Answer:
Altitude of the jet is 10.40km
Step-by-step explanation:
The angle of elevation = 8°
Horizontal distance (adjacent to the angle) = 74km
Altitude of the plane (opposite) = ?
Kindly check attached document for better illustration.
To solve this question, we have to use tangent rule since we have adjacent and angle, but no opposite.
Tanθ = opposite / adjacent
θ = 8°
Adjacent = 74km
Opposite = ?
Tan 8 = x / 74
Opposite = 74 * tan8
Opposite = 10.40
The altitude of the jet is 10.40km
Answer:
<em>a) </em>
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<em>b) p is in the interval (-4,4)</em>
Step-by-step explanation:
<u>Quadratic Equation</u>
It's given the following quadratic equation:
a)
It's required to complete squares and find the roots. This can be done by recalling the polynomial identity:
We already have the first term squared, and we need to find the second term. Rewriting the equation:
The second term of the binomial is 1/2p, thus completing the squares with :
Factoring:
Moving the independent term to the right side:
Taking the square root:
Solving for x:
b) If the equation won't have real roots, then the radicand should be negative:
Factoring:
The zeros of the left-side polynomial are:
p = 4
p = -4
The inequality:
Is satisfied for values of p in the interval (-4,4)
Answer:
x=77
Step-by-step explanation:
77-31=46
Answer:
The median/middle is 5 and the minimum is 0 and the maximum is 11. The first quartile is 7/5= 1.4 and the second is 4/2 = 2
Step-by-step explanation: