Answer:
(i): A triangle where all three sides are equal and the same.
(ii): A triangle where all three sides are unequal in length.
(iii): A triangle that has two sides of equal length.
(iv): A triangle where all three internal angles are acute(they measure less than 90 degrees.
(v): A triangle where all three internal angles are obtuse(measure above 90 degrees).
(vi): A triangle where one internal angle is a right angle(90 degrees).
Hope this helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
u = 1, 0, -4
In unit vector notation,
u = i + 0j - 4k
Now, to get all unit vectors that are orthogonal to vector u, remember that two vectors are orthogonal if their dot product is zero.
If v = v₁ i + v₂ j + v₃ k is one of those vectors that are orthogonal to u, then
u. v = 0 [<em>substitute for the values of u and v</em>]
=> (i + 0j - 4k) . (v₁ i + v₂ j + v₃ k) = 0 [<em>simplify</em>]
=> v₁ + 0 - 4v₃ = 0
=> v₁ = 4v₃
Plug in the value of v₁ = 4v₃ into vector v as follows
v = 4v₃ i + v₂ j + v₃ k -------------(i)
Equation (i) is the generalized form of all vectors that will be orthogonal to vector u
Now,
Get the generalized unit vector by dividing the equation (i) by the magnitude of the generalized vector form. i.e

Where;
|v| = 
|v| = 
= 
This is the general form of all unit vectors that are orthogonal to vector u
where v₂ and v₃ are non-zero arbitrary real numbers.
Answer:
1. 5700mg
2. 1000cm
3. 0.0453m
4. 37.5 kg/L
Step-by-step explanation:
1. 1gram (g) =1000milligrams(mg)
5.70×1000=5700mg
2. 1 m= 100cm
10×100=1000cm
3. 1000mm=1m
45.3/1000=0.0453m
4. 1000g=1kg
37.5/1000=0.0375
1000ml=1L
1ml= 1/1000= 0.001L
0.0375/0.001= 37.5 kg/L
Given:
40 pages in 1.6 minutes
40 / 1.6 = 25 pages per minute
25 x 5 minutes = 125 pages
40 / 1.6 = x / 5
40*5 = 1.6x
200 = 1.6x
200/1.6 = x
125 = x pages
25 : 1 = 150 : x
25x = 150
x = 150/25
x = 6 minutes
Answer:
0.4
Step-by-step explanation:
hope this helps :)