Answer:
AED means the entire angle
I AEB is 29 degrees and BEC is 12 degrees, the 29+12=41 degrees.
x=89-41
x=48 degrees
hope it helps :)
Answer:
<h2> 52 chickens</h2>
Step-by-step explanation:
Step one:'
given
we are told that the total number of animals is 169
the ratio of horses to chickens= 9:4
total ratio= 13
Required:
number of chickens
Applying part to all principle, let the number of chickens be x
4/13=x/169
cross multiply
4*169=13*x
divide both sides by 13
x=4*169/13
x=676/13
x=52
There are 52 chickens
Answer is <span>16y + 7z
</span><span><span><span><span>9y</span>+<span>11z</span></span>+<span>7y</span></span>−<span>4z
</span></span><span>=<span><span><span><span><span>9y</span>+<span>11z</span></span>+<span>7y</span></span>+</span>−<span>4z
</span></span></span>Combine Like Terms:
<span>=<span><span><span><span>9y</span>+<span>11z</span></span>+<span>7y</span></span>+<span>−<span>4z
</span></span></span></span><span>=<span><span>(<span><span>9y</span>+<span>7y</span></span>)</span>+<span>(<span><span>11z</span>+<span>−<span>4z</span></span></span>)
</span></span></span><span>=<span><span>16y</span>+<span>7z</span></span></span><span>
</span>
Answer:
1,005.84 cm
Step-by-step explanation:
Given the unit fractions, 36 in/1 yd (i.e. 36 inches = 1 yard), and 2.54 cm/1 in (i.e. 2.54 cm = 1 inches), to convert 11 yd to cm, first convert to inches, then convert what you have in inches to cm.
Thus:
Converting 11 yd to inches:
36 in = 1 yd
11 yd = 36*11 = 396 in
Converting 396 in to cm:
2.54 cm = 1 in
396 in = 2.54*396 = 1,005.84 cm
Answer:
a) 
b) 
Step-by-step explanation:
Part a
Since the buoy oscillates in simple harmonic motion the equation to model this is given by:
For this case from the info given we know that:
"It returns to its high point every 10 seconds." That means period =10 
, and the angular frequency can be founded like this:
Assuming that the value for the phase is 
our model equation is given by:
Part b
From definition we can obtain the velocity with the derivate of the position function and if w calculate the derivate we got this:
