Hi can anyone help me with this Q ? It’s for my final. I would appreciate it a lot !!
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The angle of elevation from a boat to the top of a 125ft hotel is 22°
How far is the boat from the base of the hotel ? ( round to the nearest TENTH )

Answer:

Step-by-step explanation:

Simplifying

2y + -3x = 18

Reorder the terms:

-3x + 2y = 18

Solving

-3x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

-3x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

-3x + 0 = 18 + -2y

-3x = 18 + -2y

Divide each side by '-3'.

x = -6 + 0.6666666667y

Simplifying

x = -6 + 0.6666666667y

Answer:

9 cm²

Step-by-step explanation:

the area = ½× 3√2 × 3√2 = ½×18 = 9

Answer:

h(3)=19

Step-by-step explanation:

it's saying x=3 so -4×3 is -12 and -12 -7 is 19 so the answer is 19

Answer:

hope this helps

Step-by-step explanation:

Answer:

r =v2 /a

Step-by-step explanation:

a=v2/r

ra=v2

r =v2 /a

Answer:

r = [tex]\frac{v^2}{a}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{v^2}{r}[/tex] ( multiply both sides by r to clear the fraction )

ar = v² ( divide both sides by a )

r = [tex]\frac{v^2}{a}[/tex]

Step-by-step explanation:

l=✓9²+4²

l=√81+16

l=✓97

Answer:

Step-by-step explanation:

12b + 1 5c = 420

b ---> number of hour baby sitting

c-----> number of hours cleaning

c = 32 hours

Plugin c = 32 in the equation,

12b + 15*32 = 420

12b + 480 = 420

Subtract 480 from both sides

12 b = 420 - 480

12b = -60

So, This is not a reasonable value.

2) b = 10 hours

Plugin b = 10 hours

12*10 + 15c = 420

120 + 15c = 420

         15c = 420 -  120

         15c = 300

Divide both sides by 15

c = 300/15

c = 20 hours

He has to do cleaning for 20 hours

Yes, It is reasonable value

Answer:

$2

Step-by-step explanation:

bill = $10

tip = 18%

tip amount = tip % of bill

=18/100 * $10

=$180/100

=$1.8

=$2

Answer:

D. y= -2x+16

Step-by-step explanation:

the slope = -1÷½ = -2

the equation :

y-0= -2(x-8)

y = -2x+16

Answer They will make 30 hamburgers, 16 of them are plain

Step-by-step explanation:

30-6-4-4=16

Answer:

the median is 20 and the mean is 17

Step-by-step explanation:

Answer:

x = 4/3

Step-by-step explanation:

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

take lcm of the denominator

lcm = 12x

[tex]\frac{4*4 +5*3x}{12x} = \frac{3}{x}[/tex]

[tex]\frac{16+15x}{12x} = \frac{3}{x}[/tex]

do cross multiplication

x(16 + 15x) = 3*12x

16x + 15x^2 = 36x

15x^2 = 36x - 16x

15x^2 = 20x

x^2 = 20x /15

x*x = 4x/3

x = 4x/3/x

x = 4x/3 *1/x

x = 4x/3x

x = 4/3

Answer:

A. 4(x - 4) + 2(3x² + 3x - 20)

C. (11x² + 7x - 55)-(5x² - 3x + 1)

F. (3x² + 5x - 28) + (3x² + 5x - 28)

Step-by-step explanation:

Given:

(3x-7)(2x+8)

= 6x² + 24x - 14x - 56

=6x² + 10x - 56

A. 4(x - 4) + 2(3x² + 3x - 20)

= 4x - 16 + 6x² + 6x - 40

= 6x² + 10x - 56

B. (3x² + 5x - 28) - (2x² + 4x + 28)

= 3x² + 5x - 28 - 2x² - 4x - 28

= x² + x - 56

C. (11x² + 7x - 55)-(5x² - 3x + 1)

= 11x² + 7x - 55 - 5x² + 3x - 1

= 6x² + 10x - 56

D. 4(x - 4) - 2(3x² + 3x - 20)

= 4x - 16 - 6x² - 6x + 40

= - 6x² - 2x + 24

E. (11x² + 7x - 55)-(5x² - 3x + 2)

= 11x² + 7x - 55 - 5x² + 3x - 2

= 11x² - 5x² + 7x + 3x - 55 - 2

= 6x² + 10x - 57

F. (3x² + 5x - 28) + (3x² + 5x - 28)

= 3x² + 5x - 28 + 3x² + 5x - 28

= 6x² + 10x - 56

Answer:

