A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.

Required:
a. Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight.
b. What is the height of the streetlight?

Answer:

[tex]x=-1.52,2.19[/tex]

Step-by-step explanation:

Hi there!

[tex]3x^2 - 2x - 10 = 0[/tex]

Use the quadratic formula:

[tex]x=\displaystyle\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] in the form [tex]ax^2+bx+c=0[/tex]

Plug in the a, b and c values

[tex]x=\displaystyle\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(-10)} }{2(3)}\\\\x=\displaystyle\frac{2\pm\sqrt{4+120} }{6}\\\\x=\displaystyle\frac{2\pm\sqrt{124} }{6}\\\\x=\displaystyle\frac{2\pm2\sqrt{31} }{6}\\\\x=\displaystyle\frac{1\pm\sqrt{31} }{3}\\\\x=-1.52,2.19[/tex]

I hope this helps!

Answer:

for a) you have to draw the graph of y = x - 1 for values from 0 to 7 so you need to make the table in the picture:(see the attached picture) now draw it using the coordinates from the table

but for b) I don't know I tried something but it didn't work.

Answer:

no solution

Step-by-step explanation:

3(x-8)=x+2x+7

3x-24=3x+7

there is no solution bc both sides, when simplified, that x is not defined.

you end up canceling the 3x in both sides and so,

-24 does not equal 7

Answer:

A

Step-by-step explanation:

Answer:

2, 2, 2.5, 3, 3.5

Step-by-step explanation:

Answer:

2, 2.5, 3, 3.5

Even thought there are two "2's", you only list one making it 2,2.5,3,3.5 instead of 2,2,2.5,3,3.5

Answer:Yes

Step-by-step explanation:You are multiplying the ratios by 4

Answer:

if a joke i dont know

Answer:

x = 36

Step-by-step explanation:

You can write this equation to represent this problem:

[tex]\frac{1}{2}x-3=14[/tex]

Then, just solve for x:

[tex]\frac{1}{2}x=14+3\\\frac{1}{2}x=17\\x=36[/tex]

Answer:

the answer is 10/9.

Step-by-step explanation:

Please give BRANIEST and 5 stars if correct!

Answer:

ten ninths

Step-by-step explanation:

"one third plus seven ninths" can be rewritten symbolically as

1/3 + 7/9 and we note that the LCD is 9.  Thus,

1/3 + 7/9 = 3/9 + 7/9 = 10/9 (or "ten ninths")

Answer:

Because there is a variable and no equal sign

Step-by-step explanation:

Answer:

14/5

Step-by-step explanation:

Answer:

2 4/5

Step-by-step explanation:

9 4/5÷3 1/2

Change mixed fractions into improper fractions.

9 4/5=49/5

3 1/2=7/2

Keep Change Flip

49/5 x 2/7 =14/5

=2 4/5

Hope this helps :)

Answer:

1550 cups

Step-by-step explanation:

multiply everything by 5

Answer:

Step-by-step explanation:

For Plato just press the + button to add an introduction or whatever.

Answer: The building is 35 meters tall.

Step-by-step explanation:

420 divided by 24 is 17.5  

17.5 x 2 is 35

(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)

Answer:

60°

Step-by-step explanation:

the degrees of a triangle equal up to 180° so 60 + 60 = 120, 180 - 120 = 60

Answer:

|3x+4| +6

Step-by-step explanation:

f(x) = |3x+4| +2

g(x) =4

f(x) + g(x) =  |3x+4| +2 +4

               =  |3x+4| +6

Answer:

-7.5+20y

Step-by-step explanation:

To apply the distributive property, you have to distribute the multiplication of -2.5 to both 3 and -8y.

First, multiply 3 and -2.5 to get -7.5

Then, multiply -8y and -2.5 to get 20y.

Finally, add these values together

Answer:

x = (-5+/- √(25 + 12j))/6

Step-by-step explanation:

The solution to this question requires the application of quadratic formula

Answer:

3769.91 cm³

Step-by-step explanation:

For Small Cylinder:

Volume = height × π × r²

Volume = 12 cm × π × 10² cm

Volume = 3769.91  cm³

For Large Cylinder:

Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.

Volume = (height × 2) × π × (r × 2)²

Volume = (12 × 2) × π × (10 × 2)²

Volume = 24 cm × π × 20²

Volume = 30159.29 cm³

Answer:

Below.

Step-by-step explanation:

The volume of the smallest cylinder

= πr^2h

= π*10^2*12

= 1200π cm*3.

Now as the radius and height of  the large cylinder are 2 times the radius and height of the small one

Volume of the large cylinder = 2^3  = 8 times the volume of the small one

= 8* 1200π

= 9600π cm^3.

Answer: um i think 300

Step-by-step explanation:

Answer:

The answer is D. x + 3

Step-by-step explanation:

The factors of 5x2 + 14x - 3 are:

(5x-1) and (x+3)

Answer:

B is the answer I'm pretty sure

Answer:

It is congruent doe to the angle side angle congruence thereom AKA ASA

Step-by-step explanation:

That means there are two angles and one side in between. A pair of triangles  that follow this rule has an angle that is congruent to one angle. Then a side that has a tick mark after the angle must match another. Then the last angle has to match another angle ( and it can't be the same angle as before).  Usually the first pair angles have 1 semicircle and the second pair has 2 semicircles.

Answer:

sorry but i don't know the answer

Answer:

The Answer Above Is Right =)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

It's been a while since i've dealt with prime factors hopefully this is correct.

Answer:

The answer is 3,999

Step-by-step explanation:

93 x 43 = 3,999

brainliest :)

Answer:

23 hgrghhgfggggggghhhhh

Answer:

I looked at all those numbers and they all say d=0

Step-by-step explanation: