A fence post that is 5 feet tall casts a 2-foot shadow at the same time that a tree that is 26 feet tall casts a shadow in the same direction. Determine the length of the tree's shadow.

5.2 feet
10.4 feet
12.2 feet
15.4 feet

Answers

Answer 1

Answer:

10.4 feet

Step-by-step explanation:

26/5 = 5.2

5.2(2)=10.4

Answer 2

The length of the tree's shadow is 10.4 feet. Option B is correct.

What are Similar Triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

We can use similar triangles to solve this problem.

The ratio of the height of the fence post to its shadow is the same as the ratio of the height of the tree to its shadow.

(height of fence post) / (length of fence post's shadow) = (height of tree) / (length of tree's shadow)

Substituting the given values, we get:

5 / 2 = 26 / x

where x is the length of the tree's shadow.

Cross-multiplying and solving for x, we get:

x = 26 × 2 / 5

= 10.4 feet

Therefore, the length of the tree's shadow is 10.4 feet.

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Related Questions

A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?

I tried it isn't 30 cm

Answers

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

2(3x-9)=2x+10 what's x

Answers

Answer:

x = 7

Step-by-step explanation:

2(3x-9)=2x+10

6x - 18 = 2x + 10

4x = 28

x = 7

Answer:

x = 7

Step-by-step explanation:

In order to find the value of x, isolate it in the equation.

1) First, distribute the 2 to the terms inside the set of parentheses.

[tex]2 (3x - 9) = 2x + 10 \\6x - 18 = 2x + 10 \\[/tex]

2) Next, move all the x terms to one side and all the other terms to the other side. Subtract both sides by 2x and add both sides by 18.

[tex]6x - 18 = 2x + 10 \\4x = 28[/tex]

2) Divide both sides by 4 to finally isolate x.

[tex]4x = 28 \\x = 7[/tex]

Thus, x = 7.

4 minutes 53 seconds to seconds

Answers

Answer: 293 Seconds

Step-by-step explanation:

Answer:

293 seconds

Step-by-step explanation:

one minute = 60 seconds

4 x 60 = 240 seconds   -------> use the equation above to multiply per min

240 + 53 = 293 seconds  -------> add the remaining seconds to find total

please help!
In right triangle ABC, angle C is a right angle, AB = 13, and BC = 5.

What is the length of AC?

Answers

Answer:

Step-by-step explanation:

AC=[tex]\sqrt{13^{2} -5^{2} }[/tex]

    =12

please help me , I am so confused my head is hurting from this problem...​

Answers

Answer:

For the first one you could do 1 and 3/5 for the second one you ca  do 2/5 3/5 and 3/5 again to get the answer

Step-by-step explanation:

1 + 3/5 = 1 3/5

2/5 + 3/5 + 3/5 = 1 3/5

hii please help i’ll give brainliest if you give a correct answer!

Answers

Answer:

8

Step-by-step explanation:

(5x-8)
+
(2x+19)
Find the value of x.
OA.5
B.7
C.9
D.11

Answers

Answer:

x=9 option C

Step-by-step explanation:

explanation above

Please mark me as brainlist

8 + 3n ≥ 38 do yall know??? solve please

Answers

Answer:

n ≥ 10

Step-by-step explanation:

Given

8 + 3n ≥ 38 ( subtract 8 from both sides )

3n ≥ 30 ( divide both sides by 3 )

n ≥ 10

Which side lengths form a right triangle?

Answers

Answer:

B

Step-by-step explanation:

1^2+8^2=[tex]\sqrt 65\\[/tex]

Evaluate x=-3, y=4, z=-5
Answers suggested below
-17
41
23
-40
-58
-16

Answers

Answer:

2. -16

6. 23

7. -40

8. -17

9. 41

10. -58

how do you find the x-intercepts if given the following polynomial in factored form?

X(x-2)^2(x+4)(x+1)​

Answers

Answer:

Step-by-step explanation:

You know the intercepts occur at x = 0, so set each part of the factored form equal to zero and solve for x.

The first part, plain X = 0, so X = 0 is a root, an x-intercept

The second part (X-2)^2 = 0, so X = 2 is another root. Since the function is being squared, this root will happen twice. The function crosses this root twice.

The third part (x+4) = 0, so x = -4 is another root.

Finally, (x+1) so x = -1 is another root.

So you have X = 0, X = 2, X = -4, X = -1 as your x-intercepts

please helppppp please asap

Answers

Answer:

126.8

Step-by-step explanation:

angles opposite each other when two lines cross are always equal

A container of bread contains: 8 red beads, 6 yellow beads, and 6 green beads. A bread will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green or red is drawn?

Answers

The answer is 42 because you have to add up all of the colors together then add how many red and green you have then we multiple 60 times 14/20 and we get 840/20 so then we divide 840 by 20 and we get 42 so our answer is 42 if you haven’t got it already i don’t see any dates for these

help i have this question and i’m not sure what the answer would be

Answers

Answer:

2 10 or 100 2

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Make x the subject

y = 5x + 3

Answers

Answer:

x=y-3/5

Step-by-step explanation:

y=5x+3

y-3=5x

y-3/5=x

x=y-3/5

what is 1/6x + 3/4(1/2x - 4)?​

Answers

Answer:

13x/24-3

Step-by-step explanation:

Answer:

hello! :) have a good day!

[tex]\frac{13x}{24\\} -3[/tex]


Find y. Simplify completely.

y = [?]
Enter the number that belongs in the green box.
Please helpppp

Answers

Answer:

181?

Step-by-step explanation:

I saw a thing that it was A-squared plus B-squared=C.

