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s344n2d4d5 [400]
2 years ago
9

Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengt

hs of 2.4 feet and a height of 3.4 feet. Find the percentage of the amount of paint she would use to paint all but the bottom surface of the prism to the amount she would use to paint the entire prism. Round to the nearest tenth.
Mathematics
1 answer:
Brrunno [24]2 years ago
3 0
The top and bottom have area (2.4 ft)² = 5.76 ft².

The sides have area (4*2.4 ft)*(3.4 ft) = 32.64 ft².

The the total area is (2*5.76 +32.64) ft² = 44.16 ft². All but the bottom area is then 44.16 ft² -5.76 ft² = 38.40 ft².

The ratio (all but bottom area)/(total area) is then
  38.40/44.16 ≈ 87.0%
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What are three terms in the sequence 4096, 1024, 256, 64
mash [69]

If you mean 3 more terms in the sequence they could be

64, 32, 16, 8 ...

If you mean any 3 terms then 4096 1024 and 256 qualify.

6 0
3 years ago
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Which statement could be used to prove to provide that the function f(x)= -4x+6 grows by equal differences over any x-interval o
Ivahew [28]

Find the Greatest Common Factorthe largest number that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is <span>22</span>.
the highest degree of <span>xx</span> that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is 1, since <span>xx</span> is not in every term.Multiplying the results above,
The GCF is <span>22</span>.

<span><span>2(<span><span>​2</span>​<span>​<span>4x</span></span><span>​​</span></span>−<span><span>​2</span>​<span>​6</span><span>​​</span></span>)

</span>
<span>−2(2x−3)</span>
</span>

3 0
2 years ago
Mr. Diaz changed his showerhead to conserve water and energy. The table below shows relationship between the amount of flow and
Advocard [28]
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1 year ago
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Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.
mafiozo [28]

Answer:

A = 4

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

y = \frac{2}{x}

y'=-2\cdot x^{-2}

The numerical value of the slope is:

y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}

The component of the y-axis is:

y = \frac{2}{9}

Now, the tangent line has the following mathematical model:

y = m \cdot x + b

The value of the intercept is found by isolating it within the equation and replacing all known variables:

b = y - m \cdot x

b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}

Thus, the tangent line is:

y = -\frac{2}{81}\cdot x + \frac{4}{9}

The vertical distance between a point of the tangent line and the origin is given by the intercept.

d_{y} = \frac{4}{9}

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

-\frac{2}{81}\cdot x + \frac{4}{9}=0

-\frac{2}{9}\cdot x + 4 = 0

x = 18

d_{x} = 18

The area of the triangle is computed by this formula:

A = \frac{1}{2}\cdot d_{x}\cdot d_{y}

A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )

A = 4

4 0
3 years ago
You have $35 to spend on candy and soda is $0.75 each. Assume x represents the amount of candy and y is the amount of sodas purc
sukhopar [10]
<h3>Answer:</h3>

x + 0.75y = ≤ 35

<h3>Explanation:</h3>

The amount of candy purchased, plus the amount of soda purchased times the amount per soda must be less than or equal to 35.

<em>I hope this helps, let me know if it's wrong though.</em>

7 0
3 years ago
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