Answer:
US is parallel to RT, and UR is parallel to ST
ST is perpendicular to US and UR is perpendicular to RT
Basically anywhere that there's lines that make right angles are perpendicular to each other
I hope this helps
Step-by-step explanation:
<span>Sphere Volume = </span><span> 4/3 • <span>π <span>• r³<span>
Small Balloon = </span></span></span></span><span>4/3 • 3.14<span> <span>• 3^3
</span></span></span><span>Small Balloon = 37.68 cc
Large Balloon = </span><span>4/3 • 3.14<span> • 6^3</span></span>
Large Balloon =
<span>
<span>
<span>
904.32
</span>
</span>
</span>
cc
<span>
<span>
<span>
<span>
Difference = (904.32 -</span></span></span>37.68) = </span>
<span>
<span>
<span>
866.64
</span>
</span>
</span>
cc
The larger balloon has
<span>
<span>
<span>
866.64
</span>
</span>
</span>
cc more water than the small balloon.
Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be
rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is

Taking the first derivative of this with respect to
and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of
w.r.t
is

And setting this = 0 gives

Eliminating
on both sides and solving for
gives us
Plugging this value of
into the original equation gives us

This is the maximum value that the function can acquire. The attached graph shows this as correct
Answer:
the third one
Step-by-step explanation:
Answer:
hey hope this helps
<h3 /><h3>Comparing sides AB and DE </h3>
AB =


DE

So DE = 2 × AB
and since the new triangle formed is similar to the original one, their side ratio will be same for all sides.
<u>scale factor</u> = AB/DE
= 2
It's been reflected across the Y-axis
<em>moved thru the translation of 3 units towards the right of positive x- axis </em>
for this let's compare the location of points B and D
For both the y coordinate is same while the x coordinate of B is 0 and that of D is 3
so the triangle has been shifted by 3 units across the positive x axis