9 squared=81. 10 squared=100. 100+81=181.

(If you have checks, I would definetely try it. But if you don't, and it's like a quiz or test, I wouldn't try it cuz I'm not 100% sure.

Answer:Y=190

Step-by-step explanation:I finished my exam and this answer was y=190 :) I hope I helped

In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help

Answers

Answer:x= 38.079

Step-by-step explanation:

38.079
i got it right


[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]

Answers

The answer is 19/20
Hope this helps

Answer:

Step-by-step explanation:

[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]

Hi! I am Khushi
can you all please tell me the answer of this question.
The question is:
Convert 4:1 into percentage
the options are:
(a) 80%:20%
(b) 75%:25%
(c) 60%:40%
(d) 20%:80%

Answers

Answer:

80%:20%

Step-by-step explanation:

100 divided by 5 = 20

20 x 1 = 20

20 x 4 = 80

Meaning 80%(4):20%(1)

how do I solve this ​

Answers

Answer:

113

Step-by-step explanation:

DQ= 180-112= 68

and sum of ang in quad add to 360 so

lets call what we have to find x

so x+ 68+56+123= 360

x+247=360

x= 113

6 74/500 as a decimal (giving another chance for brainliest)

Answers

Answer:

6.148

Step-by-step explanation:

Help me find the slope to 0,0 and 6,1

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Slopes and gradient.

slope, m = y2-y1/ x2-x1

hence, m = 1-0/ 6-0

m = 1/6

hence slope = 0.166

The guy above is correct

But wouldn’t want to make you waste your points so now I will get them.

Thank you!!!

What is the answer to this question? x−7≤−5

Answers

Answer:

x<=2

Step-by-step explanation:

x-7<=-5

x<=-5+7

x<=2

I NEED HELP ASAP, AND PLZ DONT SPAM

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the indices,

After applying the log rules we get the equation as,

===> 3-x = 1/2

===> x = 5/2

655 + (6.3 x 170) + (4.7 x 58) - (4.7 x 18)

Answers

Answer:

1914

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

655 + (6.3 × 170) + (4.7 × 58) - (4.7 × 18)

Step 2: Evaluate

(Parenthesis) Multiply:                                                                                    655 + 1071 + (4.7 × 58) - (4.7 × 18)(Parenthesis) Multiply:                                                                                     655 + 1071 + 272.6 - (4.7 × 18)(Parenthesis) Multiply:                                                                                    655 + 1071 + 272.6 - 84.6Add:                                                                                                                 1726 + 272.6 - 84.6Add:                                                                                                                 1998.6 - 84.6Subtract:                                                                                                          1914

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 4 if she rolls the two number cubes 216 ​times?

Answers

Answer:

18 times

Step-by-step explanation:

Sample space ; roll of 2 number cubes = 6^2 = 36

Sum of 4 in 2 cube rolls = 3

Probability = required outcome / Total possible outcomes

P(sum of 4) = 3 / 36 = 1 / 12

If number cube is rolled 216 times :

Probability on 1 roll * Number of rolls

(1 / 12) * 216

0.0833333 * 216

= 18

Desmond spends $800 per month on fixed expenses. Desmond earns $10,00 per hour,
How many hours does Desmond need to work each month to spend 50% of his/her income
on fixed expenses?

Answers

Answer:  160 hours

============================================================

Explanation:

He earns $10.00 an hour. Let x be the number of hours worked in a month. So 10x represents how much he earns after working x hours.

If he spends $800 per month on fixed expenses, and wants this to be 50% of his total earnings, then this must mean that the other 50% is for other things (eg: spending on a vacation or putting it to savings). So his goal is to earn 800+800 = 1600 dollars per month.

Set 10x equal to this and solve for x

10x = 1600

x = 1600/10

x = 160

He needs to work 160 hours a month.

-------------------------------

Extra info:

Divide 160 over 4 (the approximate number of weeks in a month) and we see that he'll need to work 160/4 = 40 hours a week

If he only works Monday through Friday, that's 5 days of the week. So he'll put in 40/5 = 8 hours per day.

So his goal of working 160 hours per month is reasonable. Keep in mind that this doesn't include factors like him missing time from work due to being sick (unless he has paid sick leave).

Determine the geometric mean of 11 and 8.

Answers

Answer:

[tex]\sqrt{88}[/tex]

Step-by-step explanation:

The geometric mean of 11 and 8 is equal to [tex]\sqrt{88}[/tex].

According to the question it is clear that we have to calculate the geometric mean of two positive numbers 11 and 8.

The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition

[tex]\frac{a}{b}=\frac{b}{c}[/tex]

The geometric mean of a and b is √ab if a and b are both positive numbers and it will be −√ab if a and b are negative numbers.

The geometric mean is the positive square root of the product of two numbers.

For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.

If we talk about the n numbers then the geometric mean is the nth root of the product of n numbers. If n positive values are given then the geometric mean is the nth positive root of the product of that n numbers.

So, the geometric mean is equal to [tex]\sqrt{a.b}[/tex]

Here, a = 11 and b = 8

The geometric mean of this is equal to = [tex]\sqrt{11.8}[/tex] = [tex]\sqrt{88}[/tex]

Learn more about geometric mean at:

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Which of the following best describes the solution to the system of equations below?
6x + 5y=8
6x + 5y=15

A. The system of equations has infinitely many solutions.
B. The system of equations has exactly one solution where x=0 and y =8/5
C. The system of equations has no solution.
D. The system of equations has exactly one solution where x = 8 and y= 15.

Answers

Answer:

the correct answer is C the system of equations has no solution.

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