an observer 12 m away from the foot of tree observes that the angle of elevation is 30° find the height of tree


anyone send me photo plz​

Answer:  [tex]\frac{8x^3}{27y^6}[/tex]

This is the fraction 8x^3 all over 27y^6

On a keyboard, we can write it as (8x^3)/(27y^6)

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Explanation:

The exponent tells you how many copies of the base to multiply with itself.

We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.

So,

[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]

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Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]

Applying that rule will lead to:

[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]

Either way you should get 8x^3 all over 27y^6 as one fraction.

Answer:

1: 90

2:AEC

3: angle addition postulate

Step-by-step explanation:

Looking at the diagram, ∠CED is a right angle, the angle that measures

degrees are:

An angle is known to be a term that connote a kind of figure that is created by two rays that can be seen a common endpoint.

Note that an angle is shown by the symbol ∠. and thus Looking at the diagram, ∠CED is a right angle, the angle that measures degrees are 90 and Angle addition postulate.

Learn more about angle from

https://brainly.com/question/25770607

#SPJ2

Answer: D

Step-by-step explanation:

The answer is letter D, Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS orientation.

Answer:

C.) Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS criterion.

just took the test :)

have a good day

Answer:

If she returns the skis at 3 p.m. she would pay $25. IM NOT SURE ABOUT 3:05 PM

Step-by-step explanation:

Start on the hours rented side. If she rents them at noon you would be at zero. Move to the 3 (in between 2 and 4) then if you go up it hits $25 on the rental cost side.

at 3pm $25

step by step solution

Answer:

French: la somme d'un nombre inconnu et 12

Spanish: la suma de un número desconocido y 12

Latin: XII numerus ignotus est et summa

Step-by-step explanation:

Answer:

Angle C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

89.9 from 44.689

789.03 from 999.8

₹ 789.56 from ₹ 1052. 5

15.56 kg from 28 kg

Computation:

89.9 from 44.689

44.689 - 89.9

-45.211

789.03 from 999.8

999.8 - 789.03

210.77

₹ 789.56 from ₹ 1052.5

₹ 1052.5 - ₹ 789.56

₹262.94

15.56 kg from 28 kg

28 kg - 15.56 kg

124.44 kg

Answer:

1 3/4 pounds.

Step-by-step explanation:

4 1/2 = 4 2/4

4 2/4 - 2 3/4 = 1 3/4

Answer:

1 [tex]\frac{3}{4}[/tex] pounds of sand is left in the bucket

Step-by-step explanation:

4.5 - 2.75 = 1.75 or 1 3/4

Answer:

a ratio that compares a selected number of parts. to the total number of parts in a whole.

Step-by-step explanation:

Answer:

Should be 129,37333333

Answer:

Step-by-step explanation:first you divide 530.2/3=176.73, then you subtract 47.36=129.37

Answer:

Length = 22 ; width = 10

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 64 feets

Length = 2 + (2*width)

Let :

Length = l ; width = w

Perimeter = 2((2 + (2w)) + w)

64 = 2(2 + 3w)

64 = 4 + 6w

64 - 4 = 6w

60 = 6w

w = 60/6

w = 10

Width = 10

Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22

Answer:50 feet

Step-by-step explanation:

Answer:2 is equal to 18/1 which is 36 divided by 2

Step-by-step explanation:

Answer:

1 is 20/1 or 20 miles per hour

2 is 18/1 or 18 push ups per min

3 is 15/1 or 15 dollars per hour

4 is 50/1 or 50 km per hour

Step-by-step explanation:

divide the numerators by the denominators

9514 1404 393

Answer:

  a) yes; 12/15/17 ~ 20/25/x; SAS

  b) x = 28 1/3

Step-by-step explanation:

The left-side segments are in the ratio ...

  top : bottom = 12 : 8 = 3 : 2

The right side segments are in the ratio ...

  top : bottom = 15 : 10 = 3 : 2

These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.

Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:

  12/15/17 ~ 20/25/x

__

The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:

  x = 17/12 · 20 = 340/12

  x = 28 1/3

Answer: 2.5 gallons

Step-by-step explanation:

Given that:

Gallons of paint had = 6.25 gallons

Amount needed to paint room = 2/5 of the paint

Gallons of paint needed :

2/5 of 6.25

(2 * 6.25) / 5 gallons

= 12.5 / 5

= 2.5 gallons

Answer:

m = -1

Step-by-step explanation:

y = -x can also be written as

y = -1x + 0

The slope is -1.

In slope intercept equations, if the slope is '1' or '-1' they would usually drop the one.

Hope this helps.

Answer:

the slope of the line y = -x will be: m = -1

The line graph is also attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the line

[tex]y = -x[/tex]

comparing with the slope-intercept form of the line equation

Therefore, the slope of the line y = -x will be: m = -1

The line graph is also attached below.

Answer:

Step-by-step explanation:

1/2

Complete Question

The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school's football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.

Part A

Write an expression that represents the perimeter of the football field. Let x Represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses.

Part B

The cross country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap?

Answer:

 [tex]p=4A-140[/tex]

[tex]T =or 62sec[/tex]

Step-by-step explanation:

From the question we are told that

The width of the field is seventy yards shorter than the length.

a) Generally the equation for width and length is given as

         [tex]B=x-70[/tex]

Mathematically  in finding the perimeter [tex]p[/tex] around the field

         [tex]p=2(A+B)[/tex]

         [tex]p=2(2A-70)[/tex]

         [tex]p=4A-140[/tex]

b)Generally[tex]A=120[/tex]

Mathematically

         [tex]p= 4(120) -140[/tex]

         [tex]p=480-140[/tex]

         [tex]p= 340[/tex]

Therefore

Yards ran by individual athlete[tex]Y[/tex]

          [tex]340*5=1700\\Y=1700[/tex]

Time elapsed in a lap T

    [tex]T=\frac{340}{1700} *6\\T=1.2min[/tex]

    [tex]T =or \hspace 662sec[/tex]

Answer:

Both B and C, but I am not sure about just one answer.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

This is the answer because:

1) The mode is the element that occurs most in the data set. In this case, 9  occurs 4 times.

Therefore, the answer is 9.

Hope this helps! :D

Answer:

m = -60

b = 300

y = -60x + 300

Step-by-step explanation:

(0,300) and (5,0)

m = y2 - y1/x2 - x1

m = 0 - 300/5 - 0

m = -300/5

m = -60/1

m = -60

y-intercept = b = 300

slope intercept form: y = mx + b

y = mx + b

y = -60x + 300

Answer:

m = -60

b = 300

y = -60x + 300

Step-by-step explanation:

(0,300) and (5,0)

m = y2 - y1/x2 - x1

m = 0 - 300/5 - 0

m = -300/5

m = -60/1

m = -60

y-intercept = b = 300

slope intercept form: y = mx + b

y = mx + b

y = -60x + 300

Answer:

B

this is because the way the other 3 are set up it just makes it b

Answer:

x = 53/5

Step-by-step explanation:

see pic

Answer:

Step-by-step explanation:

f(x)=[tex]e^{x}[/tex]

g(x)= x-4

g∅f(x) = [tex]e^{x}[/tex]-4

Answer:

(g•f)(x)=e^x -4

Step-by-step explanation: