When a tree 8m high casts a shadow 3m ​long, how long is a shadow cast by a person 2m ​tall?

Answers

Answer 1

Answer:

3/4 meters

Step-by-step explanation:

We can use ratios to solve

8m         2 m

------- = -----------

3m         x m

Using cross products

8*x = 3*2

Divide each side by 8

8x/8 = 6/8

3/4 meters

Answer 2

Answer:

x = 3/4 m

Step-by-step explanation:

Construct two similar right triangles that share an angle of elevation.  The two vertical sides represent the heights of the person and the tree and are 2 m ad 8 m respectively.  The two horizontal sides represent the shadow cast by the person and that cast by the tree, respectively.  Because the triangles are similar, we can write the following equation of ratios:

 8 m       3 m

--------- = --------

 2 m         x

... where x is the length of the shadow cast by the person.

Cross multiplying, we get:

8x = 6m, or x = 6/8 m, or x = 3/4 m


Related Questions

just help me out with this



Answers

1st and 3rd and 4th are yes
2nd and 5th are totally incorrect

is the relation shown below a function? Explain.
(4, 16), (5, 25), (3, 9), (6, 36), (2,4), (1, 1)

Answers

Answer:

4•4=16

5•5=25

3•3=9

6•6=36

2•2=4

1•1=1

Solve for x
B
31°
С
26
X=
(Round to the nearest hundredth.)

Answers

Answer:

S i neorrddints poy

Step-by-step explanation:asdadasdasdasdo

A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is not yellow.

Answers

Answer:

There is a 9/10 probability that the marble will not be yellow.

Step-by-step explanation:

If there are a total of ten marbles, and there is one yellow marble, there is a

1 yellow marble / 10 total marbles chance of getting a yellow marble. Then subtract it from 10/10 to get the probability of NOT getting a yellow marble.

10/10 - 1/10 = 9/10.

Answer:

9/10

Step-by-step explanation:

I THINK I THINK I THINK

An orchestra has 100 musicians 4/10 of them play string instruments-violin , viola, cellodouble bass , guitar, lute, and harp. What decimal is equivalent to 4/10 ?

Answers

4/10 = 4 tenths = 0.4

Hope this helps!

At an ice cream shop, 4 of the last 12 cones sold had chocolate ice cream. Considering this data, how many of the next 15 cones sold would you expect to have chocolate ice cream?

Answers

Answer:

5

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(chocolate)

=

chocolate

total

=

4

12

=

1

3

The experimental probability is

1

3

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

3

=

n

15

1

3

(315)

=

n

15

(315) Multiply both sides by (315)

115

= 3n Simplify

15

= 3n Simplify

5

= n Divide both sides by 3

You would expect 5 of the next 15 cones sold to have chocolate ice cream.

What is the quotient of 5 1/2 ÷ 3/8?

Answers

Answer:

14 2/3

Step-by-step explanation:

It's easiest to convert 5 1/2 to the improper fraction 11/2.

Then the problem calls for dividing 11/2 by 3/8, which, in turn, is equivalent to

the product of 11/2 and 8/3:

 11      8

---- * ----- = 88/6 or 44/3 or 14 2/3

  2      3

Optionally you could convert to mixed decimal fractions:

5.5

---------- = 14 2/3 (same as before)

0.375

Answer:

..............

Step-by-step explanation:

Same i am not that questin pls help

what is the value of a and b

Answers

hey i would answer but you didn’t provide enough context! make sure to upload images with your question hun.

if you make $8 an hour and you get a 10% raise how much are you making now

Answers

Answer:

$8.8

Step-by-step explanation:

[tex]8*0.10=0.8[/tex]

[tex]8+0.8=8.8[/tex]

Britton simplified an expression and got 1 108 for his answer. If he simplified correctly, which expression did Britton simplify?

Answers

Answer:

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divideStep-by-step explanation:

Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.

Answers

Answer:

[tex]c = 11[/tex]

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

[tex]a = b= 5[/tex]

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: [tex]a = b= 5[/tex]

[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]

Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]

[tex]0 < c < 10[/tex]

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

[tex]c = 11[/tex], since no options are given

find f(3) if f(x)=-3x-6

Answers

Answer:

-3(3)-6=-15

Step-by-step explanation:

What is the area of the rectangle with the given dimensions? *

The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?

