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kompoz [17]
3 years ago
13

If line a is parallel to line c, and line c is parallel to line f, and lines c and f are different lines, which of the following

statements is true?
Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0
Hi Jeison,

So I'll number your statements 1-4.

Since line a is parallel to line c, and line c is parallel to line f, that means that line a is parallel to line f, or the 3rd Statement. 

-Hope this helps!
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Given a = 4, b = -2 and c = 8, evaluate ab - bc.<br><br> -24<br> -4<br> 8
Mrac [35]
(4*-2)-(-2*8)=
-8--16=8
8 0
3 years ago
If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a
ycow [4]
<span> we know the length of the cable is 9m.
That means the magnitude of  </span><span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span><span> divided by the magnitude.

</span>u=<span>(<span>​​<span>​x/9</span><span>​​</span></span>i−<span>​y/9<span>​​</span></span>j−<span>​z/9<span>​​</span></span>k<span>)

</span></span><span>We can also figure out the unit vector of F. 
</span>u=​(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
</span>(​​​x/9​​i−​y/9​​j−​z/9​​k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m

The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
6 0
3 years ago
Can someone explain me to me how to solve this
matrenka [14]

Answer:

4/10 or simplified to 2/5

Step-by-step explanation:

when dividing fractions by a whole number, you want to imagine the whole number as a fraction. which would be 2/1. So you want to use the reciprocal of 2/1 which is 1/2. Then you multiple 4/5 by 1/2 which is 4/10 or simplified to 2/5 hope this helps :)

4 0
3 years ago
A man was traveling by air is allowed a maximum of 20kg luggages .The man has four bags weighing 3.5kg ,15 kg ,2kg and 1.5kg .Fi
KatRina [158]

Answer:

See explanation

Step-by-step explanation:

Maximum weight = 20 kg

Bag 1 = 3.5kg

Bag 2 = 15 kg

Bag 3 = 2kg

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Total weight of bags = 22 kg

Excess weight of his luggage = Total weight of bags - Maximum weight

= 22 kg - 20 kg

= 2 kg

Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100

= 2/20 × 100

= 0.1 × 100

= 10%

Express the excess weight as a percentage of his maximum weight allowed = 10%

5 0
3 years ago
In Will’s garden, 71 out of 200 plants have developed seeds. Which is closest to the percent of his plants that have developed s
Olenka [21]
Maybe D or C umm mmh
5 0
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