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labwork [276]
3 years ago
5

. In the problem 4 × 12 = 48, which numbers are the factors?

Mathematics
2 answers:
Ivahew [28]3 years ago
8 0
The answer is 4 and 12
Nimfa-mama [501]3 years ago
8 0
4 and 12 are the factors.
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A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1960 mailboxes t
MaRussiya [10]

Answer:

  7088 m²

Step-by-step explanation:

The area of the half-cylinder is half the area of a cylinder with the same dimensions. This half-cylinder has a radius of 0.3 m and a length of 0.8 m, so its area is ...

  A = πr(r +l) = π(0.3 m)(0.3 m+0.8 m) = 0.33π m² ≈ 1.0362 m²

The area of the bottom part of the box is the sum of its lateral area and its base area.

  lateral area = Ph = (2(0.6m +0.8m))(0.75 m) = 2.1 m²

  base area = lw = (0.8 m)(0.6 m) = 0.48 m²

The total area is then ...

  total area = half-cylinder area + lateral area + base area

  = 1.0362 m² +2.1 m² +0.48 m²

  = 3.6162 m²

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The area for 1960 mailboxes will be 1960 times this area, or ...

  area for week's production = 1960 × 3.6162 m² = 7087.752 m²

It will take about 7088 square meters of aluminum to make these mailboxes.

5 0
3 years ago
How many times bigger is 80000000 than 20000
Elis [28]
Answer:
4000 times greater
8 0
3 years ago
Read 2 more answers
Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.
slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite²   (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse  (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0
3 years ago
Find the slope.<br> (if it's a fraction with a whole number, write it as an improper fraction)
tiny-mole [99]

As you can see, every time x increases by 2, y decreases by 5.

So, we have

m=\dfrac{\Delta y}{\Delta x}=\dfrac{-5}{2}=-2\dfrac{1}{2}

6 0
3 years ago
A boy leaves on a bicycle trip at the rate of 8 mph. One hour later the father, realizing that his son forgot his camping
KatRina [158]

Answer:

40 mph

Step-by-step explanation:

One hour includes 60 minutes

8/60=0.13(3 repeating)

You only need 15 minutes of time

0.13(3 repeating)*15=2

8+2=10 miles

15 minutes is 1/4 of an hour

10*4=40 mph

6 0
3 years ago
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