V = 1/3Bh
B = 1/2(b1 + b2)t
V = 1/3[1/2(b1 + b2)t] * h
h = 24
b1 = 13
b2 = 29
t = ?
V = 2856
Substitute:
2856 = 1/3[1/2(13 + 29)t](24)
2856 = 1/6(42)(24)t
2856 = 7(24)t
2856 = 168t
t = 2856/168 = 17 in height of the trapeziod
Answer:
yvaires directly as x means
y=kx
y varies inversly with z means
y=k/z
therfor
y=(kx^2)/z
k=constant of variation
6=(k9^2)/27
6=(k81)/27
6=3k
divide both sides by 3
2=k
the constant of variation is 2
Step-by-step explanation:
Answer:
A) 
Step-by-step explanation:
in a 30-60-90 triangle the sides, respectively, are in the ratio of 1 : : 2
The measure of angle BC (m ∠BC) is 90°
<h3>Perpendicular lines</h3>
From the question, we are to determine the measure of angle BC
From the given information, we have that
B P ⊥ P C
This means line BP is <u>perpendicular</u> to line PC
The angle between two perpendicular lines is 90°
Hence, the measure of angle BC (m ∠BC) is 90°.
Learn more on Perpendicular lines here: brainly.com/question/138956
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That point will be where the perpendicular line through the origin intersects the given line.
.. (-1/4)x = 4x +3
.. -3 = (17/4)x
.. -12/17 = x
The point on the given line that is closest to the origin is (-12/17, 3/17).
