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Advocard [28]
3 years ago
15

On a clear day you can see about 25.2 miles from the upper observation platform of the Eiffel tower in Paris. Using the formula

below, estimate the height in feet, h, of the upper observation platform.
d=\frac{5}{6} \sqrt{h}

A. 875 feet
B. 4.2 miles
C. 529 feet
D. 914 feet
Mathematics
2 answers:
fredd [130]3 years ago
8 0

Answer:

D. 914 feet

Step-by-step explanation:

We are given the distance that a person can see on a clear day from the upper observation platform of the Eiffel tower in Paris. We are then required to estimate the height of the upper observation platform using the formula;

d=\frac{5}{6}\sqrt{h}

Where d is the distance and h the height of the upper observation platform. The first step would be to solve for h, that is make h the subject of the formula in the above equation;

We multiply both sides of the equation by the reciprocal of 5/6 which is 6/5;

\sqrt{h}=\frac{6}{5}d

The next step is to eliminate the square root on the Left Hand Side of the equation by squaring both sides;

h=1.44d^{2}

Given d is 25.2, h becomes;

h=1.44*25.2^{2}\\h=914.4576

To the nearest whole number, h becomes 914

Crank3 years ago
3 0

Answer: 914 ft

Step-by-step explanation:

a p e x

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The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is form
PtichkaEL [24]
Yes; a triangle is formed:
<span>______________________________________________________</span>
m∡A = 17° ;
m∡B = 137° (given) ;
m∡C = 26° ;
   a = 6 ;
   b = 14 (given) ;
   c = 9 (given) .
______________________________________________________
Explanation:
______________________________________________________
Note:

The law of sines:

(sin A) / a = (sin B) / b = (sin C) / c ;
______________________________________________________
Given: 
______________________________________________________
B = 137 ;
c = 9 ;
b =14 ;
______________________________________________________
 (sin B) / b = (sin C) / c ;
                
 (sin 137) / 14 = (sin C) / 9  ;

 (0.681998360062) / 14 = 0.0487141685758571 = (sin C) / 9  ;
______________________________________________________

sin C = (0.0487141685758571) * (9) ;

sin C =  0.4384275171827139 ;

        Take the "arc sin" of each side of the equation; to isolate "C" on one side of the equation; and to solve for "C" ;

arc sin (C) = arc sin ( 0.4384275171827139) ;

           C = 26.003593520741  ; round to 26.

If all angles of a triangle add up to 180 degrees: then:

A + B + C = 180 ;

A + 137 + 26  = 180 ;

A + 163 = 180 ;

Subtract "163" from each side of the equation; to isolate "A" on one side of the equation; and to solve for "A" ;

A + 163 − 163 = 180 − 163  ;

      A = 17 ;

Now, to solve for "a" ;

(sin A) / a = (sin B)/ b ;

(sin 17) / a = 0.0487141685758571 ;

(0.0487141685758571) a = (sin 17) ;

Divide EACH SIDE of the equation by:  "(0.0487141685758571)"  ;
______________________________________________________
           to isolate "a" on one side of the equation; and to solve for "a" ;
______________________________________________________
[(0.0487141685758571)a ] / (0.0487141685758571) = 

                   (sin 17) / (0.0487141685758571) ;
_________________________________________________________
                   a =  (sin 17) / (0.0487141685758571) ;

                      = (0.292371704723) / (0.0487141685758571) ;

                   a = 6.0017796314787227112 ;  round to "6" .
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4 0
4 years ago
Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg. How many toys did
Vilka [71]

Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg.

Let the number of toys Oleg has = x

Let the number of toys Sasha has = y

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Sasha had twice as many toys as Oleg

So y = 2*x= 2x

Dima had 40 more toys than Oleg.

z = x + 40

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x + y + z= 600

We know y=2x and z=x+40

Replace it for y and z

x + y + z = 600

x + 2x + x + 40 = 600

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Subtract 40 on both sides

4x =  600 - 40

Divide by 4 on both sides

x = \frac{560}{4} = 140

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4 0
4 years ago
Hi, can you help me answer this question please, thank you!
n200080 [17]

As your testing H0:p=0.79, then you have a two-tailed test.

The p-value at two-tailed test is given by:

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Then, you need to check into the standard normal cumulative table to find at which -z you do have a probability of 0.395. Thus:

As you can see in the picture at z=-0.26 you have a P(Z<=-z)=0.3974

And at z=-0.27 you have a P(Z<=-z)=0.3936.

The average of these values is:

\frac{0.3974+0.3936}{2}=0.3955

Then, you have a probability of 0.395 at a z of:

\frac{-0.26+(-0.27)}{2}=-0.265

Then -z=-0.27, thus z=0.27

5 0
1 year ago
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. T
IgorC [24]

Answer:

yes there is a linear correlation

reason : a increase of 1 hour results in an increase of 3 height

y= 3x + 4

it has  a positive slope of 3 ,and y intercept of 4

Step-by-step explanation:

7 0
3 years ago
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Nata [24]

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8 0
3 years ago
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