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FrozenT [24]
3 years ago
14

For the parallelogram, if m<2=5x-28 and m<4=3x-10, find m<3​

Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0
5x-28=3x-10
X=9
5*9-28=40
360-40-40=280
280/2=140=m<3
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Evaluate.
kogti [31]
9/10 - 2/5 + 1/3

= 5/6 (Decimal:  0.8333333)


Subtract:
9/10 - 2/5 = 9/10 - 2 . 2/5 . 2
= 9/10 - 4/10 
= 9 - 4/10 
= 5/10 
= 1/2

The common denominator you can calculate as the least common multiple of the both denominators LCM ( 10, 5) = 10


Add: 1/2 + 1/3 = 1 . 3/2 . 3 + 1 . 2/3 . 2 
= 3/6 + 2/6 
= 3 + 2/6 

= 5/6



The common denominator you can calculate as the least common multiple of the both denominators LCM ( 2, 3) = 6

Answer in Lowest term is:  5/6 or Decimal:  0.8333333




Hope that helps!!!




7 0
3 years ago
I’ll give brainliest!!
nignag [31]

Answer:

If A is wrong then B I think

Step-by-step explanation:

3 0
3 years ago
A 30-N stone is dropped from a height of 10 m and strikes the ground with a speed of 13 m/s.
Anon25 [30]

Answer:

4.1 N

Step-by-step explanation:

We can solve this problem by using considerations about energy.

At the moment the stone is dropped, it has only gravitational potential energy:

PE=mgh

where

mg=30 N is the weight of the stone

h = 10 m is the initial height of the stone

As the stone falls, part of this energy is converted into kinetic energy, while part into thermal energy due to the presence of the air friction, acting opposite to the motion of the stone:

KE+E_t = \frac{1}{2}mv^2 + E_t

where:

m=\frac{mg}{g}=\frac{30}{9.8}=3.06 kg is the mass

v = 13 m/s is the final speed of the stone

E_t is the thermal energy

The thermal energy is actually equal to the work done by the air friction on the stone:

E_t=W=Fh

where

F is the average force of friction

h = 10 m

Since the total energy must be conserved, we can combine the three equations, so we find:

mgh=\frac{1}{2}mv^2+Fh

And solving for F, we find the average force of air friction:

F=\frac{mgh-0.5mv^2}{h}=\frac{(30)(10)-0.5(3.06)(13)^2}{10}=4.1 N

3 0
3 years ago
What is the expanded form of 3x(x+3)^2?
Dominik [7]
We need to expand the square binomial and then multiply:
<span>3x(x + 3)^2
= 3x(x + 3)</span>(x + 3<span>)
= 3x(x^2 + 6x + 9)
= 3x^3 + 18x^2 + 27x</span>
7 0
3 years ago
True or false the order of magnitude for the population of the United States is 4
ad-work [718]

Answer:

  False

Step-by-step explanation:

Order of magnitude can mean different things in different contexts. In math, when we talk about order of magnitude, we generally mean the base-10 logarithm.

__

<h3>population order of magnitude</h3>

The population of the US is estimated at about 3.32×10^8 on 1 Jan 2022. The base-10 log of this number is about 8.52.

The order of magnitude of the US population is about 8.5, not 4.

7 0
2 years ago
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