Answer:
X=140/3
Step-by-step explanation:
180-40=140, 140 divided by 3 is 140/3, so 40+3x140/3=180
The angle of elevation of the sun from the ground to the top of a tree is 36°.
We are given that:
The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.
Now by using the trigonometric identity .
tan θ = P / B
As figure is given below .
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Putting all the values in the trigonometric identity .
tan θ = 10 / 14
θ = 36°
Therefore, the angle of elevation of the sun from the ground to the top of a tree is 36°.
Learn more about angle of elevation here:
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Answer:
p = 11.2
Step-by-step explanation:
2.6(5.5p - 12.4) = 127.92
14.3p - 32.24 = 127.92
Add 32.24 to both sides
14.3p = 127.92 + 32.24
14.3p = 160.16
Divide both sides by 14.3 (the coefficient of p)
p = 11.2
The perfect squares on either side of 21 are 16 and 25 of which the roots are:
4 and 5
Leroi’s account
$100
After first deposit = $100+$10=$110
After second deposit= $110 + $10 = $120
Sylvia’s account
$100
10% of $100 is $10
After first deposit = $100+ $10 = $110
10% of $110 = $11
After second deposit = $110 + $11 = $121
Therefore after their first deposit, both will have the same value in their accounts.
But after the second deposit, Sylvia will have 1$ more in her account than Leroi.