The value of the digit 2 in 425.3 is

Beginning with a regular hexagon, a 6-pointed star is formed by constructing equilateral triangles, whose sides are the same len

galina1969 [7]

Answer:

1/12

Step-by-step explanation:

6 0

2 years ago

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For each lettered part, a through c, examine the two given sets of numbers. without doing any calculations, decide which set has

romanna [79]

<span>Standard deviation shows the distribution present in a set. Range can be used to approximate this property. Therefore, Set b (100, 140, 150, 160, 200 10, 50, 60, 70, 110) has the largest standard deviation because it has a range of 190 (i.e. 200 - 10)</span>

5 0

2 years ago

Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.

Bogdan [553]

Answer:

6.75g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.0025kg to g

Each kg has 1000g, so:

1kg - 1000g

0.0025kg - xg

x = 1000*0.0025 = 2.5g

0.0025kg = 2.5g

Second step: 1750 mg

Each g has 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

$x = \frac{1750}{1000}$

x = 1.75g

1750 mg = 1.75g

2.25g - OK

Third step: 825,000 μg to g

Each g has 1,000,000 ug, so:

1g - 1,000,000 ug

xg - 825,000 ug

1,000,000x = 825,000

$x = \frac{825,000}{1,000,000}$

x = 0.25g

825,000 μg = 0.25g

Final step: adding everyting

0.25g + 2.25g + 1.75g + 2.50g = 6.75g

8 0

2 years ago

A construction crew wants to hoist a heavy beam so that it is standing up straight. ey tie a rope to the beam, secure the base,

Aliun [14]

Interesting problem ...

The key is to realize that the wires have some distance to the ground, that does not change.

The pole does change. But the vertical height of the pole plus the distance from the pole to the wires is the distance ground to the wires all the time. In other words, for any angle one has:

D = L * sin(alpha) + d, where D is the distance wires-ground, L is the length of the pole, alpha is the angle, and 'd' is the distance from the top of the (inclined) pole to the wires:

L*sin(40) + 8 = L*sin(60) + 2, so one can get the length of the pole:

L = (8-2)/(sin(60) - sin(40)) = 6/0.2232 = 26.88 ft (be careful to have the calculator in degrees not rad)

So the pole is 26.88 ft long!

If the wires are higher than 26.88 ft, no problem. if they are below, the concerns are justified and it won't pass!

Your statement does not mention the distance between the wires and the ground. Do you have it?

4 0

2 years ago

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An 8 ft length of 4 inch wide crown molding costs $14. how much will it cost to buy 40 ft of crown molding?

Firdavs [7]

Answer: $70

EXPLANATION

Given, for a 4 inch wide crown molding:

8 ft length costs $14

Cost of 40 ft length = ?

8 ft length costs $14

To find the cost of 1 ft length,

Divide through by 8

8ft/8 length costs $14/8

1ft costs $1.75

Now, to find the cost of 40 ft length

1ft costs $1.75

1 ft x 40 would cost $1.75

40 ft would cost $70

Therefore, it would cost $70 to buy 40 ft of crown molding

8 0

2 years ago