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DiKsa [7]
3 years ago
15

A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that c

an be loaded into the container is 26000 kilograms. Other shipments weighing 13200 kilograms have already been loaded into the container. What is the greatest number of 60-kilogram crates that can be loaded into the shipping container?
Mathematics
1 answer:
Ne4ueva [31]3 years ago
4 0

Answer:

213 crates

Step-by-step explanation:

There is enough space for 26000 kg - 13200 kg = 12800 kg. Divide this by 60 and you get 213 and 1/3. You cannot put 1/3 of a crate, so it is 213 crates.

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PLEASE HELP I WILL GIVE 50 POINTS
vodka [1.7K]
32 + 72 = 104
4 + 9 = 13 
104 / 13 = 8
your answer would be 8
7 0
3 years ago
Read 2 more answers
The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please
Hitman42 [59]

Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx

We let the substitution take place.

Therefore, we let u = 1 + 4x^{2}

Thus, du = 8dx.

So,

xdx = \frac{1}{8}du

Also, the interval of the integration changes to [ 37, 65]

Thus,

S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx

= \frac{1}{6} [ 65^{\frac{3}{2}-37^{\frac{3}{2} }  }

= 156.5 units²

8 0
3 years ago
Find the exact value of the trigonometric function
velikii [3]

Answer:

2  

Step-by-step explanation:

Step 1. <em>Find a coterminal angle that falls be 0 and 2π. </em>

Remember that cscθ is a periodic function. It repeats every 2π radians.

If n is an integer, cscθ = csc(θ ± 2πn)

csc(17π/6) = csc(12π/6 + 5π/6)

                = csc(2π + 5π/6)

                = csc(5π/6)

Step 2. <em>Use the unit circle to evaluate cscθ. </em>

cscθ = 1/sinθ

Let θ = 5π/6

In a unit circle (below), the sine of an angle is y.

sinθ = ½

cscθ = 1/sinθ

        = 1/(½)

        = 2

3 0
4 years ago
What is the equation of the line that passes through the point (-2,3) and is parallel to the line whose equation is y = 3/2x - 4
Kisachek [45]

Answer:

y = 3/2x + 6

Step-by-step explanation:

y = 3/2x - 4

y-intercept through point (-2, 3):

3 = 3/2(-2) + b

3 = -3 + b

b = 6

Equation of line:

y = mx + b

y = 3/2x + 6

**Parallel line share the same slope, in this case 3/2.

8 0
3 years ago
What is 7 1/5 as a decimal
harina [27]
7 1/5 = 7 + 1/5

= 7/1 + 1/5

= (7/1 * 5/5) + 1/5

= 35/5 + 1/5

= 36/5

= 36 ÷ 5

= 7.2

5 0
3 years ago
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