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Step-by-step explanation:

Answer:

−18+25+(−37)

[−18+25]+(−37)

Here we will 1

st

solve square bracket

∴[−18+25]+(−37)=7+(−37)

=7−37=−30

−30 is the sum of −18,+25 and −37

Answer:

A

Step-by-step explanation:

third angle=180-(35+73)=180-108=72°

Answer:

10.25

Step-by-step explanation:

26-7(2.25)=10.25

Answer:

$10.25 would be left over

Step-by-step explanation:

Hyunjin spends 7($2.25), or $15.75, for those 7 americanos.

To find out how much money he'd have left, we subtract this $15.75 from his $26, obtaining $10.25.

Answer:

a) [tex]\=x=36.4inches[/tex]

b) [tex]Median=22[/tex]

c) [tex]Mode=18[/tex]

d) [tex]The\ Mean[/tex]

Step-by-step explanation:

From the question we are told that:

Depths:

18 inches,

20 inches

26 inches

22 inches

85 inches

18 inches

24 inches

Sample size [tex]n=7[/tex]

Summation of all depths

 [tex]\sum d=18+20+26+22+85+18+24[/tex]

 [tex]\sum d=255[/tex]

a)

Generally the equation for Mean is mathematically given by

 [tex]\=x=\frac{\sum d}{n}[/tex]

 [tex]\=x=\frac{255}{7}[/tex]

 [tex]\=x=36.4inches[/tex]

b)

Generally the Median is given by the Middle Number which is

 [tex]Median=22[/tex]

c)

Generally the Mode is given by the Highest occurring Number which is

 [tex]Mode=18[/tex]

with two appearances

Therefore

d)

The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is

 [tex]The Mean[/tex]

Answer:

9.998 x [tex]10^{-3}[/tex]

Step-by-step explanation:

[tex]{{hope it helps}}}[/tex]

[tex]\sf\purple{Mutual \:funds}[/tex] collect money from investors, create capital, and offer various investment options.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

25

Step-by-step explanation:

[tex]x = 90 - 65 = 25 degrees[/tex]

The two outside lines form a right angle ( represented by the square). A right angle is 90 degrees.

Subtract the known angle from 90.

X= 90-65 =25

X = 25 degrees

Answer:

an = 4n + 3

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

5m + 1 = 3m + 7

2m = 6

m = 3

The value of m in the figure is 3

From the question, line segments GH and HK are congruent.

So, we have:

GH = HK

Substitute known values

5m + 1 = 3m + 7

Collect like terms

5m - 3m = -1 + 7

Evaluate the like terms

2m = 6

Divide both sides by 2

m = 3

Hence, the value of m in the figure is 3

Read more about quadrilaterals at:

https://brainly.com/question/5715879

Answer:

The equation of the circle is

Formula :

(x- h ) ² + (y-k )² = r²

or, x²-20x +100 + y² -8y + 16 = 16

or, x² + y² -20x -8y + 100 = 0 is the required equation

Answer:

1 x 10^2

Step-by-step explanation:

(2 x 10^5) / (2 x 10^3) = 1 x 10^2

Answer:

y = (x+3)(x+2)(x+1)

Step-by-step explanation:

so how to determine that...

1) it has to be a third order equation (x^3) since it changes direction two times

2) it crosses the x axis at -1,-2,-3 so (x-1),(x-2),and (x-3) are factors

Answer:

9,200

Step-by-step explanation:

72,300 - 63,100 = 9,200

Answer:

28 cm

Step-by-step explanation:

The perimeter (P) is the sum of the sides

P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )

   = 8 + 6 + 8 + 6

   = 28 cm

Answer:

(3 [tex]\frac{1}{3}[/tex] , 5 [tex]\frac{2}{3}[/tex] )

Step-by-step explanation:

x + y = -9    --> y = -x -9  

4x + y = -19 --> y = -4x - 19

Graph accordingly.