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Scilla [17]
3 years ago
10

A street light bulb is fixed on a pole 6m above the level of the street. If a women of height 1.5m casts a shadow of 3m, find ho

w far is she away from the base of the pole

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
3 0
The woman's shadow length is 2 times her height, so her distance from the light is 2 times the difference in height between her and the light bulb.

2×(6 m - 1.5 m) = 9 m


_____
A diagram can help you see the similar triangles.

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What are the following of this function y = 4sin (2( x - <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%5Cpi%20%7D%7B4%7D" id="Te
Andrei [34K]

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

y=A\sin\left(B(x-C)\right)

Amplitude: |A|

Period: \frac{2\pi}{B}

Phase Shift:  C

In this question, A=4,\,B=2,\,C=\frac{3\pi}{4}

Amplitude: 4

Period: \frac{2\pi}{2}=\pi

Phase Shift: \frac{3\pi}{4}

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.

The graph is attached.

6 0
3 years ago
What is the volume of this equation?
Pachacha [2.7K]

Answer:

Volume ≈ 33.33 cubic feet

Step-by-step explanation:

The question is:

<em>Find the volume of a right square pyramid with base square edges measuring 5 feet each and a height of the pyramid be 4 feet.</em>

<em />

So, the base is a square with side length 5 feet.

And the height of the pyramid is 4 feet.

The volume of a pyramid is given by the formula:

V=\frac{a^2 h}{3}

Where

a is the square base side length (given as 5)

h is the height of the pyramid (given as 4)

Now we substitute and find the value:

V=\frac{a^2 h}{3}\\V=\frac{(5)^2 (4)}{3}\\V=33.33

The volume is around 33.33 cubic feet

5 0
3 years ago
A semi circle shaped rug has a diameter of 2 feet what is the area of the rug
Hitman42 [59]
For the full circle, Area = pi(r)^2
pi x 1^2 = pi 
Semi circle = pi/2 = 1.57 square feet
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bp%7D%7B5%7D" id="TexFormula1" title="\frac{p}{5}" alt="\frac{p}{5}" align="absmiddle
tatyana61 [14]

Answer:

p ≥ -10

Step-by-step explanation:

first, subtract one from each side to get:

p/5 ≥ -2

lastly, multiply each side by 5

p ≥ -10

6 0
2 years ago
X= <br> 5<br> 10<br> 6<br> Please help
Lerok [7]

Answer:

x = 6

Step-by-step explanation:

(segment piece) x (segment piece) =   (segment piece) x (segment piece)

2*x = 3*4

2x = 12

Divide each side by 2

2x/2 = 12/2

x = 6

8 0
3 years ago
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