a street light is mounted at the top of a 15-foot pole. A 6-foot tall man walks away from the pole along a straight path. How long is his shadow when he is 40 feet from the pole

Answers

Answer 1

Answer:

[tex]x=26.67[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Pole [tex]h_p=15 foot[/tex]

Height of Man [tex]h_m =6ft[/tex]

Distance from Pole [tex]d_p=40ft[/tex]

Generally the equation for similar Property is mathematically given by

[tex]\frac{h_p}{h_m}=\frac{d_p+x}{x}[/tex]

[tex]x=\frac{h_m*(d_p+x)}{h_p}[/tex]

[tex]x=\frac{6*(40+x)}{15}[/tex]

[tex]x=\frac{240+6x}{15}[/tex]

[tex]x=16+0.4x\\x-0.4x=16[/tex]

[tex]x=16\0.6[/tex]

[tex]x=26.67[/tex]


Related Questions

please hbelpppppppppppppppppppppppp quick

Answers

Answer:

#1 I believe the answer is 4 and for 2 I believe the answers are 3&4

Are women better at multitasking than men? Researchers conducted a multitasking experiment in which 120 men and 120 women played a computer game in which they were asked to carry out two tasks at the same time. The female group had an average speed that was faster than that of the male group.

Answers

Answer:

Yes, women better at multitasking than men.

Step-by-step explanation:

Given

[tex]n_1=120[/tex] --- Men

[tex]n_2=120[/tex] --- Women

[tex]\bar x_2 > \bar x_1[/tex] --- Women with greater average speed

Required

Does women better at multitasking?

When making comparison between two variables that are subjected to the same conditions;

If both variables have different mean values; the variable with the greater mean value performs better.

So, in this case:

[tex]\bar x_2 > \bar x_1[/tex] means that women perform better than men, at multitasking.

On Friday night, the owner of Chez Pierre in downtown Chicago noted the amount spent for dinner for 28 four-person tables.
95 103 109 170 114 113 107 124 105 80 104 84 176 115 69 95 134 108 61 160 128 68 95 61 150 52 87 136
(a) Find the mean, median, and mode.
(b) Do these measures of center agree? Explain.
(c) Make a histogram or dot plot.
(d) Are the data symmetric or skewed? If skewed, which direction?

Answers

Answer:

median: 104.5

mean: 102.4

mode: 95

Step-by-step explanation:

Someone need help guys :/ yeah me please help me

Answers

Answer:

Step-by-step explanation:

yes two triangles are congruent by SSS theorem (side Side Side)

An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year

Answers

Answer:

17 years

Step-by-step explanation:

We can use a known formula (n being the number of years)

n = log(17323/8500) / log (1+ 0.045) = 16.17

How many solutions are there to this equation?
3(3x−1)=6x−3

A. no solutions B. one solution C. two solutions D. infinite solutions

Answers

Answer:

B. One solution

Step-by-step explanation:

The only solution is x = 0

if m<1=25 what is the measure of an angle that is complementary to <1

Answers

Answer:

65°

Step-by-step explanation:

The sum of the measures of complementary anfglwes is 90°.

Let a = the measure of the complement.

m<1 + a = 90

25 + a = 90

a = 65

somebody help me and show your work pls

Answers

Answer:

40x(14)

Step-by-step explanation:

5x(2)y(0)(2x(4)(3)

5x(2)x1) x8x(12)

5x(2)x8x(12)

40x(14)

Frankie scores a 70% on her math test. The test had 20 questions. How many questions did she get correct?​

Answers

Answer:

14 questions correct

Step-by-step explanation:

x/20 *100 = 70

so x/ 20 = 70/100(0.7)

x/20 = 0.7

x = 0.7*20

x =14

14 questions correct

10.3.23
Question Help
o
In a recreation center with 1,500 members, 200 are high school students. Of the members, 300 regularly swim. The 45 students of the high school swim team are
all members and practice at the pool every week. What is the probability that a high school member selected at random is on the swim team?
The probability is
o
(Simplify your answer.)

