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3 years ago

A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage

Mathematics

1 answer:

svp [43]3 years ago

8 0

Answer:

5817 Newtons.

Step-by-step explanation:

Total mass of the cage + the miners = 700 Kg which is a downward force of 700g N.

The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.

We calculate the acceleration of the cage by using an equation of motion:

Distance = ut + 1/2 a t^2 where u = initial velocity , t = time and a = acceleration:

75 = 0(t) + 1/2 a (10^2)

50a = 75

a = 1.5 m s-2.

So using Newtons second law of motion

Force = mass * acceleration:

700*9.81 - T = 700 * 1.5

T = 700 * 9.81 - 700*1.5

= 5817 N.

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The side of an Equileteral triangle is 12cm. What is its Area?

elena55 [62]

Answer:

A = 62.35 cm²

Step-by-step explanation:

Use the area formula A = $\frac{\sqrt{3}a^2}{4}$ , where a is the side length.

Plug in the values:

A = $\frac{\sqrt{3}(12^2)}{4}$

A = $\frac{\sqrt{3}(144)}{4}$

A = 62.35 cm²

3 0

3 years ago

I need help i dont understand this,and j have and i have a big test coming up please help thanks

levacccp [35]

Since both of the angles are supplementary, you'd set the expressions up into an equation equal to 180(degrees).
So, your equation should look like:
                       22x + 4 + 35x + 5 = 180.
Next, you combine your like terms so that your next move will look like:
                       57x + 9 = 180.
Then you'd follow the subtraction and division property, so your next moves will look as the following:
                       57x + 9 - 9 = 180 - 9 equals 171
                       57x / 57 = 171 / 57 equals 3
So, finally, your answer is: x = 3.

7 0

3 years ago

3rd question, I’m sorry guys but I was sick that’s why I didn’t attend school and the teacher said if I didn’t submit it by 5 ho

aniked [119]

Answer:

21. ΔUYZ Obtuse

22. ΔBCD Right or Rectangle

23. ΔADB Acute

24. ΔUXZ Acute

25. ΔUWZ Right or Rectangle

26. ΔUXY Equiangular and acute

Step-by-step explanation:

We need to classify each triangle by its angles.

Acute: They have 3 acute angles (less than 90 degrees).

Rectangle: The inner angle A is straight (90 degrees) and the other 2 angles are sharp. The sides that form the right angle are called legs (c and b), the other side hypotenuse.

Obtuse: The inner angle A is obtuse (more than 90 degrees). The other 2 angles are acute.

ΔUYZ Obtuse The inner angle Y is obtuse (more than 90°).

ΔBCD Right or Rectangle The inner angle C is straight (90°).

ΔADB Acute It has 3 acute angles (less than 90°).

ΔUXZ Acute It has 3 acute angles (less than 90°).

ΔUWZ Right or Rectangle The inner angle W is straight (90°).

ΔUXY Equiangular and acute Which means all the inner angles are equal (60°).

3 0

2 years ago

7 8 9 10 11 12 13 14 15 plz that is all but I don't get it and my math teacher sucks so when you tell me the answers can you sho

ohaa [14]

The formula for area is pi x r^2 (pi times radius squared) so, for number 7 youre given the radius or "r", which is half the length of the inside of the cirlce. On a calculator: you would do 8 times 8 (8^2) because that's the radius squared and then you should get 64 and times 64 by 3.14 or use the pi button depending on what your teacher prefers you to use.

When you're given diameter or "d" which represents the is equal to the radius times 2. So, for example, number 8 the diameter is 26 so, the radius is 13. Use the formula for area just like in number 7 to find the area of this circle.

Make sure you pay attention to what information youre given (whether its "d", Diameter, "r" or radius. Use those two lists of steps for solving numbers 7 through 12.

For numbers 13-15: use the number (22/7) instead of 3.14 or the pi button on your calculator and do the same steps!!!!!

Let me know if you still need help after this:) happy math solving!

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2 years ago

Answer.

Neporo4naja [7]

Answer:

a. all matter is made of atoms

b. atoms are indivisible and indestructible

c. atoms of given elements are identical in mass and properties

d. compounds are combination of 2> different types of atoms

2. it's called Planetary model

4 0

2 years ago

Read 2 more answers