Help please ASAP thank you
1 answer:
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Okay, think of it as a pie. They ate 3/4 of the pie, leaving 1/4. Then that 1/4 was cut into 6/6, and 1/6 was eaten. So there were 5/6 left of that 1/4. Your pie has 4 quarters, and each is made up of 6 mini pieces, so 6 x 4 = 24. There were 24 little 1/6 pieces at the beginning when your lasagna pie was whole. Now, at the end, you have 5 of them left. So you have five of the original 24—
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Answer:
X=6
Step-by-step explanation:
We need to remember the theorem that Tangent always makes a right angle at the point of contact with the circle.
Given details-
PQ=9= circle radius
QR=12
As given in the question
PQ is the radius
PQ=PY (since both are the radius to the circle)
⇒If the line QR = tangent than ∠ PQR must be 90°
Hence Δ PQR is a right-angled triangle with hypotenuse PR
PQ²+QR²=PR² (Pythagoras theorem)
∴Substituting the value of PQ, QR
⇒We get (9)² +(12)² = PR²
PR²= 225
⇒PR=15
As clear in figure PR= PY+YR
∴15=9+x
⇒ YR(x)= 6cm
Answer:
11.5 m
Step-by-step explanation:
The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...
Tan = Opposite/Adjacent
The lengths of the adjacent sides of the triangle can be found by rearranging this formula:
Adjacent = Opposite/Tan
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The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:
h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle
h(1/tan(25°) -1/tan(50°)) = 15
h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)
h ≈ 11.4907 . . . . meters
The height of the tree is about 11.5 meters.
