x -2* 4

                = x³ + 2x² + 4x  -2x² -4x - 8

                = x³ - 8

2) Speed=\dfrac{distance}{time}\\\\\\= \dfrac{d(h)}{t(h)}\\\\= \dfrac{2\sqrt{h}}{3\sqrt{4h}}=\dfrac{2*\sqrt{h}}{3*2\sqrt{h}}\\\\\\=\dfrac{1}{3}

1)d(h) = \sqrt{16h^{4}}=\sqrt{2*2*2*2*h*h*h*h}=2*2*h*h=4h^{2}\\\\\\t(h) = 3h^{4}-3h^{3}-5h^{2}= h^{2}(3h^{2}-3h - 5))\\\\Speed=\dfrac{4h^{2}}{h^{2}(3h^{2}-3h-5)}\\\\=\dfrac{4}{3h^{2}-3h-5}

7 0
3 years ago
Halph plz m8<br>Which bar diagram represents the equation 5x + 7.5 = 15?
nordsb [41]

Answer:

Third bar graph.

Step-by-step explanation:

Given : 5x + 7.5 = 15.

To find : Which bar diagram represents the equation.

Solution : We have given   5x + 7.5 = 15

In the equation we can see sum of 5x and 7.5 is 15 .

By the bar graph combination box of 5x and box of 7.5 is equal to the box of 15.

Then Third bar graph represent the equation  .

Two pink boxes of 5x and 7.5 and one blue box of 15.

Therefore, Third bar graph.

8 0
4 years ago
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Identify if the following sequence is arithmetic or geometric.
olasank [31]

Answer:

Arithmetic

Step-by-step explanation:

  Because arithmetic sequences are sequences where the values have a constant change. But Geometric sequences are when the ratois of the values have constant change.

Hope This Helped :)

4 0
3 years ago
Evaluate the exact value: tan(pi/6)
Sedbober [7]
Pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3

4 0
3 years ago
Read 2 more answers
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