<h3>
Answer: The flagpole is <u>
16 feet tall</u></h3>
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Explanation:
The small markings for the angles in the diagram help us see how the angles pair up and how those pairs are congruent.
The square angle markers indicate we have 90 degree angles (aka right angles). That's one pair of congruent angles.
The other pair are the angles marked with small curves. We don't need to worry about the angle measure of these. All we care about is we have a second congruent pair of angles.
Having 2 sets of congruent angles allows us to use the AA (angle angle) similarity theorem.
The similar triangles allow us to set up the proportion below and isolate x.
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Let's solve for x.
6/x = 4.5/12
6*12 = x*4.5
72 = 4.5x
4.5x = 72
x = 72/(4.5)
x = 16
The flagpole is 16 feet tall.
This is somewhere between a 1 and 2 story building in terms of height.
The volume of a cuboid is given in terms of length, width, and height by ...
... V = LWH
Filling in the given numbers, we can solve for the height.
... 8100 in³ = (30 in)(15 in)H
Dividing by the coefficient of H, we have ...
... (8100 in³)/(450 in²) = H = 18 in
The chest will be 18 inches tall.
The answer is 1/3 or 0.3333
Answer:
A shipment of 150 bottles will weigh 120 pounds.
Step-by-step explanation:
Given that:
24 bottles of water weigh 30 pounds
Ratio of bottles to weight = 24 : 30
Number of bottles in shipment = 150
Weight of bottles = x
Ratio = x : 150
As the relation is proportional
24 : 30 :: x : 150
Product of mean = Product of extreme
30x = 24 * 150
30x = 3600
Dividing both sides by 30

Hence,
A shipment of 150 bottles will weigh 120 pounds.
The dish illustrates operations on a parabola.
The depth of the parabolish dish is 160 feet.
The bowl is said to be a parabola.
So, we have:

Where:


From the question, the diameter is 160 feet.
So, the radius (r) is:

So, the coordinate of the depth of the parabola would be:


Substitute these values in 
So, we have:


Divide both sides by 160

Rewrite as:

Hence, the depth of the parabolish dish is 160 feet.
Read more about parabolas at:
brainly.com/question/4074088