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saul85 [17]
3 years ago
14

please calculate the volume of the cylinder below. use 3.14 as approximation for Pi. (MIDDLE SCHOOL MATH)​

Mathematics
1 answer:
Gnom [1K]3 years ago
3 0

the answer is V≈254.47

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A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i
lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

<em>Two triangles are similar when they have equal angles and proportional sides  </em>

It should be noted that to apply Thales' Theorem, it is necessary to establish <u>the two triangles are similar</u>, that is, that t<u>hey have the corresponding angles equal or that their sides are proportional to each other.  </u>

<u />

Now, if we measure the shadow of the flagpole and the shadow of the person, <u>at the same moment</u>, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where H is the height of the flagpole, h=6 ft is the height of the person, A=5 ft is the length of the shadow of the flagpole and a=1\frac{1}{2}=1.5 ft is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

\frac{H}{h}=\frac{A}{a}   (1)

We know all these lengths except H, which is the value we want to to find.  

So, in order to approach this problem we have to find H from equation (1):  

H=\frac{A}{a}h  

H=\frac{5 ft}{1.5 ft}(6 ft)  

Then:

H=20 ft >>>>>This is the height of the flagpole

4 0
3 years ago
Plz help it would mean a lot
lina2011 [118]

Answer:

proportional/equal

Step-by-step explanation:

doesnt need

6 0
3 years ago
-8 + 5x - 2 = 20 solve
vaieri [72.5K]

Combining like terms on the left-hand side gives us 5x-10=20. Adding 10 to both sides gives 5x=30, and dividing both sides by 5 gives our answer of \boxed{x=6}.

3 0
3 years ago
How could Brent use a rectangle to model the factors of x2 – 7x + 6?
Crank
<span> He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.</span>
6 0
3 years ago
Read 2 more answers
Charles has 2 2/3 ounces of seeds. He needs 4 4/5 ounces in order to complete the garden. How much more seeds he need?
yawa3891 [41]

Answer:

Charles need 3\frac{1}{5} more ounces of seeds.

Step-by-step explanation:

Given that:

Quantity of seeds Charles has = 2\frac{2}{3} = \frac{8}{3} ounces

Quantity of seeds Charles need = 4\frac{4}{5} = \frac{24}{5} ounces

Let,

x be the number of remaining seeds Charles need.

x = Seeds needed - Seeds Charles already have

x = \frac{24}{5}-\frac{8}{3}

x = \frac{72-24}{15}

x = \frac{48}{15}

x = \frac{16}{5}

x = 3\frac{1}{5} ounces

Hence,

Charles need 3\frac{1}{5} more ounces of seeds.

5 0
3 years ago
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