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aleksklad [387]
3 years ago
10

I just need help with this problem

Mathematics
1 answer:
sashaice [31]3 years ago
5 0
Keeping in mind that the area of a circle is πr².

the actual area will just be the area of the rectangular backyard plus the pool, namely (10*20) + (π15²), which gives us an actual area of 200 + 225π.

now, we know the model and actual are on a 1:20 ratio.

\bf \cfrac{model}{actual}\qquad 1:20\qquad \cfrac{1}{20}\qquad \qquad \cfrac{m}{200+225\pi }=\cfrac{1}{20}
\\\\\\
m=\cfrac{(200+225\pi )1}{20}\implies m=\cfrac{200+225\pi }{20}\implies m=\cfrac{200}{20}+\cfrac{225\pi }{2}
\\\\\\
m=10+112.5\pi
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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
Can someone please help me with this I will give brainliest
IrinaK [193]

Answer:

Step-by-step explanation:

2(2x +4) - 2x = x + 18

4x +8 -2x = x +18

2x -x = 18-8

X = 10

Put the value of x in both side

Left side *+*+*+*+*+

2 ( 2*10+4)-2*10

48-20 = 28

Right side +*+*+*+*+*

X + 18

10+ 18 = 28

Mark it as Brainlist. Follow me for more answer

4 0
2 years ago
If 433 = 100% then what percent does 383 equal
Goryan [66]

Answer:

88.46%

Step-by-step explanation:

433 - 383 = 50

50 ÷ 433 = 0.1154

0.1154 x 100 = 11.54%

100% - 11.54% = 88.46%

<u>Check work:</u>

433 x 88.46% = 383

5 0
2 years ago
Write 0.0000004954 in scientific notation.
SCORPION-xisa [38]
By scientific notation I am assuming you mean standard form, as that is used primarily in scientific calculations. The answer in standard form would be
4.954 \times  {10}^{ - 7}
I hope this helps!

4 0
3 years ago
Read 2 more answers
5(t+3)=-3.5 solve for t
mestny [16]

Answer: t=−3.7

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

8 0
3 years ago
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