Ask question

Ask question

All categories

3 years ago

6

A person standing 20 feet from a streetlight casts a shadow as shown. How many times taller is the streetlight than the person?

Assume the triangles are similar.

2 answers:

Leviafan [203]3 years ago

7 0

I don't know

Step-by-step explanation:

NemiM [27]3 years ago

6 0

Answer: 3 times taller! If you want an explanation just let me know! :)

You might be interested in

NEED HELP! ASAP! 50 POINTS!

Lerok [7]

Answer:

$y=13\text{ miles per gallon}$

Step-by-step explanation:

We have the two points: (0, 11) and (3, 50).

And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.

In simple terms, we want to find the slope between the two points.

So, let's use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

$y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}$

Subtract and reduce:

$y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}$

And we're done!

6 0

3 years ago

In the diagram, AB=18. find AC and BC

LuckyWell [14K]

Answer:

b

Step-by-step explanation:

In a 30-60-90 right triangle, the hypotenuse is twice the length of the short leg.

The hypotenuse is AB and is 18.

The short leg is BC and is 9.

The only choice with BC = 9 is b.

Answer: b

3 0

3 years ago

Solve the system of equations 2x+4y+3z=6 5x+8y+6z=4

MaRussiya [10]

Answer:Solution :

{x,y,z} = {-8,52/7,-18/7}

System of Linear Equations entered :

[1] 2x + 4y + 3z = 6

[2] 5x + 8y + 6z = 4

[3] 4x + 5y + 2z = 0

Solve by Substitution :

// Solve equation [3] for the variable z

[3] 2z = -4x - 5y

[3] z = -2x - 5y/2

// Plug this in for variable z in equation [1]

[1] 2x + 4y + 3•(-2x-5y/2) = 6

[1] -4x - 7y/2 = 6

[1] -8x - 7y = 12

// Plug this in for variable z in equation [2]

[2] 5x + 8y + 6•(-2x-5y/2) = 4

[2] -7x - 7y = 4

// Solve equation [2] for the variable y

[2] 7y = -7x - 4

[2] y = -x - 4/7

// Plug this in for variable y in equation [1]

[1] -8x - 7•(-x -4/7) = 12

[1] -x = 8

// Solve equation [1] for the variable x

[1] x = - 8

// By now we know this much :

x = -8

y = -x-4/7

z = -2x-5y/2

// Use the x value to solve for y

y = -(-8)-4/7 = 52/7

// Use the x and y values to solve for z

z = -2(-8)-(5/2)(52/7) = -18/7

Solution :

{x,y,z} = {-8,52/7,-18/7}

Step-by-step explanation:

4 0

3 years ago

Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch

Ivenika [448]

Answer:

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion

Step-by-step explanation:

Given that

Rachel traveled to 5 areas to find number of Buckeye and Monarch butterflies.

Areas Rachel Traveled to = A, B, C, D, E

The table given below shows her findings.

Area Buckeye Monarch

A 15 16

B 27 36

C 12 25

D 24 32

E 44 33

Now lets find the ratio of Buckeye and Monarch Butterflies in these areas

Area A

Buckeye : Monarch = 15:16 = 0.9375

Area B

Buckeye : Monarch = 27:36 = 0.75

Area C

Buckeye : Monarch = 12:25= 0.48

Area D

Buckeye : Monarch = 24:32 = 0.75

Area E

Buckeye : Monarch = 44:33 = 1.334

As we know that if two ratios give same answer after solving the fraction then these ratios are in proportion.

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion.

4 0

3 years ago

Read 2 more answers

Find the derivative by definition of the function 2x^3-x^2+4

nikklg [1K]

The answer is 6x^2-2x

6 0

4 years ago