A person 5.5ft tall casts a shadow that is 6ft long. At the same time of day a
lamppost cast an 18ft shadow. How tall is the lampost?
17.5 feet
16.5 feet
1.83 fee
15,5 feet

Answers

Answer 1
16.5

(5.5/6)x18
By figuring out how tall 1 foot of shadow gives, you can then multiply it by 18 to get the lamppost height.

Related Questions

I will give 25 points for it if solve this problem ​

Answers

Answer:

5/27

30/81 = 10/17

it's just ratios but if you need then vice versa, swap numerator and denominator

Answer:

the person on top is correct :)

Step-by-step explanation:

which statement would be true if you evaluate the expression (980+205)÷5
a. the solution is 5 times as small as 980-205
b. the solution is 5 times as small as 980+205
c. the solution is 5 times as large as 980+205
d. the solution is 5 times as large as 980-205

Answers

B. The solution is 5 times as small as 980+205

30 square units is how much units ?

Answers

Answer: 30 units

:))

A circle in the standard (x,y) coordinate plane has
center C(−1,2) and passes through A(2,6). Line
segment AB
___ is a diameter of this circle. What are the
coordinates of point B ?

Answers

Given:

Center of a circle is at point C(-1,2).

AB is the diameter of the circle.

Coordinates of the point A are A(2,6).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Point C = Midpoint of AB

[tex](-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{2+a}{2}=-1[/tex]

[tex]2+a=-1\times 2[/tex]

[tex]a=-2-2[/tex]

[tex]a=-4[/tex]

Similarly,

[tex]\dfrac{6+b}{2}=2[/tex]

[tex]6+b=2\times 2[/tex]

[tex]b=4-6[/tex]

[tex]b=-2[/tex]

Therefore, the coordinates of point B are (-4,-2).

What percent of 602 is 358?

Answers

Answer:

168.16%

Step-by-step explanation:

The breakdown of a sample of a chemical compound is represented by the function p(t) = 500 (0.25)^t, where p(t) represents the number of milligrams of the substance and t represents the time. In years. In the function p(t), explain what 0.25 and 500 represent.​

Answers

Given:

The function is:

[tex]p(t)=500(0.25)^t[/tex]

Where p(t) represents the number of milligrams of the substance and t represents the time.

To find:

The correct explanation for the number 0.25 and 500 in the given function.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]           ...(i)

Where, a is the initial value and b is the growth/decay factor. If [tex]0<b<1[/tex], then decay factor and if [tex]b>1[/tex], then growth factor.

We have,

[tex]p(t)=500(0.25)^t[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]a=500[/tex], it means initial there are 500 milligrams of the substance.

[tex]b=0.25[/tex], this value is less than 1, it means the substance is decreasing by a factor of 0.25.

Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.

Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4.

Answers

Answer:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]

Step-by-step explanation:

We want to write the equation of a line that passes through the point (3, -1) and is perpendicular to the line:

[tex]y=6x-4[/tex]

Remember that the slopes of perpendicular lines are negative reciprocals of each other.

The slope of the given equation is 6.

So, the slope of our perpendicular line is the negative reciprocal of 6, which is -1/6.

Next, we are given that it passes through the point (3, -1). Since we are given a point and know the slope, we can use the point-slope form. Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

We will substitute -1/6 for m and (3, -1) for (x₁, y₁). Hence:

[tex]\displaystyle y-(-1)=-\frac{1}{6}(x-(3))[/tex]

Simplify:

[tex]\displaystyle y+1=-\frac{1}{6}(x-3)[/tex]

Our answer is valid as it as, but we can simplify this into slope-intercept form. Distribute:

[tex]\displaystyle y+1=-\frac{1}{6}x+\frac{1}{2}[/tex]

And subtract one from both sides. Therefore, our equation is:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]

a rectangle pool is 6 meters wide and 9 meters long. What is the area of the pool

Answers

The area of the rectangle would be 54

a straight line has equation y=5-3x
what is the gradient of the line?

Answers

Answer:

-3

Step-by-step explanation:

1. rearrange so it's in the formula y=mx+C

2. y=-3x+5

y=mx+C

M=gradient

-3=m

gradient= -3

Find the area of this triangle.
Round to the nearest tenth.
7 m
125°
14 m
?] m2
Enter

Answers

Answer:

40.1

Step-by-step explanation:

i just did it and got it right

A drawer contains 2 red shirts and 4 blue shirts. A second drawer contains 3 pairs of grey pants and 2 pairs of blue pants. A third drawer contains 8 pairs of white socks and 7 pairs of blue socks.

You choose one item from each drawer without looking. What is the probability of each outcome?

a) A blue shirt, blue pants, and blue socks


b) A red shirt, blue pants, and white socks


c) Nothing blue

Answers

Answer:

b . may be

may it helped u ....

What is the interquartile range of the data set shown below?
25, 28, 32, 35, 36, 40, 46

Answers

Answer:

IQR = 12

Step-by-step explanation:

interquartile range is the difference between quartile 3 and quartile 1

in this set of data Q3 = 40 and Q1 = 28

so IQR = 12

In 7 years, Tom will be half as old as Patty. Using P to represent Patty’s age now, write an expression for Tom’s age in 7 years.

Answers

Answer:

(P + 7) / 2 or 1/2(P+7)

Happy learning!

--Applepi101

what is the slope of a line containing points (2,-1) (3,5)

Answers

Answer:

slope(m)=6

Step-by-step explanation:

(2 , -1)=(x1 , y1)

(3 , 5)=(x2 , y2)

use formula : y2 - y1/x2 - x1

=5-(-1)/3-2

=5+1/1

=6/1

=6

therefore slope of a line is 6.

