The tree is 52.8 feet, since the hypotenuse is only part of the tree, you have to add 12, since then it would equal the total height of the tree.
a^2+b^2=c^2
12^2+ 39^2=c^2
144+1521= 1665
√1665
= 40.8
40.8 + 12
= 52.8 feet
Answer:
Solution
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m
2
−3m−1=0
m
2
−3m=1 → (1)
Third term =(
2
1
coeeficientofm)
2
(
2
1
×(−3))
2
=(
2
−3
)
2
=
4
9
Adding
4
9
to both sides of equation (1), we get
m
2
−3m+
4
9
=1+
4
9
∴ m
2
−3m+
4
9
=
4
4+9
∴ (m−
2
3
)
2
=
4
13
Taking square roots on both sides
∴ m−
2
3
=±
2
13
∴ m=
2
3
+
2
13
or m=
2
3
−
2
13
m=
2
3+
13
,
2
3−
13
are the roots of the given quadratic equation.
Answer:
The answer to your question is: B and D are correct
Step-by-step explanation:
Remember that the sum of the internal angles in a triangle equals 180°.
The sum of supplementary angles equals 180°
Then
(6x + 1) + (4x + 5) + [180 - (8x + 30)] = 180
6x + 1 + 4x + 5 + [180 - 8x - 30] = 180
10x + 6 + 150 - 8x = 180
2 x = 180 - 156
2x = 24
x = 24/2
x = 12
∠JKL = 4(12) + 5 = 48 + 5 = 53
∠KJL = 6(12) + 1 = 72 + 1 = 73
∠KLJ = 180 - 73 - 53 = 54
∠KLM = 126