Answers

Answer:

The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: High school student.

Event B: Is on the swin team.

Probability of selecting a high school student:

Of the 1500 students, 200 are on high school. So

[tex]P(A) = \frac{200}{1500}[/tex]

Probability of selecting a high school student who swims:

Of the 1500 students, 45 are high school students who swim. So

[tex]P(A \cap B) = \frac{45}{1500}[/tex]

What is the probability that a high school member selected at random is on the swim team?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225[/tex]

The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]

Raden says that a trapezoid is a
quadrilateral because it has four sides.
Amanda says that a trapezoid is a
parallelogram because it has a pair of
parallel sides. Who is correct? Explain.

Answers

Answer:

Raden is correct

Step-by-step explanation:

A quadrilateral is any polygon that has four sides and four angles.

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides and angles of a parallelogram are equal. Also, the diagonals are equal to each other and bisect each other.

A trapezoid is a quadrilateral with atleast a pair of parallel sides. It has no perpendicular sides or right angles.

Raden is correct because a trapezoid is a quadrilateral since it has four sides. Amanda is not correct because for a trapezoid to be a parallelogram it must have two pairs of parallel sides and not just a single pair of parallel side.


A. Match the given solid figures to its corresponding formulas. Write the
letter of the correct answer in the blank.

please help​

Answers

This is a Right answer....

Plz help plz "??????????????

Answers

the answer is a. john

hope this helps!
john
have a good day x

If 4, m & 9 are in continued proportion. Find the value of m.​

Answers

Answer:

M =6

Step-by-step explanation:

T2/T1=T3/T2

M/4=9/m

M^2=36

M=+ or - 6

As m is continued ignore - 6

Then get m =6

find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees​

Answers

Answer:

c

Step-by-step explanation:

How do you simplify √(29-12 √5)?

Answers

Answer:

2 sqaure root 5 -3

Step-by-step explanation:

See the Image below:)

(2[tex]\sqrt{5}[/tex] - 3)

What is simplification?

The process of replacing a mathematical expression with one that is equivalent, simpler, and typically shorter. Examples of simplification include simplifying algebraic expressions in computer algebra, simplifying Boolean expressions in logic optimization, and simplifying by conjunction elimination in logic inference to produce a formula that is simpler but typically non-equivalent.

Given equation  [tex]\sqrt{(29 - 12\sqrt{5}) }[/tex]

[tex]\sqrt{(29 - 12\sqrt{5}) }[/tex] = [tex]\sqrt{(9 + 20 - 2 x 3 x 2\sqrt{5}) }[/tex]

=  [tex]\sqrt{(3^{2} + (2\sqrt{5} )^{2} - 2 x 3 x 2\sqrt{5}) }[/tex]...…(1)

the equation is now in the form of (a - b)² =  a² + b² + 2ab

equation (1) can be written as where a =  2√5 and b = 3

[tex]\sqrt{(2\sqrt{5} - 3 )^{2} }[/tex] = 2√5 - 3

Hence the simplified equation is  2√5 - 3

Learn more about simplification;

https://brainly.com/question/23509407

#SPJ2

a number cubed decreased by 1 is equal to the product of the number and 12

Answers

Ok? So what’s the question because right now you’re just explaining something to me not asking what you’re having trouble with

Answer:

x³ - 1 = 12x

Step-by-step explanation:

A number cubed decreased by 1 is equal to the product of the number and 12

x³ - 1 = 12x

Find the slope of the line?

Answers

Answer:

slope = 1/6

Step-by-step explanation:

(-3--4)/1--5)

rise/run

so slope = 1/6

WILL GET 100 POINTS IF U ANSWER THIS!!!

If 4x=28, find the value of 29-5x.

