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Answer:

Tan 50 = H/24

Step-by-step explanation:

The set up will give a right angled triangle;

Given the following

angle of elevation = 50degrees

Distance of elevation from the flagpole base = 24m (Adjacent)

Required

Height of the flagpole (Opposite) = H

Using the SOH CAH TOA identity

Tan theta = opposite/adjacent

Tan 50 = H/24

H = 24tan50

H = 24(1.1918)

H = 28.60

Hence the required expression is Tan 50 = H/24 where H is the height of the flagpole

The height of the flagpole is 28.60.

Given

The angle of elevation to the top of a flagpole is 50 degrees.

The angle of elevation was measured 24 from the base of the flagpole.

The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.

Let the height of the flagpole be H.

Then,

The height of the flagpole is given by;

[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\ \rm Tan50=\dfrac{H}{24}\\\\H = 24 \times tan50\\\\H = 24\times 1.91\\\\H=28.60[/tex]

Hence, the height of the flagpole is 28.60.

To know more about the angle of elevation click the link given below.

https://brainly.com/question/12992313

Answer:

Both are supplementary angles so

(2x-3) +71 = 180

2x - 3= 180 - 71 = 109

2x = 109 +3 =112

X = 112 / 2= 56

x = 56

Answer:

i think its A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Step-by-step explanation:

So , the value of x is greater then -6 . So , Correct option is  A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answer:

Isosceles triangle has two equal sides and two congruent bases.

Step-by-step explanation:

Isosceles triangle has three sides out of which two are equal. It has two congruent sides. The angle opposite to base is vertex. The two sides of the triangle are congruent and the angles opposite to these sides are also congruent. It is a special type of triangle which is also called equilateral triangle.

Answer:

the answer is 12

I think

Answer:

Whats the question?

Step-by-step explanation:

Srry i couldnt help

Answer: 3 < w < 8

Step-by-step explanation:

If 3 is less than w you would write that as 3 < w.

Now you have 8, which is greater than w and that is written as 8 > w or w < 8.

Therefore, 3 < w < 8

Answer: -3x-7

Step-by-step explanation:

Answer:

probably 0.2 and sorry if wrong

Answer:

D. 32,154

Step-by-step explanation:

54,267 can be written as 54267.0

The 2 in 54 267 should be move 1 place to the left to indicate your multiplying by 10

Moving 1 space to the left = Times 10

Moving 2 places to the left = Times 100

Moving 3 places to the left = Times 1000

Answer: -20xy + 3y² + 3x²

Step-by-step explanation:

(xy + 2y² + 3y² - x²) - (12xy - 10y² - 18x² + 9xy + 12y² + 14x²)

(xy + 5y² - x²) - (21xy + 2y² - 4x²)

xy + 5y² - x² - 21xy - 2y² + 4x²

-20xy + 3y² + 3x²

Answer:

answer below :) hope this helps!

Step-by-step explanation:

Amount invested in Civil investment fund= 10% of 96000 = [tex]\frac{10}{100}[/tex] x 96000 = 10 x 960= 9600

remaing taxable amount = =96000 -(75000+9600)

                             = 96000 - 84600

                             = Rs. 11400

Tax = 15% of 11400

= [tex]\frac{15}{100}[/tex] x 11400 = 15 x 114 = 1710

again, i hope this helps :)

Answer:

See below

Step-by-step explanation:

Problem 1

If n is the smallest of the consecutive integers, the next integer would be n+1.

Problem 2

The equation is terms of n is going to be

s = n + n + 1 + n + 2 + n+3

Problem 3

Collect like terms on the right

s = 4n + 6

Problem 4

4n + 6 = s             Subtract 6 from both sides

4n = s - 6              Divide by 4

n = (s - 6)/4

Problem 5

Solve for n when s = 2174

n = (2174 - 6)/4

n = 2168 / 4

n = 542

check

n                 = 542

n + 1            = 543

n + 2           = 544

n + 3          = 545

Total            2174         Just as it should

Answer:

28

Step-by-step explanation:

multiply the hieght by the base you will get 56 then divide it by 2

Answer:

432

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

8x² + 5x + 5

x = 7

Step 2: Evaluate

Answer:

B). Unique Triangle

Step-by-step explanation:

This lengths make a right triangle therefore it is unique.

