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

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:

https://brainly.com/question/29199001

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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

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

Answer:

2. -16

6. 23

7. -40

8. -17

9. 41

10. -58

Answer:

2 10 or 100 2

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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

[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

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)

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.

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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).

Answer:

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

Answer:x= 38.079

Step-by-step explanation:

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

Answer:

126.8

Step-by-step explanation:

angles opposite each other when two lines cross are always equal

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

Answer:

Step-by-step explanation:

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

    =12

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

[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

Answer:

8

Step-by-step explanation:

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.

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

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

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]

Answer:

13x/24-3

Step-by-step explanation:

Answer:

hello! :) have a good day!

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

Answer:

x=y-3/5

Step-by-step explanation:

y=5x+3

y-3=5x

y-3/5=x

x=y-3/5

Answer:

6.148

Step-by-step explanation:

Answer:

x<=2

Step-by-step explanation:

x-7<=-5

x<=-5+7

x<=2

Answer:

1914

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

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

Step 2: Evaluate

Answer:

x=9 option C

Step-by-step explanation:

explanation above

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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