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yuradex [85]
3 years ago
15

What is the change in elevation from 134 feet below sea level to 29 feet above sea level?

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0
134-29 then whatever that equals do that plus 29
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Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men  standing to the top of the clock tower.

#Taking the right triangle ACD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5

#Taking the right triangle ABD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5

#We equate the two yo solve for x and y;

(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939

Hence, John's distance from the tower's base is 18.7939 m

8 0
3 years ago
A chemist has 200mL of a 10% sucrose solution. She adds x mL of a 40% sucrose solution. The chemist needs the concentration of t
LekaFEV [45]

Answer:

566

Step-by-step explanation:

6 0
3 years ago
What’s the answer to 10a - 13a being factored
solmaris [256]

Answer:

a(10 - 13)

Step-by-step explanation:

The only common factor between these numbers is a, as 10 and 13 do not share factors (13 is prime). We can only factor out a.

7 0
3 years ago
What is the slope of -y=-x+6
Katarina [22]

<u>Answer:</u>

  • m = 1
  • b = -6

<u>Step-by-step explanation:</u>

We know that:

  • -y = -x + 6
  • y = mx + b

First, we need to change the 'y' sign.

  • => -y = -x + 6
  • => y = x - 6

Now, let's compare both of the equations to find slope.

  • => (y = x - 6) = (y = mx + b)

We can see that the slope is 1 and the y-intercept is -6.

<u>Conclusion:</u>

Therefore:

  • m = 1
  • b = -6

Hoped this helped.

4 0
2 years ago
Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord
Readme [11.4K]

Answer:

Area of parallelogram is 150 square ft

Step-by-step explanation:

Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.

Area of parallelogram is base \times height

                                       = 15\times 10ft^2

                                       = 150 square ft

now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.

The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.

2 right angled triangles KPL and NOM by construction

KL^{2}=KP^{2}+PL^{2}=10^{2}+2^{2}                                          =100+4=104

⇒ KL=\sqrt104=10.2 ft=MN         (∵ KLMN is a parallelogram)

Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft

Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.



5 0
3 years ago
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