F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9

Answers

Given:

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

[tex]Area=Length\times Width[/tex]

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:

[tex]Area=(2x-5)\times (3x+3)[/tex]

[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]

[tex]Area=6x^2+6x-15x-15[/tex]

[tex]Area=6x^2-9x-15[/tex]

Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].

Help me with this! Will give brainlist!!

Answers

Answer:

answer is C i think

Step-by-step explanation:

Answer:

18.85 B

Step-by-step explanation:

ANSWER ASAP! WILL MARK BRAINLIEST DUE TODAY


Find the value of x.
A) 18
B) 36
C) 45
D) 50

Answers

B) 36 !

Step-by-step explanation:

Hope I helped u. :)

Any helpers? Need help asap

Answers

Answer: positive: up down/ up up     negative: down up     down down

Step-by-step explanation:

Positive is up-down and up-up

Negative is down-up and down-down

If −x+8y=−3 is a true equation, what would be the value of 2(−x+8y)?

Answers

Answer:  -6

Step-by-step explanation:

If −x+8y=−3 is a true equation, we plug in -3 for -x + 8y, we get 2(-3) = -6.

Which of the following units is most appropriate to measure the perimeter
of a park?
A. square inches
B. square meters
C. millimeters
D.meters

Answers

the answer is: b, square meters

Loll does anyone know what a capital character is. This is for CFM LOL

Answers

Answer:

The required ansswers

Step-by-step explanation:

23.Character

24.Capital

25.Capacity

Step-by-step explanation:

23.character

24.capital

25. capacity

hope it is helpful to you

Write an equation of the line. Express the answer using either the general form or the​ slope-intercept form of the equation of a line.

Answers

Answer:

y=x-4

Step-by-step explanation:

The graph intercepts the y-axis at -4 and when you do rise over run you get 4/4 which is just equal to 1 so there would not be a coefficient in front if x

What is the Sector area with radius 6 and an angle of 50°? Use 3.14 for pi.

Answers

Answer:

15.7 units²

Step-by-step explanation:

The sector area is 50/360 times the area of the circle (since the central area of a complete circle is 360° and that for the sector is 50°), or

Sector area = (50/360)(3.14)(6 units)² = 15.7 units²

Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 ​ = 5 4 ​ start fraction, 3, divided by, k, end fraction, equals, start fraction, 4, divided by, 5, end fraction k =k=

Answers

Answer: [tex]\dfrac{15}{4}[/tex]

Step-by-step explanation:

Given

[tex]\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}[/tex]

Apply cross-multiplication

[tex]\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}[/tex]

The value of k is [tex]\dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}[/tex]

Answer:

15/4

Step-by-step explanation:

I need help please and thank you
no links

Answers

Answer:

5x-15=2x+21

5x-2x=21+15

3x=36

x=12

b= 45°

Write with rational exponents. Be sure to show your work and simplify your answer. See the file below.

Answers

Answer:

(12ab)^1/2

Step-by-step explanation:

(⁶√12ab)³

= [(12ab)^1/6]³

= (12ab)^(1/6 * 3)

= (12ab)^1/2.

120 to 140 *
Not Finished
86% increase
14% increase
86% decrease
17% increase

Answers

16.66666667 % increase or 17%

A bride decided to choose 2 colors from 5 of her favorite color to be the motif of her wedding. How many color combination are possible?

A. 60
B. 20
C. 10
D. 5​

Answers

The Answer is C.10 for this

Simplify (2x + 5y)(3x – 7y) - 2xy
Helpppp

Answers

If you want a faster way to get these things solved, use the math papa algebra calculator

Solve for b
2/3b+5=20-b
b=

Answers

Answer:

the answer is b=9 and good luck .

Kris claims that the two figures must be congruent.

Two triangles have angles 100 degrees, 50 degrees, and 30 degrees.

Which statement best describes his claim?
He is correct because both figures are triangles.
He is correct because the measures of the angles are the same in both figures.
He is incorrect because the triangles are not oriented the same way.
He is incorrect because the lengths of the corresponding sides of the figures are unknown.

Answers

Answer: it’s D) the last one

how many times can 82 go into 401

Answers

Answer:

4.89 times

Step-by-step explanation:

I hope this helps :)

Answer:

82 can go into 401 four times.

Step-by-step explanation:

82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.

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