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Reika [66]
3 years ago
6

The vertices of AXYZ are X(-4, 7), Y(0, 8), and Z (2, -1).

Mathematics
1 answer:
lisov135 [29]3 years ago
3 0
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A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage
svp [43]

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.

8 0
4 years ago
Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?
vodka [1.7K]

Answer: (h)q^3

Step-by-step explanation:

4 0
3 years ago
In the contiguous United States, the ratio of states that border an ocean to states that do not border an ocean is 7:9. How many
Luda [366]

Answer:

21

Step-by-step explanation:

The contiguous U.S. consist of all states beside Alaska and Hawaii; therefore, there are 48 contiguous U.S. states. However, the ratio given to us only consists of 16 states [7 + 9 = 16]. If we need to expand the ratio, we multiply 16 by 3 to get 48. Thus, we also multiply each of the terms by 3, and the ratio becomes 21:27. Therefore, the number of contiguous U.S. states that border an ocean is 21.

3 0
3 years ago
Read 2 more answers
Given TT = 3.142 the volume of the r = 4cm and h=8cm,Find the volume of the cone.​
irakobra [83]

the volume of the cone.​

1/3 pi r^2h

4 0
3 years ago
Read 2 more answers
A bookstore is having a 30% off sale diary of a wimpy kid books are now $6.30 each what was the original price of the books
Maslowich

Answer:

$8.19

Step-by-step explanation:

because when you do this you want to add 30 to 6.30 and move the decimal 2 numbers over

3 0
3 years ago
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