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2 answers:
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Answer:
k=3
Step-by-step explanation:
+ we note f(p)=
+ Because of "p-1 is a factor of f(p)", that means f(p)= (p-1)* g(p)
Then we have f(1)= (1-1)*g(1)= 0* g(1)= 0
+ We replace p=1 in f(p) and we have:
f(1)=0
that means:
then 1+1+1-k = 0, 3-k=0 or k=3
Hope that useful for you.
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
Step-by-step explanation:
The given is,
In ΔWXY, ∠Y=90°
XW = 53
YX = 28
WY = 45
Step:1
Ref the attachment,
Given triangle XWY is right angled triangle.
Trigonometric ratio's,
∅
For the given attachment, the trigonometric ratio becomes,
∅
.....................................(1)
Let, ∠X = ∅
Where, XY = 28
XW = 53
Equation (1) becomes,
∅
∅ = 0.5283
∅ = (0.5283)
∅ = 58.109°
Result:
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
<u>Given:</u>
The angle of elevation from the point on the ground to the top of the tree is 34° and the point is 25 feet from the base of the tree.
We need to determine the height of the tree.
<u>Height of the tree:</u>
Let the height of the tree be h.
The height of the tree can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Multiplying both sides by 25, we have;
Rounding off to the nearest tenth of a foot, we get;
Thus, the height of the tree is 16.9 feet.
Hence, Option B is the correct answer.