Answers

Answer:

-6

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

Answer:

-6 (not 100% sure)

Step-by-step explanation:

4x = 28

4 × 7 = 28

so

29 - 5x

if x is 7, 5 × 7 = 35

29 - 35 = -6

The graph of f(x) - 3* -6 is shown below. g() is a transformation of f(x).
How would you write the equation for the function g(x)?
15
10
5+
g(x)
is 2015 16
f(x) = 13*-6 -10
5
10
15 20 25
5
15+
O
A. g(x) - 3* +2
B. g(x) =
Ο Ο
2--13*-6
c. g(x)=13* +3
D. g(x)= - 4*+3
o

Answers

Answer:

[tex]g(x) = \frac{1}{4}3^x +3[/tex]

Step-by-step explanation:

Given

[tex]f(x) =\frac{1}{4}3^x -6[/tex]

[tex]g(x) \to[/tex] translate f(x) 9 units up

Required

Find g(x)

The translation rule is:

[tex]g(x) \to f(x) + 9[/tex]

So, we have:

[tex]g(x) = f(x) + 10[/tex]

[tex]g(x) = \frac{1}{4}3^x - 6 + 9[/tex]

[tex]g(x) = \frac{1}{4}3^x +3[/tex]


Which choices are equivalent to the fraction below? Check all that apply.

Answers

Answer:

the answer is B & F

!!!! URGENT evaluate the geometric series below !

Answers

Answer:

C

Step-by-step explanation:

S(6)= -2(1-(-3)^6)/1-(-3)

i need help asap thank you

Answers

Answer:G

Step-by-step explanation:Since it is decreasing in size, the coordinates have to be negative so the only answer is G

For every 1/4 kilometre of a walkathon a walker drank a bottle of water. How much water did the walker drink after walking 3 kilometres?

Answers

Answer:

12 bottles of water.

Step-by-step explanation:

Since each walker drinks a bottle of water every 1/4 kilometre, we know that one walker drinks 4 bottles of water every kilometre since 4/4 = 1. We are trying to find how much water they drank after walking 3 kilometres, so we would multiply 3 by 4 getting us an answer of 12.

65 inches is how many feet? (Round to nearest hundredth) *

Answers

Answer:

5.42 feet

Step-by-step explanation:

12 inches=1 foot

65/12=5.41667

5.41667=5.42 feet

Answer:

5.42 feet

Step-by-step explanation: i hope its right and sorry if it's wrong

ANSWER ASAP

Jennifer painted a tabletop that is shaped like a semi-circle. The diameter of the tabletop is 10 feet. What is the
area of the tabletop in square feet?

Answers

Answer:

12.5 pi or 39.26990

Step-by-step explanation:

First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:

[tex]\frac{\pi r^2}{2}[/tex]

We can substitute what we have:

[tex]\frac{25\pi }{2}[/tex]

This gives us:

12.5 pi or 39.26990(Not sure what format you need it in)

What is the value of N in this proportion 16/40= 8/n

Answers

Answer:

n = 20

Step-by-step explanation:

[tex]\frac{16}{40} = \frac{8}{n}[/tex]

Cross multiplication would result in:

16 * n = 8 * 40

16n = 320

n = 320 / 16

n = 20

Therefore the value of "n" in this proportion is 20.

Hope this helps!

Question 6 of 10
Classify the following triangle. Check all that apply.
O A. Isosceles
B. Equilateral
O C. Obtuse
D D. Scalene
E. Right
OF Acute
SUB

Answers

Answer: a b f

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

i believe it is A, B, and F good luck.

Rewrite the following logarithmic expression as an exponential expression

Answers

[tex]\huge{ \mathrm{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The logarithmic expression for the given exponential expression is :

[tex]\large\boxed{ \mathrm{ log_{4}(b )= a}}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]

will give brainliest if u answer this right^ p-20=46

Answers

Answer:

you forgot to link the photo

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

p-20=46

p= 46+20

p=66

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