How much money should be deposited in an account today that earns 4% compounded monthly so that it will accumulate to $10,000 in 5 years?

Answers

Answer:

$8206.37

Step-by-step explanation:

According to the Question,

Given, Some money should be deposited in an account today that earns 4% interest Annually. but it is compounded monthly so (4/12)% Will be the new interest Rate .

Now, What Money Should be Invested For 5 years(60 months) to get $10000 in Return .

The Formula for Compound interest is  [tex]A=P(1+\frac{r}{n})^{nt}[/tex] .

We have, r=4% , n=12 , t=5 & A=$10000 Put These all value in above equation.

[tex]10000=P(1+\frac{0.04}{12})^{60}[/tex]

[tex]P= \frac{10000}{1.0033^{60} }[/tex]   ⇔ $8206.37 Should be invested .

Write an equation that meets these criteria:
1. It has a solution of x=5.
2. It includes the numbers 3, 7, and 8, and at least
two different operations (addition, subtraction,
multiplication, and division.)

Answers

Answer:

3x = 7 + 8

Step-by-step explanation:

3x = 7 + 8

3x = 15

x = 3

If GH = HI And FI =10 what is GI

Answers

Answer:

20

Step-by-step explanation:

By HL and CPCTC, GF = FI, so GI = 2FI = 2(10) = 20.

Work out 2/3 of 30.

Answers

2/3 of 30

30:3=10

10*2=20

2/3 of 30 = 20

Answer:

20

Step-by-step explanation:

of means multiply

2/3 * 30

60/3

20

Jake has 12 sheep all but 9 die how many does he left ?
12
9
3

Answers

Answer:

Jake has 9 sheep left

Step-by-step explanation:

As the question says, Jake has 12 sheep and all but 9 die. This means that he has 9 sheep left.

Answer:

3

Step-by-step explanation:

Jake has 12 sheeps but 9 died

Jake loss 9 sheeps

Solution:

12-9

=3

14.
Which of the quadratic functions has the narrowest graph?

A. 9x2

B. 2/5x2

C. -10x2

D. -0.9x2

Answers

Answer:

A. 9x2

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

1

36

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

1

36

x

y

1

9

0

0

1

9

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

5

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

8

x

y

2

8

5

1

2

5

0

0

1

2

5

2

8

5

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

1

40

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

1

40

x

y

1

10

0

0

1

10

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

0.2

¯

7

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

0.2

¯

7

x

y

2

3.6

1

0.9

0

0

1

0.9

2

3.6

Write the expanded form of the given expression.

(x^4)(x^4)

Answers

Answer:

[tex]x^{8}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]x^{4}[/tex] × [tex]x^{4}[/tex] = [tex]x^{(4+4)}[/tex] = [tex]x^{8}[/tex]

A king rules a small mountain kingdom which is in the form of a square of length 4 kilometers. The square is described by the coordinate system0≤≤4,0≤≤4. The king has four adult children, each of which has a luxury palace located at the points (1,1),(3,1),(1,3),(3,3). Each child owns all the land that is nearer their palace than any other palace.
Sketch a Voronoi diagram to represent this information.

Answers

Answer:

i can not get the answer

Which expression entered into a graphing calculator will return the probability
that at most 10 heads come up when flipping a coin 25 times?
A. binomcdf(25, 10,0.5)
B. binomcdf(10, 0.5, 25)
C. binomcdf(25, 0.5, 10)
D. binomcdf(10,25, 0.5)
SUBMIT

Answers

The answer is D (10,25,0.5)

Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.

What is the missing step in solving the inequality 5 – 8x < 2x + 3?

Answers

Answer:

I’m gay

Step-by-step explanation:

Answer:

Add 8x to both sides of the inequality.

Step-by-step explanation:

I got it right

can someone help please !! giving brainlist to anyone who answers

Answers

3 is the correct one!

How can you determine whether a linear binomial is a factor of a polynomial without using the remainder theorem?

Answers

A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial

How to determine the factor?

Assume a polynomial function is

P(x) = (x - 3)(x + 1)(x -2)

And a linear binomial is:

x - 3 = 0

We start by calculating the value of x in x - 3 = 0

x = 3

Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)

P(3) = (3 - 3)(3 + 1)(3 -2)

Evaluate

P(3) = 0

Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)

Read more about remainder theorem at:

https://brainly.com/question/13328536

#SPJ1

Thank you everyone for helping me this year to get good grades I am giving points.​

Answers

Yayyyy I’m so happy you got good grades

Please help me‼️
Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane

Answers

Answer:

B, D, E

Step-by-step explanation:

Straight line equation is in the form of:

ax + by = c

Lets verify the options:

A- no, simplified, it is 1 + xy = 9xB- yesC- no, because of y²D- yesE- yesF - no, simplified it is a quadratic equation

Se desea construir un parque con forma de sector circular con un radio de 402 pies y un ángulo central de 45°. ¿Cuál será la superficie ocupada por dicho parque?

Answers

Answer:

63462 pies

Step-by-step explanation:

De la pregunta anterior, debemos encontrar el área del sector

La fórmula se da como:

θ / 360 × πr²

Dónde:

θ = 45 °

radio = 402 pies

Área del sector =

45/360 × π × 402²

= 63461.742399 pies

Aproximadamente el área de la ocupada por el parque = 63462 pies

help ill give brainliest

Answers

Answer:

Bottom Left

Step-by-step explanation:

We can check by seeing the numbers with the tens place that has the digit 1.

We have numbers 10, 10, 15, 15, 15

That means one's digit values of 0, 0, 5, 5, 5

The bottom left is the only option.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: bottom left

Step-by-step explanation:

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