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Pavel [41]
3 years ago
14

A storage container is rectangular and has a length of 15ft and a width of 4ft. It will hold 270 cubic feet of materials. What i

s the height of the storage container?
The height of the storage container is _______ feet.
Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

Volume of a rectangular prism = l × w × h.

In this case,

V = 270 cubic feet

l = 15 feet

w = 4 ft

h = ?

Plug our values into the volume formula.

270 cubic feet = 15 feet × 4 feet × h.

Simplify the right side

270 = 60 × h.

Divide each side by 60.

4.5 = h

The height is 4.5 feet.

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I need help on this 2 problems please help​
Digiron [165]

Answer:

3. 294 m²

4. 185,856 mm²

Step-by-step explanation:

To find the surface area of any figure, you can simply find the sum of the areas of all the sides.  In question 3, the figure is a triangular prism that has two triangular bases and three rectangular sides.  The measurements for the triangles are b = 9m and h = 6m.  The formula for the area of a triangle is base times height divided by 2, or 9 x 6 = 54/2 = 27 m². However, since there are two triangular bases, the area for both is 54 m².  The measurements for the other three rectangles are given:

7(10) + 8(10) + 9(10) = 240 m² + 54 m² = 294 m²

The surface area of a cube is much easier since all sides are equal and can be found using the formula:

SA = 6s², where 's' represents the measure of a side.

SA = 6(176)² = 185,856 mm²

6 0
3 years ago
Find a compact form for generating functions of the sequence 1, 8,27,... , k^3
pantera1 [17]

This sequence has generating function

F(x)=\displaystyle\sum_{k\ge0}k^3x^k

(if we include k=0 for a moment)

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k

Take the derivative to get

\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k

\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k

Take the derivative again:

\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k

\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k

Take the derivative one more time:

\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k

\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k

so we have

\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}

5 0
3 years ago
Traeq pays 35.34 for 3.1 pounds of salmon. What is the price per pound of salmon
Morgarella [4.7K]
$11.40 because you just divide 35.34 by 3.1
3 0
3 years ago
What type of roots will you have if the discriminant is: 36
Paul [167]

Answer:

2 real roots

Step-by-step explanation:

If the discriminant is any positive number, that means the quadratic will have 2 real roots, or solutions.

Since the discriminant, 36, is a positive number, this will apply.

So, if the discriminant is 36, there will be 2 real roots.

4 0
3 years ago
Read 2 more answers
A smartphone costs ​$120. Sales tax is 55​%. What is the total​ cost, including​ tax?
hjlf
You multiply  $120 by .55 to get the cost for tax which is $66 you add that to $120 to get $186
6 0
3 years ago
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