Can anyone help me with 15-16? It’s for my geometry homework please
1 answer:
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The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus,
Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
Answer and Step-by-step explanation: Congruent triangles are triangles with the same three sides and same three angles.
There many ways to determine if 2 triangles are congruent.
One of them is <u>ASA</u> or <u>Angle, Side, Angle</u> and it means that if two angles and the included side of one triangle are equal to the corresponding angles and side on the other triangle, they are congruent.
In this case, angle MRQ and angle NQR are equal. The included side of both triangles are the same QR, so it can be concluded that <em><u>triangle QNR is congruent to triangle RMQ.</u></em>
The image in the attachment shows the angles and their included side, which are colored.
