Its 8/10 or 12/15 because 4 times 2 is 8 and 5 times 2 is ten
The distance between the ground and the kite to the nearest foot is 64 ft.
<h3>What is a right angle triangle?</h3>
A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms a right angle triangle.
Hence,
The length of the kite string is the hypotenuse side of the triangle formed.
The height between the ground and the kite is the opposite side of the triangle formed.
Therefore, using trigonometric ratio,
sin 40 = opposite / hypotenuse
sin 40 = h / 100
cross multiply
h = 100 sin 40
h = 100 × 0.64278760968
h = 64.2787609687
h = 64 ft
Therefore, the distance between the ground and the kite to the nearest foot is 64 ft.
learn more on right triangle here: brainly.com/question/27482803
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a < -9
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
5*a+18-(-27)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
5a + 45 = 5 • (a + 9)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 5
Solve Basic Inequality :
2.2 Subtract 9 from both sides
a < -9
Answer:
x ≈ 1.32, x ≈ - 5.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± 
( subtract 2 from both sides )
x = - 2 ± 
Thus
x = - 2 - ≈ - 5.32 ( to 2 dec. places )
x = - 2 + ≈ 1.32 ( to 2 dec. places )