Answer:

the answer is b. because if there is a 90 angle it is a unique triangle

Step-by-step explanation:

Answer:

Length of ladder (hypotenuse) = 13 ft

Step-by-step explanation:

Given:

Length of base (base) = 5 ft

Length of ladder (hypotenuse) = a

Distance between ground and ladder top (perpendicular) = a - 1

Find:

Length of ladder

Computation:

a² = 5² + (a-1)²

a² = 25 + a² - 2a + 1

2a = 26

Length of ladder (hypotenuse) = 13 ft

Answer:

i dont understand either

Step-by-step explanation:none

Answer:

D) 1,000,000

Step-by-step explanation:

Here it is.

Step-by-step explanation:

distance = -6-(-2) and 4-2

-6+2 and 2

-4 and 2 is distance

Answer:

[tex]d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]

d = √(4 - (-2))² + (2 - (-6))²

d = √36 + 64

d = 10

Answer:

0

Step-by-step explanation:

The given expression is :

[tex]8.29 \times \frac{ - 5.62 + 5.62}{5.62}[/tex]

We can solve the expression as follows :

[tex]\frac{ - 5.62 + 5.62}{5.62}=\dfrac{0}{5.62}[/tex] (As -5.62+5.62 equals to 0)

Any number multipled to 0 gives 0.

Hence, the value of the given expression is equal to 0.

Answer:

Anne Hathaway: 0.154 = 15.4%

Angelina Jolie: 0.048 = 4.8%

Melissa Leo: 0.029 = 2.9%

Meryl Streep: 0.231 = 23.1%

Kate Winslet: 0.714 = 71.4%

Step-by-step explanation:

Odds to probability:

Odds of a:b

The probability is given by:

[tex]p = \frac{a}{a+b}[/tex]

Anne Hathaway 2:11

So [tex]p = \frac{2}{2+11} = \frac{2}{13} = 0.154[/tex]

Angelina Jolie 1:20

So [tex]p = \frac{1}{1+20} = \frac{1}{21} = 0.048[/tex]

Melissa Leo 1:33

So [tex]p = \frac{1}{1+33} = \frac{1}{34} = 0.029[/tex]

Meryl Streep 3:10

So [tex]p = \frac{3}{3+10} = \frac{3}{13} = 0.231[/tex]

Kate Winslet 5:2

So [tex]p = \frac{5}{5+2} = \frac{5}{7} = 0.714[/tex]

The number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that, John works two jobs. He earns $10 an hour babysitting his neighbour's children and $15 an hour mowing lawns in his neighbourhood. Last week he worked a total of 20 hours and earned a total of $240.

Let the x be the number of hours he spent babysitting and y be the number of hours he spent mowing lawns last week,

Establishing the equation, we get,

x+y = 20

x = 20-y......(i)

10x+15y = 240.......(ii)

Using the equation (i) in (ii), we get

10(20-y)+15y = 240

200-10y+15y = 240

5y = 40

y = 8

Put y = 8 in eq(i)

x = 20-8

x = 12

Hence, the number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.

For more references on equations, click;

https://brainly.com/question/29657983

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Answer:

Could you put this in english so that i'm able to answer..?

Step-by-step explanation:

Answer:

Its 9!

Step-by-step explanation:

6×3=18

18/2=9

Hope this helps and don't forget to follow!

Answer:

5 chicken wings per person

Step-by-step explanation:

if they cooked 34 to begin with then added 11 so

34+11=45

then you divide 45 by 9 equals 5