Answer:
10
Step-by-step explanation:
STUV is a parallelogram.
TV and SU are its diagonals intersecting at point N.
Diagonals of a parallelogram bisects each other.
Therefore, TN = NV
8 = x - 2
8 + 2 = x
10 = x
x = 10
Step-by-step explanation:
let no. of hours be x.
45x - 12 ≥ 117
45x ≥ 129
x ≥ 2.8667 (5sf)
therefore, 3 hours (round up to next whole number).
Topic: inequalities
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Answer:
4x-4/x^2
Step-by-step explanation:
So we can first write out the equation.
It would be:
8/2x-4/x^2
First we can get a common denominator:
8/2x*x^2/x^2=8x^2/2x^3
and
4/x^2*2x/2x=8x/2x^3
Now we have
8x^2/2x^3-8x/2x^3
or
8x^2-8x/2x^3
We can divide everything by x
8x-8/2x^2
divide everything by 2
4x-4/x^2
I think we're not supposed to do more than 3 problems in one answer; certainly not five pages. Does the 1/3 mean there are 10 more to come?
I'll do the first page.
6)
Right triangle, opposite side of 10, adjacent side of 21,
tan x = opp/adj = 10/21
x = arctan 10/21 = 25.46°
Answer: 25
7)
cos x = adj / hyp = 10/14
x = arccos 10/14 = 44.42°
Answer: 44
8)
tan x = opp/adj = 12/24 = 1/2
x = arctan 1/2 = 26.57°
Answer: 27
9)
tan x = 31/32
x = arctan 31/32 = 44.09°
Answer: 44
10)
x = arctan 10/27 = 20.32°
Answer: 20
